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You have to look at the where the angle is located and what sides of the triangle relative to the angle you are given. The hypotenuse is always the longest line of the triangle, the opposite is always the...

To solve the equations the first step to take is to eliminate one of the variables x or y so we can get the value of it and then substitute it back in to get the value of the other.
One way to do thi...

a) It is useful to rewrite the equation using power rules, so we get y = 2x³ + 3x^-2Now we can simply use the differentiation rules where we multiply the coefficient (number before x)...

Rearrange x - 3y = 9 to make x the subject by adding 3y to both sides of the equation, giving x = 9 + 3y. Substitute the value of "x" in the second equation for "9 + 3y", giving: 5(9 ...

First you interpret the given information and create an equation based on the question. x(x-2)<15. Then you express that equation in standard quadratic form: x^2-2x-15<0. Then you have to not forget...