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it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | for example , many of the national flags of europe incorporate a cross . in addition , many images of crusaders in our popular culture are indebted to the nineteenth century . some in that century , like the novelist sir walter scott , portrayed crusaders as brave and glamorous yet backward and unenlightened ; simultan... | what affect do crusaders have on society today ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | what are the effects of the crusades on muslim ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | well-known examples include the knights templar ( officially endorsed in 1129 ) , the knights hospitaller ( confirmed by papal bull in 1113 ) , and the teutonic knights ( originated in the late twelfth century ) . the military orders represented a major theological and military development , and went on to play central... | do crusaders still exist , and can we still sign up to be a crusader ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | this was finally completed in 1492 , when the spanish monarchs ferdinand ii and isabella i conquered the last muslim community on the peninsula—the city of granada . they expelled jews from the country in the same year . and of course , they also authorized and supported the expeditions of christopher columbus , who—li... | how did the crusades affect the lives of muslims , jews , and christians ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | after the crusades was a truce or treaty made between muslims and christians ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | and it both reflected and influenced devotional trends . for example , while there was some dedication to st. george from the early middle ages , the intensity of that devotion soared in europe after he reportedly intervened miraculously at the battle of antioch in 1098 , during the first crusade . secular political th... | why was st. george 's intervention at the battle of antioch important ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | to what extent did crusades resemble muslim jihad ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | what were the causes of the crusades ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | how was cuba affected during the crusades ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | why did the crusades go through all that trouble ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | how did the crusades impact globalization ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . | what did the mongols make the russians do to keep from being destroyed during the 1200 's ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | for example , many of the national flags of europe incorporate a cross . in addition , many images of crusaders in our popular culture are indebted to the nineteenth century . some in that century , like the novelist sir walter scott , portrayed crusaders as brave and glamorous yet backward and unenlightened ; simultan... | what did the opposing people , the people that the crusaders marched and fought against consider these wars , and the crusaders themselves ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | why do most historians suggest that the crusades were a dismal failure ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | impact world-wide fourth , the crusading movement has left an imprint on the world as a whole . for example , many of the national flags of europe incorporate a cross . in addition , many images of crusaders in our popular culture are indebted to the nineteenth century . | which of the crusades gained the most territory for christian europe ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | military orders first , the earliest military orders originated in jerusalem in the wake of the first crusade . a military order is a religious order in which members take traditional monastic vows—communal poverty , chastity , and obedience—but also commit to violence on behalf of the christian faith . well-known exam... | what were the territories and who were the leaders of the christian and muslim forces ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | he paid to have it rebuilt , thus helping encourage modern islamic appreciation of saladin . sometimes the european influence was more diffuse . modern crusading histories in the islamic world began to be written in the 1890s , when the ottoman empire was in crisis . | how did european politics change after the crusades ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first crusade . a military order is a religious order in which members take traditional monastic vows—communal poverty , chastity , and obedience—but also c... | what is the importance of the first crusade today ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | what are some examples of the impact of the crusades or even the word 'crusade ' ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | the movement helped both to militarize the medieval western church and to sustain criticism of that militarization . it arguably helped solidify the pope ’ s control over the church and made certain financial innovations central to church operations . and it both reflected and influenced devotional trends . | so the crusades made the church a lot more powerful ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first crusade . a military order is a religious order in which members take traditional monastic vows—communal poverty , chastity , and obedience—but also c... | in your opinion what would you say was the most impactful moment in the first crusade ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | well-known examples include the knights templar ( officially endorsed in 1129 ) , the knights hospitaller ( confirmed by papal bull in 1113 ) , and the teutonic knights ( originated in the late twelfth century ) . the military orders represented a major theological and military development , and went on to play central... | what was one lasting impact of the crusades that still exists today ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | credit infrastructures within europe rose to meet similar needs , and some locales—venice , in particular—benefitted significantly in economic terms . it goes without saying that the crusades also had a highly negative effect on interfaith relations . impact world-wide fourth , the crusading movement has left an imprin... | did the reigning caliph call for a renewed jihad after the crusades ? |
it is hard to summarize the impact of a movement that spanned centuries and continents , crossed social lines , and affected all levels of culture . however , there are a few central effects that can be highlighted . military orders first , the earliest military orders originated in jerusalem in the wake of the first c... | after the ottomans , some arab nationalists interpreted nineteenth-century imperialism as crusading , and thus linked their efforts to end imperial rule with the efforts of muslims to resist crusading in previous centuries . it would be reassuring to believe that nobody in the west has provided grounds for such beliefs... | would it be legitimate to say that the syrian crisis is a modern extension of the medieval crusades ? |
more than an accessory ( way more ) today it might be fairly common to see feathered headdresses worn at outdoor music festivals as an attractive or visually powerful accessory . however , feathered headdress replicas in this context misuse important cultural and spiritual objects of the native tribes of the great plai... | a warrior would also be wearing a war shirt , breastplate , and leggings to complete his outfit . similar to the way in which a feather was earned for brave deeds , the stripes on a warrior ’ s leggings could designate specific exploits . war shirts also communicated a warrior ’ s status because locks of hair ( horse o... | does each individual feather represent a brave act ? |
overview the bill of rights is the name given to the first 10 amendments to the us constitution . the bill of rights consists of guarantees of civil liberties and checks on state power ; it was added in order to convince states to ratify the constitution . the constitutional convention by the time the constitutional co... | overview the bill of rights is the name given to the first 10 amendments to the us constitution . the bill of rights consists of guarantees of civil liberties and checks on state power ; it was added in order to convince states to ratify the constitution . | are there any symbols actually banned ? |
overview the bill of rights is the name given to the first 10 amendments to the us constitution . the bill of rights consists of guarantees of civil liberties and checks on state power ; it was added in order to convince states to ratify the constitution . the constitutional convention by the time the constitutional co... | the ninth amendment acknowledges that the other eight amendments are not an exhaustive list of all of the rights and protections to which citizens are guaranteed , and the tenth amendment declares that any powers not explicitly delegated to the federal government in the constitution are to be left to the states . this ... | just checking - i thought the 9th amendment said powers not specified to the federal government would be retained by the people and the 10th said powers not specified to the federal government would be retained by the states ... .what am i missing ? |
overview the bill of rights is the name given to the first 10 amendments to the us constitution . the bill of rights consists of guarantees of civil liberties and checks on state power ; it was added in order to convince states to ratify the constitution . the constitutional convention by the time the constitutional co... | additionally , there was no established mechanism through which states could adjudicate conflicts . many of the delegates to the constitutional convention understood that the articles of confederation would need to be supplanted entirely , not merely revised . to this end , the delegates spent months debating and shapi... | do any small bits and pieces of the original articles of confederation still exist in american gov't today ? |
overview the bill of rights is the name given to the first 10 amendments to the us constitution . the bill of rights consists of guarantees of civil liberties and checks on state power ; it was added in order to convince states to ratify the constitution . the constitutional convention by the time the constitutional co... | to this end , the delegates , led by virginian james madison set to work on drafting a list of checks on federal power that would ensure the full exercise of individual liberty . the bill of rights the bill of rights consists of 10 amendments that explicitly guarantee certain rights and protections to us citizens by li... | why were the authors of the federalist papers ( nationalists ) against the bill of rights ? |
overview the bill of rights is the name given to the first 10 amendments to the us constitution . the bill of rights consists of guarantees of civil liberties and checks on state power ; it was added in order to convince states to ratify the constitution . the constitutional convention by the time the constitutional co... | the bill of rights has influenced countless political leaders around the globe since their authorization into force in the united states in 1787 . what do you think ? why did the delegates to the constitutional convention find it necessary to draft the bill of rights ? | do you think the 17th amendment was in keeping with the founding father 's ideology or was it contrary to the premise of the american form of government ? |
overview the bill of rights is the name given to the first 10 amendments to the us constitution . the bill of rights consists of guarantees of civil liberties and checks on state power ; it was added in order to convince states to ratify the constitution . the constitutional convention by the time the constitutional co... | the second amendment declares that properly constituted militias are a safeguard of liberty and that the right to bear arms will be protected . the third amendment restricts the quartering of soldiers in private homes—an extremely contentious issue that had led the colonists to war with great britain . the fourth amend... | is the third amendment applicable today ? |
overview the bill of rights is the name given to the first 10 amendments to the us constitution . the bill of rights consists of guarantees of civil liberties and checks on state power ; it was added in order to convince states to ratify the constitution . the constitutional convention by the time the constitutional co... | to this end , the delegates , led by virginian james madison set to work on drafting a list of checks on federal power that would ensure the full exercise of individual liberty . the bill of rights the bill of rights consists of 10 amendments that explicitly guarantee certain rights and protections to us citizens by li... | who helped draft the bill of rights ? |
the sarcophagus of the spouses is an anthropoid ( human-shaped ) , painted terracotta sarcophagus found in the ancient etruscan city of caere ( now cerveteri , italy ) . the sarcophagus , which would have originally contained cremated human remains , was discovered during the course of archaeological excavations in the... | the sarcophagus of the spouses is an anthropoid ( human-shaped ) , painted terracotta sarcophagus found in the ancient etruscan city of caere ( now cerveteri , italy ) . the sarcophagus , which would have originally contained cremated human remains , was discovered during the course of archaeological excavations in the... | was the sarcophagus of the spouses painted ? |
the sarcophagus of the spouses is an anthropoid ( human-shaped ) , painted terracotta sarcophagus found in the ancient etruscan city of caere ( now cerveteri , italy ) . the sarcophagus , which would have originally contained cremated human remains , was discovered during the course of archaeological excavations in the... | the sarcophagus of the spouses is an anthropoid ( human-shaped ) , painted terracotta sarcophagus found in the ancient etruscan city of caere ( now cerveteri , italy ) . the sarcophagus , which would have originally contained cremated human remains , was discovered during the course of archaeological excavations in the... | what was the function of this piece ? |
the sarcophagus of the spouses is an anthropoid ( human-shaped ) , painted terracotta sarcophagus found in the ancient etruscan city of caere ( now cerveteri , italy ) . the sarcophagus , which would have originally contained cremated human remains , was discovered during the course of archaeological excavations in the... | the sarcophagus of the spouses is an anthropoid ( human-shaped ) , painted terracotta sarcophagus found in the ancient etruscan city of caere ( now cerveteri , italy ) . the sarcophagus , which would have originally contained cremated human remains , was discovered during the course of archaeological excavations in the... | even though it is called `` sarcophagus of the spouses '' is it actually an urn because it contained ashes ? |
in 1994 , unesco ( the united nations educational , scientific and cultural organization ) named the earliest sixteenth-century mexican monasteries found on the slopes of the popocatepetl volcano in central mexico a world heritage site . these fourteen monasteries define the history of christian evangelization for much... | the carving style of the dynamic hovering angels is at times described as romanesque , gothic , tequitqui , or indo-christian. $ ^1 $ many sculpted and frescoed details from this period can be traced to northern european prints while the overall theological program was most likely envisioned by people like friar pedro ... | how much physical resistance was there to all of the proselytizing in new spain ? |
in 1994 , unesco ( the united nations educational , scientific and cultural organization ) named the earliest sixteenth-century mexican monasteries found on the slopes of the popocatepetl volcano in central mexico a world heritage site . these fourteen monasteries define the history of christian evangelization for much... | in 1994 , unesco ( the united nations educational , scientific and cultural organization ) named the earliest sixteenth-century mexican monasteries found on the slopes of the popocatepetl volcano in central mexico a world heritage site . these fourteen monasteries define the history of christian evangelization for much... | the second paragraph make reference to the years these temples were built , i wonder how much time and who were involved in building them ? |
overview the enlightenment was an intellectual movement in the eighteenth century that emphasized reason and science . the british colonist benjamin franklin gained fame on both sides of the atlantic as a printer , publisher , and scientist . he embodied enlightenment ideals in the british atlantic with his scientific ... | finally , cosmopolitanism reflected enlightenment thinkers ’ view of themselves as actively engaged citizens of the world as opposed to provincial and close-minded individuals . in all , enlightenment thinkers endeavored to be ruled by reason , not prejudice . ben franklin , symbol of the enlightenment the freemasons w... | what is the relationship between the enlightenment and the great awakening ? |
overview the enlightenment was an intellectual movement in the eighteenth century that emphasized reason and science . the british colonist benjamin franklin gained fame on both sides of the atlantic as a printer , publisher , and scientist . he embodied enlightenment ideals in the british atlantic with his scientific ... | overview the enlightenment was an intellectual movement in the eighteenth century that emphasized reason and science . the british colonist benjamin franklin gained fame on both sides of the atlantic as a printer , publisher , and scientist . | so did the enlightment have impact on the further socialism ? |
overview the enlightenment was an intellectual movement in the eighteenth century that emphasized reason and science . the british colonist benjamin franklin gained fame on both sides of the atlantic as a printer , publisher , and scientist . he embodied enlightenment ideals in the british atlantic with his scientific ... | freemasonry originated in london coffeehouses in the early 18th century , and masonic lodges—local units—soon spread throughout europe and the british colonies . one prominent freemason , benjamin franklin , stands as the embodiment of the enlightenment in british america . born in boston in 1706 to a large puritan fam... | what were the skelton discovered under benjamin franklins house ? |
overview the enlightenment was an intellectual movement in the eighteenth century that emphasized reason and science . the british colonist benjamin franklin gained fame on both sides of the atlantic as a printer , publisher , and scientist . he embodied enlightenment ideals in the british atlantic with his scientific ... | freemasonry originated in london coffeehouses in the early 18th century , and masonic lodges—local units—soon spread throughout europe and the british colonies . one prominent freemason , benjamin franklin , stands as the embodiment of the enlightenment in british america . born in boston in 1706 to a large puritan fam... | whose unexpected reaction after one of george whitefield 's sermons demonstrated how powerful whitefield 's preaching style was ? |
according to legend , the vienna coronation gospels ( c. 795 ) were discovered in charlemagne 's tomb within the palatine chapel in the year 1000 by otto iii ; the emperor had apparently been buried enthroned , that is , sitting up , with the gospels in his lap ( charlemagne was king of the franks and became the first ... | while the coronation matthew seems to take a peaceful moment of reflection , the ebbo matthew appears to be in anguish over his writing ( image below ) , which is directed by his evangelist symbol , the winged man , who instructs him from the upper right hand corner of the image . lastly , it should be noted that the e... | why is the utrecht psalter `` infamous '' ? |
components are in series if they are joined end to end like this : we 'll work with resistors to reveal the properties of the series connection . resistors in series resistors are in series when they are connected head-to-tail and there are no other wires branching off from the nodes between components . in the followi... | we conclude : for resistors in series , the overall resistance is the sum of the individual resistors . equivalent series resistor we can imagine a new bigger resistor equivalent to the sum of the series resistors . it is equivalent in the sense that , for a given $ \text v_\text { s } $ , the same current $ \blued i $... | how do i size the resistor to arrive at a maximum pull of 20 ma or 10 or 40 exactly ? |
components are in series if they are joined end to end like this : we 'll work with resistors to reveal the properties of the series connection . resistors in series resistors are in series when they are connected head-to-tail and there are no other wires branching off from the nodes between components . in the followi... | reflection based on the resistor voltages you just computed : summary resistors in series share the same current . resistors in series add , $ \text r_ { \text { series } } = \text { r1 } + \text { r2 } + ... + \text { r } _\text n $ voltage distributes amongst series resistors , with the largest voltage across the lar... | in problem 2 , does n't the largest resistor ( 1200 ohms ) have the largest voltage ( 6v ) ? |
components are in series if they are joined end to end like this : we 'll work with resistors to reveal the properties of the series connection . resistors in series resistors are in series when they are connected head-to-tail and there are no other wires branching off from the nodes between components . in the followi... | two things we do know are : the three resistor voltages have to add up to $ v_ { \text s } $ . current $ i $ flows through all three resistors . with this little bit of knowledge , and ohm 's law , we can write these expressions : $ v_ { \text { s } } = v_ { \text { r1 } } + v_ { r2 } + v_ { r3 } $ $ v_ { \text r1 } = ... | in problem 4 , do n't all the resistors share the same current ? |
what are clusters in scatter plots ? sometimes the data points in a scatter plot form distinct groups . these groups are called clusters . consider the scatter plot above , which shows nutritional information for $ 16 $ brands of hot dogs in $ 1986 $ . ( each point represents a brand . ) the points form two clusters , ... | what are clusters in scatter plots ? sometimes the data points in a scatter plot form distinct groups . | how do you write an equation for the line of best fit ? |
what are clusters in scatter plots ? sometimes the data points in a scatter plot form distinct groups . these groups are called clusters . consider the scatter plot above , which shows nutritional information for $ 16 $ brands of hot dogs in $ 1986 $ . ( each point represents a brand . ) the points form two clusters , ... | what are clusters in scatter plots ? sometimes the data points in a scatter plot form distinct groups . these groups are called clusters . | how close does data points have to be in order for it to be a cluster ? |
what are clusters in scatter plots ? sometimes the data points in a scatter plot form distinct groups . these groups are called clusters . consider the scatter plot above , which shows nutritional information for $ 16 $ brands of hot dogs in $ 1986 $ . ( each point represents a brand . ) the points form two clusters , ... | what are clusters in scatter plots ? sometimes the data points in a scatter plot form distinct groups . these groups are called clusters . | is it possible for a scatter plot to have a postitive or negative assiciation that is not linear ? |
background partial derivatives vector fields note : throughout this article i will use the following convention : $ \hat { \textbf { i } } $ represents the unit vector in the $ x $ -direction . $ \hat { \textbf { j } } $ represents the unit vector in the $ y $ -direction . what we 're building to curl measures the `` r... | if it equals $ 0 $ , there is no rotation in the fluid around $ ( x_0 , y_0 ) $ . if you are curious about the specifics , this formula gives precisely twice the angular velocity of the fluid near $ ( x_0 , y_0 ) $ . some authors will call this the `` two-dimensional curl '' of $ \vec { \textbf { v } } $ . | does anyone have any clues as to why that formula is twice the angular velocity ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | again , luckily for florence , the duke was defeated in 1425 . the florentine citizens interpreted these military `` victories '' as signs of god 's favor and protection . they imagined themselves as the `` new rome '' -- in other words , as the heirs to the ancient roman republic , prepared to sacrifice for the cause ... | in the 5th sentence of the 3rd paragraph of the 2nd section , it says that the florentine citizens thought that the `` victories '' were signs of god 's favor and protection , but when they thought that they were apparently the heirs to rome , would n't that kind of get in the way of the roman culture and gods ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | why did the renaissance begin in florence ? there are several answers to that question : extraordinary wealth accumulated in florence during this period among a growing middle and upper class of merchants and bankers . with the accumulation of wealth often comes a desire to use it to enjoy the pleasures of life—and not... | and i had a question.. when was leonardo da vinci first discovered in the art industry ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | political power resided in the hands of middle-class merchants , a few wealthy families ( such as the medici , important art patrons who would later rule florence ) and the powerful guilds . why did the renaissance begin in florence ? there are several answers to that question : extraordinary wealth accumulated in flor... | what does the author mean by 'rebirth of the renaissance ' ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | political power resided in the hands of middle-class merchants , a few wealthy families ( such as the medici , important art patrons who would later rule florence ) and the powerful guilds . why did the renaissance begin in florence ? there are several answers to that question : extraordinary wealth accumulated in flor... | how is the style of italian renaissance art different from their flemish counterparts and what can account for this difference ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | ) , each with their own government ( some were ruled by despots , and others were republics ) . italy in 1494 the florentine republic we normally think of a republic as a government where everyone votes for representatives who will represent their interests to the government ( think of the united states pledge of alleg... | during this period of time , since archaeology as we think of it today was a long ways off , what was the main source of knowledge about rome ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | luckily for florence , the duke of milan caught the plague and died in 1402 . then , between 1408 and 1414 florence was threatened once again , this time by the king of naples , who also died before he could successfully conquer florence . and in 1423 the florentine people prepared for war against the son of the duke o... | i 'm just wondering , did they worship the roman gods in florence at that time ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | political power resided in the hands of middle-class merchants , a few wealthy families ( such as the medici , important art patrons who would later rule florence ) and the powerful guilds . why did the renaissance begin in florence ? there are several answers to that question : extraordinary wealth accumulated in flor... | what characteristics made an art piece be a renaissance ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own government ( some were ruled by despots , and others were republics ) . | what are two reasons why the `` rebirth '' of classic greek and roman styles happen in florence instead of other italian city-states ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | the florentine citizens interpreted these military `` victories '' as signs of god 's favor and protection . they imagined themselves as the `` new rome '' -- in other words , as the heirs to the ancient roman republic , prepared to sacrifice for the cause of freedom and liberty . the florentine people were very proud ... | why are there many times in history that places think they are the new rome ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own government ( some were ruled by despots , and others were republics ) . | why did florence become the most influenced city-state ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | political power resided in the hands of middle-class merchants , a few wealthy families ( such as the medici , important art patrons who would later rule florence ) and the powerful guilds . why did the renaissance begin in florence ? there are several answers to that question : extraordinary wealth accumulated in flor... | why was the renaissance kept in history ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | however , florence was a republic in the sense that there was a constitution which limited the power of the nobility ( as well as laborers ) and ensured that no one person or group could have complete political control ( so it was far from our ideal of everyone voting , in fact a very small percentage of the population... | what were some examples of the `` powerful guilds '' mentioned in the second paragraph and were they in any way similar to bards ' guilds ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own government ( some were ruled by despots , and others were republics ) . | why is florence the most influential city state ? |
the renaissance really gets going in the early years of 15th century in florence . in this period , which we call the early renaissance , florence is not a city in the unified country of italy , as it is now . instead , italy was divided into many city-states ( florence , milan , venice etc . ) , each with their own go... | the florentine people feared the loss of liberty and respect for individuals that was the pride of their republic . luckily for florence , the duke of milan caught the plague and died in 1402 . then , between 1408 and 1414 florence was threatened once again , this time by the king of naples , who also died before he co... | also , how did the king of naples and the son of the duke of milan die ? |
while one may be inclined to emphasize how “ foreign ” the medieval book is—they are , after all , made of dead cows , and are handwritten—they present such recognizably modern features as a justified text , footnotes , running titles and page numbers . visiting a bookseller the similarities run much further than mere ... | in the 16th century only large choir books ( which did not fit on the press ) and handsome presentation copies , custom-made for an affluent client , were still written by hand . and so we see scribes jumping the handwritten ship , many ending up working in printing shops . here , too , a striking parallel between the ... | or is there any such market ( even if tiny ) for handwritten codex today ? |
while one may be inclined to emphasize how “ foreign ” the medieval book is—they are , after all , made of dead cows , and are handwritten—they present such recognizably modern features as a justified text , footnotes , running titles and page numbers . visiting a bookseller the similarities run much further than mere ... | these hired hands were given contracts which specified precisely what they would have to do and how much money they received for it . from time to time the stationer would come and check on the progress they made . in some manuscripts these cost estimates were scribbled in the margin . although making books for profit ... | the last photo ( of a pencil note in a margin ) made me curious : when were pencils invented ? |
while one may be inclined to emphasize how “ foreign ” the medieval book is—they are , after all , made of dead cows , and are handwritten—they present such recognizably modern features as a justified text , footnotes , running titles and page numbers . visiting a bookseller the similarities run much further than mere ... | one copied the text , another drew the images , and a third bound the book . these hired hands were given contracts which specified precisely what they would have to do and how much money they received for it . from time to time the stationer would come and check on the progress they made . | hoe much would a manuscript cost around 1400 ( expressed in today 's standard ) ? |
while one may be inclined to emphasize how “ foreign ” the medieval book is—they are , after all , made of dead cows , and are handwritten—they present such recognizably modern features as a justified text , footnotes , running titles and page numbers . visiting a bookseller the similarities run much further than mere ... | one copied the text , another drew the images , and a third bound the book . these hired hands were given contracts which specified precisely what they would have to do and how much money they received for it . from time to time the stationer would come and check on the progress they made . | how much would a scribe usually be able to write in a day ? |
the following is a onversation about donatello 's david between dr. beth harris and dr. steven zucker : sz : seeing donatello 's david in the bargello in florence makes me realize just how different it is from the later , more famous version of david by michelangelo . it feels so much more intimate and so much less pub... | david and goliath the subject of this sculpture is david and goliath , from the old testament . according to the story , israel ( the descendents of abraham , isaac and jacob ) is threatened by goliath , a `` giant of a man , measuring over nine feet tall . he wore a bronze helmet and a coat of mail that weighed 125 po... | would it be correct to say that it 's homoerotic aspect was the exact reason why it was created , ( and of a young man conquering an older man ) ? |
the following is a onversation about donatello 's david between dr. beth harris and dr. steven zucker : sz : seeing donatello 's david in the bargello in florence makes me realize just how different it is from the later , more famous version of david by michelangelo . it feels so much more intimate and so much less pub... | sz : right , donatello 's figure of david is almost too sensuous for the subject being represented . in some sense this is n't really a biblical representation at all ; donatello seems to have used the excuse of the boy who eschews armor in order to represent not the judaic tradition but instead the ancient greek and r... | it is classical- it is beautiful- is it a depiction of a biblical story or merely a title attached to an erotic representation , ( ie : high end porn ) for a private collection ? |
the following is a onversation about donatello 's david between dr. beth harris and dr. steven zucker : sz : seeing donatello 's david in the bargello in florence makes me realize just how different it is from the later , more famous version of david by michelangelo . it feels so much more intimate and so much less pub... | sz : true , and each one will have to grapple with donatello 's great achievement . david and goliath the subject of this sculpture is david and goliath , from the old testament . according to the story , israel ( the descendents of abraham , isaac and jacob ) is threatened by goliath , a `` giant of a man , measuring ... | what book in the bible tells the story about david and goliath ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the s... | can you find slope with a x intercept ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the s... | i was just wondering , if m is the slope , how does x interact with m in the equation ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . | why do we use the variables m_ and _b ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | it has the following general structure . drum roll ... $ \large y=\maroonc { m } x+\greene { b } $ here , $ \maroonc { m } $ and $ \greene { b } $ can be any two real numbers . for example , these are linear equations in slope-intercept form : $ y=2x+1 $ $ y=-3x+2.7 $ $ y=10-100x $ on the other hand , these linear equa... | what does the x in the equation y=mx+b represent ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | how do you write an equation in slope-intercept form if you have one point ( not the y-intercept ) and the slope ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | how do you find y-intercept if you only have slope ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the s... | can you find the x intercept by putting the equation into y intercept form ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the s... | how do i find the y intercept of a parabola ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | how do i write an equation in slope-intercept form with perpendicular line ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | the slope of that equation , too , is negative , and i thought that 's all that matters to represent a line with that slope , and the y-intercept of that line can be either at ( 0,3 ) like the correct equation , or at ( 0 , -3 ) like the equation above , right ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | for this reason , the slope is $ \maroonc { 2 } $ . challenge problem | how would you find the slope in the problem , 4x-5y=20 ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the s... | if the slope and y-intercept equal zero is it undefined ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | in this section we 'll take a look at this property using the equation $ y=\maroonc { 2 } x+\greene { 1 } $ as an example . why $ \greene { b } $ gives the $ y $ -intercept at the $ y $ -intercept , the $ x $ -value is always zero . so if we want to find the $ y $ -intercept of $ y=\maroonc { 2 } x+\greene { 1 } $ , we... | how can i find the x intercept ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | what would you do if there was a horizontal or vertical line to find the slope ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . | are the exercises in the textual lessons counted/saved ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | how do i find the slope and y-intercept , for 3x-8y=16 ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | how could i solve intercept form if its in either a one-step or two-step equation ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . | how would you write an equation of a given line to a graph ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | explain me how do you write an equation for a given line ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | if i had a question that gave me the slope ( 3 ) and points ( 2 , -3 ) how would i find the y intercept ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the slope and the $ y $ -intercept of a line from its slope-intercept equatio... | how do we find the slope of a line that is given in slope-intercept form ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | $ \begin { align } y & amp ; =\maroonc { 2 } x+\greene { 1 } \\ & amp ; =\maroonc { 2 } \cdot 0+\greene { 1 } & amp ; \gray { \text { substitute } x=0 } \\ & amp ; =0+\greene { 1 } \\ & amp ; =\greene { 1 } \end { align } $ we see that at the $ y $ -intercept , $ \maroonc { 2 } x $ becomes zero , and therefore we are l... | why is x multiplied by the slope ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | why $ \greene { b } $ gives the $ y $ -intercept at the $ y $ -intercept , the $ x $ -value is always zero . so if we want to find the $ y $ -intercept of $ y=\maroonc { 2 } x+\greene { 1 } $ , we should substitute $ x=0 $ and solve for $ y $ . $ \begin { align } y & amp ; =\maroonc { 2 } x+\greene { 1 } \\ & amp ; =\m... | is it true that f ' ( x ) =m ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | it has the following general structure . drum roll ... $ \large y=\maroonc { m } x+\greene { b } $ here , $ \maroonc { m } $ and $ \greene { b } $ can be any two real numbers . for example , these are linear equations in slope-intercept form : $ y=2x+1 $ $ y=-3x+2.7 $ $ y=10-100x $ on the other hand , these linear equa... | ..how do we solve b though ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | so if we want to find the $ y $ -intercept of $ y=\maroonc { 2 } x+\greene { 1 } $ , we should substitute $ x=0 $ and solve for $ y $ . $ \begin { align } y & amp ; =\maroonc { 2 } x+\greene { 1 } \\ & amp ; =\maroonc { 2 } \cdot 0+\greene { 1 } & amp ; \gray { \text { substitute } x=0 } \\ & amp ; =0+\greene { 1 } \\ ... | given x sub 1 and y sub 1 , and m ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | for this reason , the slope is $ \maroonc { 2 } $ . challenge problem | so you can make up the equasion for random lines on a graph as long as they go along with and make sence in the context of the problem ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | for example , the line $ y=\maroonc { 2 } x\greene { +1 } $ has a slope of $ \maroonc { 2 } $ and a $ y $ -intercept at $ ( 0 , \greene { 1 } ) $ : the fact that this form gives the slope and the $ y $ -intercept is the reason why it is called slope-intercept in the first place ! check your understanding reflection que... | why does the last question mark 10x-20 wrong but then it says in the i need help thing the answer is 10x-20 ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . | how do we know if the equation should be added or subtracted ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | $ \text { slope } =\dfrac { \text { change in } y } { 1 } =\text { change in } y $ now let 's look at what happens to the $ y $ -values in the equation $ y=\maroonc { 2 } x+\greene { 1 } $ as the $ x $ -values constantly increase by $ 1 $ unit . $ x $ | $ \ , $ | $ y $ | | : - : | : - : | : - | : - $ 0 $ | | $ \greene ... | what would be the equation of a vertical line that passes through the point ( -2,5 ) ? |
what you should be familiar with before taking this lesson you should know what two-variable linear equations are . specifically , you should know that the graph of such equations is a line . if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following propertie... | if this is new to you , check out our intro to two-variable equations . you should also be familiar with the following properties of linear equations : $ y $ -intercept and $ x $ -intercept and slope . what you will learn in this lesson what is the slope-intercept form of two-variable linear equations how to find the s... | why do you have to add or subtract the y intercept , though ? |
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