△npq is similar to △rst
np=3 inches, pq=5 inches, and rs=10.5 inches.
what is st?
enter your answer as a decimal in the box.

17.5

Step-by-step explanation:

If the triangles are similar, then the corresponding sides exist in proportion to one another.  Side NP in the one triangle is corresponding and therefore, proportionate to side RS in the other triangle.  Side PQ is corresponding to side ST.  Set up a ratio (proportion) as follows (but this is not the only way):

and fill those in with the proper side lengths:

Cross multiply to get

3 ST = 52.5

and ST = 17.5

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! : )

cretdit to source