What is the area of this trapezoid?

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88 units²

To find the area of a shape made up of other shapes, we need to find the area of each object that makes it up (rectangle and 2 triangles in this case) and add them up.

However, in this case we can make it easier by moving the left triangle to the right triangle to form a smaller rectangle with the 2 triangles which would form the trapezoid into a large rectangle.

The formula for a rectangle is length × width.

The length of the formed rectangle is 17 (rectangle length) + 5 (triangle length) which is 22.

The width is 4 which stays the same.

22×4=88

Area = 88 units²

1 3 5

step-by-step explanation:

i took the test: )

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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