Plz help. Less than 10mins to finish this a few others.

RS = XY (since the two a triangles are similar, you have to match the sides up and then set the values equal to eachother to find the value of x)

3x +2 = 5x -3 (subtract 5x from both sides)

-2x +2 = -3 (subtract 2 from both sides)

-2x = -5 (divide both sides by -2 to isolate x)

x = 2.5 (take the value of x and plug it into the expression given for RS)

3(2.5) +2 (multiply)

7.5 +2 (add)

9.5 (this is the length of RS)

Step-by-step explanation:

I hope this helps :)

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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