Category: Algebra

What is the point of tangency – no calculus, please

Problem Two lines intersect the graph . The secant line intersects the graph at point A and B and the tangent line which is parallel to the secant, touches the graph at point E. You can read the coordinates of A and B from the graph but not E. What are the coordinates of E?…

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Algebraic Expressions Divisible by 3

Problem If a+2 is divisible by 3, which of the following expressions is/are also divisible by 3? A. 3+2a B. 5a-2 C. 8+7a D. 1+5a Solution When a number is divisible by 3 then it is a multiple of 3. So, if it is given that a+2 is divisible by 3 then a+2 is a…

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How to find the equation given the roots

Before I answer the question in the title, we need to do some revisions: This is what you do when you solve a quadratic equation like : Solution: => (x-5)(x+2)=0 => If x-5 = 0, then x = 5; if x+2 = 0, then x =-2. The solution is x=5 or x=-2. If you graph…

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Application of Distributive Property

What is the Distributive Property? The distributive property (aka distributive law) is a property of real numbers which says that the product of a number say a and the sum (or difference) of two numbers say b and c, is equal to the sum (or difference) of the product of a and b and a…

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