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so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | we also know , because this is a rhombus , and we proved this in the last video , that the diagonals , not only do they bisect each other , but they are also perpendicular . so we know that this is a right angle , this is a right angle , that is a right angle , and then this is a right angle . so the easiest way to thi... | in a rhombus , are the angles always right angles ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | and so we can say that the area -- so because of that , we know that the area of abcd is just going to be equal to 2 times the area of , we could pick either one of these . we could say 2 times the area of abc . because area of abcd -- actually let me write it this way . the area of abcd is equal to the area of adc plu... | what is the area of the rhombus ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | so 2 times the area of abc , area of abc is that right over there . so 1/2 times 1/2 is 1/4 times ac times bd . and then you see where this is going . | rhombuses also have equal sides like square.but why do we use the method of 1/2*product of diagonal , except using side square ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | so 2 times the area of abc , area of abc is that right over there . so 1/2 times 1/2 is 1/4 times ac times bd . and then you see where this is going . | if we take 1/2 as common in 1/2.ac.1/2.bd then we will get 1/2 [ ac.bc ] when we will multiply it by 2 in next step 2 and 1/2 will get cancel and we will get ac.bc ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | now what is the area of abc ? well area of a triangle is just 1/2 base times height . so area of abc is just equal to 1/2 times the base of that triangle times its height , which is equal to 1/2 . | can you find out a rhombus 's area through height x base since it is a parallelogram ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | so 2 times the area of abc , area of abc is that right over there . so 1/2 times 1/2 is 1/4 times ac times bd . and then you see where this is going . | at the end of the video , when sal does 2 ( 1/4 * ac * bd ) , should n't that come out to be 1/2 * 2ac * 2bd ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | so 2 times the area of abc , area of abc is that right over there . so 1/2 times 1/2 is 1/4 times ac times bd . and then you see where this is going . | here sal said 1/2 ac.bd is the formula so ac is diagonal1 and bd is diagonal2 right ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | so let 's see what we can do over here . so there 's a bunch of things we know about rhombi and all rhombi are parallelograms , so there 's tons of things that we know about parallelograms . first of all , if it 's a rhombus , we know that all of the sides are congruent . | if all rhombi are parallelograms , then ca n't we use the formula for the area of a parallelogram instead ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | so this is -- let me write it . this is equal to , so it 's equal to 1/2 times ac , that 's our base . and then our height is be , which we 're saying is the same thing as 1/2 times bd . | can diagnols of a rhombus be equal ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | this side is congruent to that side , and they both share a c right over here . so this is by side-side-side . and so we can say that the area -- so because of that , we know that the area of abcd is just going to be equal to 2 times the area of , we could pick either one of these . | how do we find side of a rhombus ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | and then you see where this is going . 2 times 1/4 fourth is 1/2 times ac times bd . fairly straightforward , which is a neat result . | why did n't sal distribute the 2 to ac and bd ? |
so quadrilateral abcd , they 're telling us it is a rhombus , and what we need to do , we need to prove that the area of this rhombus is equal to 1/2 times ac times bd . so we 're essentially proving that the area of a rhombus is 1/2 times the product of the lengths of its diagonals . so let 's see what we can do over ... | what is the length of the base ? well the length of the base is ac . so it 's 1/2 -- i 'll color code it . | does the theorem work for squares as well ? |
hello everyone . so i have here the graph of a two-variable function and i 'd like to talk about how you can interpret the partial derivative of that function . so specifically , the function that you 're looking at is f of x , y is equal to x squared times y plus sine of y . and the question is , if i take the partia... | so specifically , the function that you 're looking at is f of x , y is equal to x squared times y plus sine of y . and the question is , if i take the partial derivative of this function , so maybe i 'm looking at the partial derivative of f with respect to x , and let 's say i want to do this at negative one , one so... | and although the derivative equals a negative number ( -2 ) the point was in the positive z axis and at the same point the y partial derivative gives a totally different value 1.9 then how did we draw this 3d graph ? |
hello everyone . so i have here the graph of a two-variable function and i 'd like to talk about how you can interpret the partial derivative of that function . so specifically , the function that you 're looking at is f of x , y is equal to x squared times y plus sine of y . and the question is , if i take the partia... | and if we actually want to evaluate this at our point negative one , one what we 'd get is negative one squared plus cosine of one . and i 'm not sure what the cosine of one is but it 's something a little bit positive , and the ultimate result that we see here is going to be one plus something , i do n't know what it ... | does anyone know what this symbol means ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 1 : absolutely . speaker 2 : and we know it . there 's no doubt about it . | yes , hello there my question is to anyone that would know what was the name of the artist that sculpted the gods ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . | where did all the damage come from ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | there 's still this kind of balance . speaker 2 : he 's a god . speaker 1 : absolutely . | was n't ares the god of war ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . | what was the process of carving these statues ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . | where they carved and then raised or was the marble placed and then phidias carved them in place ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . | i wonder who made the statues ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | and how filled with movement . speaker 1 : even though we do n't have any heads except for the one male reclining nude , which is severely damaged , and is thought to probably be dionysus . even without the heads , even without the hands , which are often the most expressive part of a body , and despite the fact that t... | why do the statues have no hands or heads ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . | what are greek statues doing at the british museum , it 's time to give back things where they belong ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 2 : created in the fifth century bc , which was the classical period of ancient greece . the period when athens is a democracy , the golden age , and the parthenon was its most important monument . speaker 1 : it was a treasury , in fact , for the new confederations in greece itself . | how accurate is the parthenon replica in nashville ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | and how filled with movement . speaker 1 : even though we do n't have any heads except for the one male reclining nude , which is severely damaged , and is thought to probably be dionysus . even without the heads , even without the hands , which are often the most expressive part of a body , and despite the fact that t... | i thought aphrodite was motherless and rose out of the sea ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . | where the statues removed from their original place on the building by humans or did they fall off ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 1 : if it was nude . speaker 2 : it 's important to remember , i think , something that we often forget because we think about sculptures as white , which is these all would have been painted in very bright colors . which seems very strange and almost garish to us today . | has anyone made a computer simulation of the parthenon that shows what it might have looked like with all the figures and decorations painted in bright colors rather than the bland white that we are accustomed to seeing ? |
speaker 1 : we 're in the british museum , and we 're looking at some of the most famous sculptures from all of history . in fact , perhaps the most famous sculptures . this is the pediment sculptures from the east end of the parthenon on the acropolis in athens . speaker 2 : created in the fifth century bc , which wa... | speaker 2 : created in the fifth century bc , which was the classical period of ancient greece . the period when athens is a democracy , the golden age , and the parthenon was its most important monument . speaker 1 : it was a treasury , in fact , for the new confederations in greece itself . | does parthenon have a connection with the pantheon in paris ? |
- so this , this picture right over here , we 've taken this square , we 've divided it into 100 equal , smaller squares , and then we 've colored in , let 's see how many we 've colored in . each of these rows has 10 squares , so this is , 10 , 20 , 30 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 . so over here , we have c... | and i 'll just write star . plus star over 100 . and my question to you is , what is the star going to be equal to ? | so , what you 're saying is , that if you just put 79/100 , do you have to put a 70 and a 9 , or just put 7 and 9 ? |
- so this , this picture right over here , we 've taken this square , we 've divided it into 100 equal , smaller squares , and then we 've colored in , let 's see how many we 've colored in . each of these rows has 10 squares , so this is , 10 , 20 , 30 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 . so over here , we have c... | and my question to you is , what is the star going to be equal to ? the star is equal to what ? and pause the video to try to figure it out . | is 25/50 equal to 25000/50000 ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | or another way of thinking about this , sometimes people say cross multiply and all that , i like to just do logical algebraic operations . but we can take the reciprocal of both sides . so we could have , and actually , let me swap both sides , so we could say a over two is equal to 14 over nine . | 4 , why does sal take the reciprocals and swap both sides instead of just cross multiplying ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | now let me write the second line in slope intercept form . so i have two x minus ay , is equal to negative six . and let 's see , if i subtract two from both sides , i get negative ay is equal to negative two x , i 'm subtracting two x from both sides , minus two x , minus six , and then i can divide both sides by nega... | what is the intuition behind both slopes needing to equal each other ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | see , if i subtract nine x from both sides , i would get negative 14 y is equal to negative nine x minus three . see , if i divide both sides by negative 14 , i 'm going to get y is equal to negative nine divided by negative 14 is positive nine over 14 x , and then plus three over 14 . so that 's this line , written in... | why does ( 9/14 ) need to be equal to ( 2/14 ) ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | or another way of thinking about this , sometimes people say cross multiply and all that , i like to just do logical algebraic operations . but we can take the reciprocal of both sides . so we could have , and actually , let me swap both sides , so we could say a over two is equal to 14 over nine . | why do i have to take the sat ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | see , if i subtract nine x from both sides , i would get negative 14 y is equal to negative nine x minus three . see , if i divide both sides by negative 14 , i 'm going to get y is equal to negative nine divided by negative 14 is positive nine over 14 x , and then plus three over 14 . so that 's this line , written in... | why would you divide the -9x by the -14 ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | see , if i subtract nine x from both sides , i would get negative 14 y is equal to negative nine x minus three . see , if i divide both sides by negative 14 , i 'm going to get y is equal to negative nine divided by negative 14 is positive nine over 14 x , and then plus three over 14 . so that 's this line , written in... | when you divide is n't the number with the variable always in the denominator ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | see , if i subtract nine x from both sides , i would get negative 14 y is equal to negative nine x minus three . see , if i divide both sides by negative 14 , i 'm going to get y is equal to negative nine divided by negative 14 is positive nine over 14 x , and then plus three over 14 . so that 's this line , written in... | would n't you divide the -14 once ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | and then when we 're able to figure out that a , we have to verify that they have different y intercepts because if they have the same slope and the same y intercept , instead of having no solutions , they would have an infinite number of solutions because then it would be the same line . but let 's solve for a , so we... | how do you know when to divide it twice ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are parallel . then , you have no solutions . they are never going to intersect , there 's no x , y pair that satisfies both of them . | is n't infinite solutions different from no solution ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | why were the fractions reciprocated ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | so what makes two lines parallel ? well , if they have the same slope , but they have different y intercepts , you 're going to be parallel . so essentially we need to pick the a here that makes the second line parallel to the first . | what if the y intercepts were the same ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | so first i 'll do this one up here , so you have nine x minus 14 y is equal to negative three . see , if i subtract nine x from both sides , i would get negative 14 y is equal to negative nine x minus three . see , if i divide both sides by negative 14 , i 'm going to get y is equal to negative nine divided by negative... | how is 9x negative when the equation is flipped ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | see , if i subtract nine x from both sides , i would get negative 14 y is equal to negative nine x minus three . see , if i divide both sides by negative 14 , i 'm going to get y is equal to negative nine divided by negative 14 is positive nine over 14 x , and then plus three over 14 . so that 's this line , written in... | how is 9/14 = 2/a ? |
consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | consider the system of linear equations above , which of the following choices of a , will result in a system of equations with no solutions ? so a system has no solutions , is if both lines , and these are both linear equations , they actually tell us these are linear equations , is if you have two lines that are par... | sal gets rid of the a in the blue font by substracting ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | then they decide what 's the purpose of this constitution ? first of all , establish justice . that means there 'll be one common set of laws . | what was the first form of our national government ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 2 : well , yes . by the time you 're getting into 1786 , it is totally clear that this document is n't working . you have all sorts of disputes . | did british hate americans at that time ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | it sounds like the debates we 're having today . male 1 : exactly ! ( chuckles ) male 2 : we still , as a nation , have always had these debates of how much power should be given to the central government , how much power should retain with the states , whether it 's on healthcare or our laws or our taxation . | who exactly thought up the idea of the articles of confederation ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 2 : well , yes . by the time you 're getting into 1786 , it is totally clear that this document is n't working . you have all sorts of disputes . | why did n't the british take advantage of the situation and invade in 1786 ( ) , instead of 1812 ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | we have to really hold together . then they decide what 's the purpose of this constitution ? first of all , establish justice . | why south africa constitution konw as the best constituttion of the world ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | it sounds like the debates we 're having today . male 1 : exactly ! ( chuckles ) male 2 : we still , as a nation , have always had these debates of how much power should be given to the central government , how much power should retain with the states , whether it 's on healthcare or our laws or our taxation . | what exactly was the role of the federal government when the articles of confederation were in effect ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 2 : it 's a very difficult problem of the big states wanting there to be proportional representation in a new congress , the small states wanting equal votes per state . you finally have ben franklin again , once again being the person who works out the compromise to have both a house and a senate , equal votes pe... | can anyone clarify what benjamin franklin 's contributed to the study of electricity besides that lightning is electricity ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | that 's a very good analogy to what was happening because they were n't quite clear whether they had a central currency or not back then . they were n't quite sure what are the powers of each of the states versus the central government , and that 's been something throughout history . even starting with the greek city-... | why is franklin remembered as the father of electricity , and tesla forgotten about in most history books ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . | why black inventors are not published in american textbooks ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | so the poor people of massachusetts have to try to raise a militia to try to stop shays ' rebellion , but they ca n't get the federal government to step in . it was just one of many , many symptoms that we were all disintegrating and falling apart . there was no rule of law that governed all the colonies , and now all ... | how many kings are there in the whole world ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | he leads a rebellion and there 's no central government to send a force to stop them . washington 's army has been disbanded . so the poor people of massachusetts have to try to raise a militia to try to stop shays ' rebellion , but they ca n't get the federal government to step in . | what caused washington to attend the convention to rewrite the articles ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | ensure domestic tranquility . this is shay 's rebellion . it 's still going on when they start writing this preamble . | how was shay 's rebellion important to the articles of confederation ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | most of the states agreed to come . some of them worried about the fact that we were writing a whole new constitution , so they did not give their delegates authority to get rid of the articles of confederation . so when they began in that very hot summer of 1787 , it was kind of unclear whether they were going to be a... | what are all the articles of the constitution ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | it 's not coming from the divine right of kings or god , we the people get to ordain and establish this constitution . male 1 : we 've made previous videos about the declaration of independence . the articles of confederation in no way share any of the spirit or the poetry of the declaration , while this preamble does ... | was the declaration of independence just to let the british know that the thirteen colonys were suffering ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | it 's sort of rules by which the states are going to get together and govern themselves . but it does n't really create a new nation . it 's really just a federation of the separate states . | when alexander hamilton and james madison were part of the constitutional convention , was their goal to create a new government , or to fix the existing one ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | that 's a very transcendent phrase , but it also means , hey , the articles of confederation , we were n't really unified . we have to create a united states . we have to create a union . male 1 : and the `` more perfect , '' is that a direct reference to the articles that that was a less perfect , or is this something... | why is it important that the powers of government be separated but also overlap to create a system of checks and balances ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | we have to really hold together . then they decide what 's the purpose of this constitution ? first of all , establish justice . | what were the issues of adopting the constitution ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | that 's a very good analogy to what was happening because they were n't quite clear whether they had a central currency or not back then . they were n't quite sure what are the powers of each of the states versus the central government , and that 's been something throughout history . even starting with the greek city-... | how successful were confederacies through out history ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | that 's as opposed to `` to whom it may concern . '' male 2 : just look at those first three words . i mean those first three words are totally an inspiring thing . | why are the yellow words over the letter ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | they did n't really think of themselves as one new nation . some people did . ben franklin and others thought we should really be a union of one nation , but when they get together to do the articles of confederation , really starting right after the declaration is signed in 1776 , they finish writing it in 1777 , they... | when were the irish people slaves ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | so really it 's up to the states to tax , and then this congress that 's meeting , based on the articles of confederation , tries to beg each one of the states , hey , requisition us a little bit of money so we can continue our business . male 1 : the federal , the central government , does not directly , there 's no f... | what is the difference between unitary governments , federal governments , and confederacies ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | then they decide what 's the purpose of this constitution ? first of all , establish justice . that means there 'll be one common set of laws . | who first came up with the idea of a republic ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | a lot of states still liked their autonomy , liked their independence . so even going into this , it was n't like everyone was unanimously saying hey , we need to give the federal government more power . male 2 : and by the way , what does that sound like ? | how did sectional differences show the fight for power between federal and state governments ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 2 : it 's not a very good piece of grammar . as you know , things are either perfect or they 're not . the notion of creating a more perfect union , yes , they are making a nod to the fact that we have been confederated under the articles of confederation , but now we have to create a more perfect union . | does anyone know what a coast beast is ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | what they were during this war of independence were 13 separate states . they did n't really think of themselves as one new nation . some people did . | why did really any one know why people were being rebel 's ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | first of all , establish justice . that means there 'll be one common set of laws . ensure domestic tranquility . | what is a good form means ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . | how was the 19th amendment passed ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | only five of them come . you have something up in massachusetts called shays ' rebellion where there was this rebellion of the poor farmers in western massachusetts under a former revolutionary war officer named daniel shays . it 's sort of unclear what ... | how did shays ' rebellion get resolved ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 2 : right . what they were during this war of independence were 13 separate states . they did n't really think of themselves as one new nation . | how many slave states were there at the time of civil war ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 2 : yeah , let 's read it . `` we the people `` of the united states , in order to form a more `` perfect union . '' that 's a very transcendent phrase , but it also means , hey , the articles of confederation , we were n't really unified . | in the preamble , why are the words people , order , union , justice , tranquility , welfare , blessings , liberty , posterity , and constitution capitalized ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | they did n't really think of themselves as one new nation . some people did . ben franklin and others thought we should really be a union of one nation , but when they get together to do the articles of confederation , really starting right after the declaration is signed in 1776 , they finish writing it in 1777 , they... | i need people to vote up this but here 's my question : who 2 people checked the declaration of independence for mistakes after the constitution was writen by george washington ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | ensure domestic tranquility . this is shay 's rebellion . it 's still going on when they start writing this preamble . | so how did the shay rebellion progress and how was it quelled ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | it 's not coming from the divine right of kings or god , we the people get to ordain and establish this constitution . male 1 : we 've made previous videos about the declaration of independence . the articles of confederation in no way share any of the spirit or the poetry of the declaration , while this preamble does ... | what is the difference between how federal laws are made and how are the amendments made to the constitution ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | then you get , you 're fighting the war , it 's really not until 1781 that we win the war . around that period , between 1776 and 1781 , they 've drafted this thing called the articles of confederation . it 's sort of rules by which the states are going to get together and govern themselves . | where were the articles of confederation written ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | ensure domestic tranquility . this is shay 's rebellion . it 's still going on when they start writing this preamble . | why did n't the delagates fix the problem before it escalates into shay 's rebellion ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | then you get , you 're fighting the war , it 's really not until 1781 that we win the war . around that period , between 1776 and 1781 , they 've drafted this thing called the articles of confederation . it 's sort of rules by which the states are going to get together and govern themselves . | what were more of the weaknesses of the articles of confederation ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | they `` affix our names '' to this and it 's the articles of confederation and perpetual union between these states . one of the main things they fail to do is give the central government any taxation power . so really it 's up to the states to tax , and then this congress that 's meeting , based on the articles of con... | what were the main concerns of the philosophers of enlightenment ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . | which of john locke 's ideas influenced the american and french revolutions ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | so the poor people of massachusetts have to try to raise a militia to try to stop shays ' rebellion , but they ca n't get the federal government to step in . it was just one of many , many symptoms that we were all disintegrating and falling apart . there was no rule of law that governed all the colonies , and now all ... | how many pages does the us constitution has ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | they call an annapolis convention to try to fix that up and they try to get the states to come . only five of them come . you have something up in massachusetts called shays ' rebellion where there was this rebellion of the poor farmers in western massachusetts under a former revolutionary war officer named daniel shay... | when did the constitution come together as a law ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | we have to really hold together . then they decide what 's the purpose of this constitution ? first of all , establish justice . | and why did the constitution have to wait thirteen years after the revolution ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . | what happen in the thirteen year 's gap ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | we ought to go back to philadelphia where this all began in 1776 with the declaration of independence and we should have a constitutional convention . we should write a whole new constitution to govern centrally this new nation . most of the states agreed to come . | while the 13 colonies are trying to find a way to govern themselves , what is king george iii doing about the whole situation ? |
male 1 : the whole period of the american revolution and the establishment of the country , of the government , can get very muddled in people 's minds . what i was hoping we could cover in this video is unmuddle that , separate out the events and see how they all fit together . male 2 : let 's start in 1775 because th... | then you get , you 're fighting the war , it 's really not until 1781 that we win the war . around that period , between 1776 and 1781 , they 've drafted this thing called the articles of confederation . it 's sort of rules by which the states are going to get together and govern themselves . | why would you continue the fallacy statements about the articles of confederation being `` poorly written '' and `` messy governance '' when we still operate under the articles of confederation today ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | subtract 1 from both sides . a is equal to negative 1 . or a minus 1 is equal to 0 . | does the `` not equal part '' only occur for the denominator ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | now that we 've done that , we can factor it . we have an a plus 2 over an a plus 2 . we know that a is not going to be equal to negative 2 , so that 's always going to be defined . | i wonder , how come 'a ' can be a positive 2 ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | so all i did is i rearranged the numerator and the denominator , so if there was something that was of a similar -- if the same expression was in both , i just wrote them on top of each other , essentially . now , before we simplify , this is a good time to think about the domain or think about the a values that are n'... | so how do we deal with the fact that different values of `` a '' can be undefined for different forms of an expression ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | it 's going to be defined . but in order for this expression to really be the same as this expression up here , it has to have the same constraints . it has to have the same domain . | - at the end of simplifying , have we created a new expression ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | a is equal to negative 1 . or a minus 1 is equal to 0 . add one to both sides , and you get a is equal to 1 . | but would n't 'a ' = -2 and 'a ' = -1 result in 0/0 and hence be defined ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | then in the denominator , we can factor a squared minus 1 -- let me do that in a different color . a squared minus 1 we can factor as a plus 1 times a minus 1 . if you ever want to say , hey , why does this work ? | so it 's only undefined when 'a'= 1 ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | we can factor this a squared minus 4 and we can also factor this a squared minus 1 , and that 'll help us actually simplify the expression or simplify the rational . this top part , we can factor the a squared minus 4 as a plus 2 -- 2 squared is 4 -- times a minus 2 , and then that times a plus 1 . then in the denomina... | could n't a-2/a-1 be simplified to 2 ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | you could solve for i . you could say a plus 2 is equal to 0 , or a is equal to negative 2. a plus 1 is equal to 0 . subtract 1 from both sides . | is there a reason why a can equal 2 ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | we have an a plus 1 in the numerator . we also have an a plus 1 in denominator . in the numerator , we have an a minus 2 , and in the denominator , we have an a minus 1 . | do we find the zeros of the denominator only ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . | what is the domain exactly ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | all you 're going to be left with is an a minus 2 over a minus 1 . so the simplified rational is a minus 2 over a minus 1 with the constraint that a can not equal negative 2 , negative 1 , or 1 . you 're probably saying , sal , what 's wrong with it equaling , for example , negative 1 here ? | should n't the domain be limited to a= all real numbers except -1 , -2 , 1 , 2 ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | you could solve for i . you could say a plus 2 is equal to 0 , or a is equal to negative 2. a plus 1 is equal to 0 . subtract 1 from both sides . | how come a can equal 2 when ( a-2 ) is present ? |
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu... | multiply and express as a simplified rational . state the domain . | how do you answer expressions with 3 sets of numbers ? |
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