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https://www.yaclass.in/p/mathematics-state-board/class-9/algebra-3105/slope-and-intercept-of-a-line-5203/re-3de6cc34-28be-4697-9e9b-9b3d54972002
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### Theory: Let us draw the graph of the equation using the coordinates of $$x$$ and $$y$$-intercepts. The graph can be obtained by plotting the $$x$$ and $$y$$-intercepts and then drawing a line joining these points. Example: Draw the graph of the equation $$4y-3x = 6$$ using the $$x$$ and $$y$$-intercepts. Solutio...
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## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition) $(a^3-b^4c^5)(a^6+a^3b^4c^5+b^8c^{10})$ Using $a^3+b^3=(a+b)(a^2-ab+b^2)$ or the factoring of 2 cubes, the factored form of the given expression, $a^{9}+b^{12}c^{15} ,$ is \begin{array}{l} (a^3-b^4c^5)[ (a^3)^2-(a^3)(-b^4c^5)+(-b^4c^5)^2] \\...
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# Sine Function sin x ## Definition and Graph of the Sine Function We first consider angle ? with initial side on the positive x axis (in standard position) and terminal side OM as shown below. The sine function is defined as $\sin(\theta) = \dfrac{y}{r}$ where $r \$ is the distance from the origin O to any point M ...
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Math for Future Value of Growing Annuity Am I working this out correctly? I need to verify that my code is correct... $$1000 \cdot \left(\frac{(1 + 0.1 / 12)^{40 * 12} - (1 + 0.06 / 12)^{40 * 12}}{(0.1 / 12) - (0.06 / 12)}\right)$$ Something like this: 53.700663174244 - 10.957453671655 ( = 42.7432095026 ) / 0.00833...
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## Algebra 1: Common Core (15th Edition) $(d-15)(d-3)$ To factor a trinomial in the form $d^2+bd+c$, we must find two numbers whose product is $c$ and whose sum is $b$. We then insert these two numbers into the blanks of the factors $(d+\_)(d+\_)$. In the case of $d^2-18d+45$, we are looking for two numbers whose prod...
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1. ## havent a clue! havent a clue! 6x2+x-15=0 2. Originally Posted by jenko havent a clue! 6x2+x-15=0 Let's try this using the method I posted in your other thread. Mulitply 6 and -15: -90 Now list all pairs of factors of -90: 1, -90 2, -45 3, -30 6, -15 9, -10 10, -9 15, -6 30, -3 45, -2 90, -1 Now which of th...
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If c and d are positive, is d an integer ? : GMAT Data Sufficiency (DS) Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 19 Jan 2017, 22:01 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performa...
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Simultaneous equations can be thought of as being two equations in two unknowns, say x and y. Note that the word simultaneous means ‘at the same time’. It follows that for the values of x and y found both equations must be true at the same time. Sometimes it is easy to inspect the equations and guess the answers. Howev...
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# A few complex number problems • Jan 3rd 2012, 08:19 AM Lemons123 A few complex number problems I have attempted to solve it but arrive at either no solution or a solution much different from the textbook's. 1. If w = $\displaystyle \frac{z + 1}{z - 1}$ and |z| = 1, find Re(w). I plugged in a + bi for z and attempt...
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# Parabolas math problem 1. Mar 29, 2005 ### vitaly I'm having difficulty with this question. All help is appreciated. *The cross section of television antenna dish is a parabola and the receiver is located at the focus. A. If the receiver is located 5 feet above the vertex, assume the vertex is the origin, find a...
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# Thread: test average 1. ## test average You have an 85% average in math after 2 tests. If you score a 40% on this test, what will your new average be? 2. Originally Posted by DINOCALC09 You have an 85% average in math after 2 tests. If you score a 40% on this test, what will your new average be? lets count by poin...
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# 6.06 Sales tax and tip Lesson Two ways that percentages are commonly used in the U.S. are when calculating the amount of sales tax we will need to pay for purchasing an item and when calculating the proper tip to leave the waitstaff at a restaurant.  Interestingly, we will find that in different parts of the United...
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### Smart Word Wrap Recursion? Oh, we all love it! This post will try to illustrate how useful the recursion is and how complicated it can get sometimes. We, programmers, use recursion frequently to create small and elegant programs which can do complicated things. Just think about how would you split the following ...
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# Painting a Wall Alignments to Content Standards: 5.NF.B Nicolas is helping to paint a wall at a park near his house as part of a community service project. He had painted half of the wall yellow when the park director walked by and said, This wall is supposed to be painted red. Nicolas immediately started paintin...
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# Plot The land is in the shape of a square with a dimension of 22 meters. How much will we pay for the fence around the entire plot? Result x =  1760 Eur #### Solution: $a = 22 \ m \ \\ o = 4 \cdot \ a = 4 \cdot \ 22 = 88 \ m \ \\ \ \\ x = 20 \cdot \ o = 20 \cdot \ 88 = 1760 = 1760 \ \text{ Eur }$ Our examples w...
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A = {1, 2, 3, 5} and B = {4, 6, 9}. Question: $A=\{1,2,3,5\}$ and $B=\{4,6,9\}$. Define a relation $R$ from $A$ to $B$ by $R=\{(x, y)$ : the difference between $x$ and $y$ is odd; $x \in A, y \in B\}$. Write $R$ in roster form. Solution: $A=\{1,2,3,5\}$ and $B=\{4,6,9\}$ $\mathrm{R}=\{(x, y):$ the difference betwe...
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# 1984 AIME Problems/Problem 15 (diff) ← Older revision | Latest revision (diff) | Newer revision → (diff) ## Problem Determine $x^2+y^2+z^2+w^2$ if $\frac{x^2}{2^2-1}+\frac{y^2}{2^2-3^2}+\frac{z^2}{2^2-5^2}+\frac{w^2}{2^2-7^2}=1$ $\frac{x^2}{4^2-1}+\frac{y^2}{4^2-3^2}+\frac{z^2}{4^2-5^2}+\frac{w^2}{4^2-7^2}=1$ $\f...
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# Search by Topic #### Resources tagged with Factors and multiples similar to Zeller's Birthday: Filter by: Content type: Stage: Challenge level: ### There are 93 results Broad Topics > Numbers and the Number System > Factors and multiples ### Substitution Transposed ##### Stage: 3 and 4 Challenge Level: Substit...
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# Difference between revisions of "2009 AMC 8 Problems/Problem 18" The diagram represents a $7$-foot-by-$7$-foot floor that is tiled with $1$-square-foot black tiles and white tiles. Notice that the corners have white tiles. If a $15$-foot-by-$15$-foot floor is to be tiled in the same manner, how many white tiles will...
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# Thread: epsilon delta proof for 2 variable limit 1. ## epsilon delta proof for 2 variable limit Hey I need to show that the limit(x,y)->(0,0) of xy / sqrt(x^2 + y^2) = 0. I'm not sure how to start manipulating this as I haven't gotten anything useful yet. Some help to get me going would be nice. Thanks 2. ## Re: e...
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# Thread: calculus word problem, help plz? 1. ## calculus word problem, help plz? AP Calculus help anyone? 1.Use the position function s(t) = -16(t)^2 + vo(t) + so for free- falling objects. Question - A ball is thrown straight down from the top of a 220-foot building with an initial velocity of -22 feet per second....
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# Points Formulas Points Formulas play a crucial role in understanding the concept. Memorize the Points Formula by heart and solve basic and advanced problems too easily. We have compiled a good collection of all the Important Formulae for Points to help you understand the concept better. Apply the Formulas in your ca...
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Physics in a nutshell $\renewcommand{\D}[2][]{\,\text{d}^{#1} {#2}}$ $\DeclareMathOperator{\Tr}{Tr}$ # Classification of Differential Equations A differential equation is an equation that contains an unknown function and at least one of its derivatives. ## Order of the Differential Equation The order of the differ...
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1. ## find inverse function $f(x) = 5(x-2)^3 - 6$ Could someone help me find the inverse function for this function? I understand these steps: Set f(x) to y $y = 5(x-2)^3 - 6$ Swap x and y $x = 5(y-2)^3 - 6$ I think I'm supposed to solve for Y, but I'm not sure how to continue. 2. Originally Posted by absvalue $...
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# 2003 AMC 10B Problems/Problem 4 The following problem is from both the 2003 AMC 12B #3 and 2003 AMC 10B #4, so both problems redirect to this page. ## Problem Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions i...
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# Break a stick in two random points, can you then build a triangle? Here is an interesting problem that involves probability. Can you guess the answer? Consider a stick of length 1. Select two points uniformly at random on the stick and break the stick at those points. What is the probability that the three segments...
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# Related Rate Problems II If you look in most textbooks for related rate questions you will find pretty much the same related rate problems: ladders sliding down walls, people walking away from lamppost, water running into or out of cone shaped tanks, etc. Here are two somewhat different related problems you may lik...
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### Theory: Imagine a block is placed on the table as shown in the below image. Two strings $$X$$ and $$Y$$ are tied to the two opposite surfaces of the block, as shown. If we apply a force on the block by pulling the string $$X$$, it begins to move towards the right. Similarly, if we pull the string along $$Y$$, the ...
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# Thread: What is this? 1. ## What is this? A friend of mine gave this to me as a challenge. I almost have no clue what I'm supposed to do he says "Solve for the following equation for f(x)" $\displaystyle f(x) = x + \lambda \int_0^1 f(\xi) \,\,d \xi$ can anyone tell me what type of problem this is so I can do a b...
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Question 16 # From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is Solution The lengths are given as 40, 25 and 35. The perimeter = 100 Semi-perimeter, s = 50 Area = $$\...
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# Theorem on Giuga number Giuga number : $n$ is a Giuga number $\iff$ For every prime factor $p$ of $n$ , $p | (\frac{n}{p}-1)$ How to prove the following theorem on Giuga numbers $n$ is a giuga number $\iff$ $\sum_{i=1}^{n-1} i^{\phi(n)} \equiv -1 \mod {n}$ ## 1 Answer The $\Rightarrow$ part. For first, a giuga n...
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# 1st PUC Maths Question Bank Chapter 15 Statistics Students can Download Maths Chapter 15 Statistics Questions and Answers, Notes Pdf, 1st PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. ## Karnataka 1st PUC Maths Questio...
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# Which term of the sequence { 16/9, 4/3, 1, 3/4 ... } is 243/1024? Dec 26, 2015 The $8$th #### Explanation: This is a geometric sequence with initial term $\frac{16}{9}$ and common ratio $\frac{3}{4}$. The general term of the sequence can be written: ${a}_{n} = \frac{16}{9} \cdot {\left(\frac{3}{4}\right)}^{n - ...
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## 4meisu 2 years ago t = 2π √l/g Re-arrange to make g the subject. 1. zepdrix $\large t=2\pi \frac{\sqrt \ell}{g}$Is that formatted correctly? With the way it's written, it's a little hard to tell whether or not you have the g placed in the square root. 2. zepdrix If this is correct, here are the steps we would ta...
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# help on a probability problem • Feb 7th 2010, 09:19 AM ilc help on a probability problem Two cards are drawn from a deck of 52 plating cards. find the probability of each of the following events occurring: a) both cards are clubs b) both cards are red c) both cards are queens d) both cards are red queens e) both ca...
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# Ordinary Differential Equation¶ Marcos Duarte An ordinary differential equation (ODE) is an equation containing a function of one independent variable and its derivatives. Solve an ODE is finding such a function whose derivatives satisfy the equation. The order of an ODE refers to the order of the derivatives; e.g...
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# When an object is kept at a distance of 30 cm from a concave mirror, Question: When an object is kept at a distance of $30 \mathrm{~cm}$ from a concave mirror, the image is formed at a distance of $10 \mathrm{~cm}$ from the mirror. If the object is moved with a speed of $9 \mathrm{cms}^{-1}$, the speed (in $\mathrm...
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# Equation Of The Line? • Sep 11th 2011, 06:52 AM MathsFreakLove Equation Of The Line? hi im new on here, (Hi) i have two questions i am stuck on and would like your help : here are the qestions: 1.the line y=1/4 x +2 meets the y axis at the point B. the point C has co ordinates (-5,3). find the gradient of the lin...
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No description, website, or topics provided. Jupyter Notebook Python This branch is 2 commits behind learn-co-students:master. Fetching latest commit… Cannot retrieve the latest commit at this time. Type Name Latest commit message Commit time Failed to load latest commit information. .gitignore .learn 3dx3y.png CONTRIB...
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# What Is 17/37 as a Decimal + Solution With Free Steps The fraction 17/37 as a decimal is equal to 0.459. The division of two numbers is usually shown as p $\boldsymbol\div$ q, where p is the dividend and q is the divisor. This is mathematically equivalent to the numeral p/q, called a fraction. In fractions, thoug...
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# How to lower/upper bound $n!$ using $1+x\leq e^x$? I need to prove for all positive integer $n$ $$e\left(\frac{n}{e}\right)^n\leq n!\leq en\left(\frac{n}{e}\right)^n,$$ using the hint $1+x\leq e^x$ for all $x\in \mathbb{R}$. I did this: The hint says • for $x=0$, $1\leq 1$; • for $x=1$, $2\leq e$; • ... • for $x...
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# An aqueous solution of 3.47 M silver nitrate, AgNO_3, has a density of 1.47 g/mL. What is percent by mass of AgNO_3 in the solution? Nov 16, 2015 40.1% #### Explanation: Here's your strategy for this problem - you need to pick a sample volume of this solution, use the given density to find its mass, then the numb...
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