Given trapezoids qrst and wxyz, which statement explains a way to determine if the two figures are similar?
a. verify corresponding pairs of sides are congruent by translation.
b. verify corresponding pairs of angles are proportional by translation.
c. verify corresponding pairs of sides are proportional by dilation.
d. verify corresponding pairs of angles are congruent by dilation.

the answer is C, all sides must be proportional to a specific factor, or the dilation

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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