A pole that is 3.1 m tall casts a shadow that is 1.65 m long. At the same time, a nearby building casts a shadow that is 44.75 m long. How tall is the building? Round your answer to the nearest meter.

3.1m pole has 1.65m shadow

??? building casts 44.75 m shadow

3.1 / 1.65 = x / 44.75

x = 44.75 * 3.1 / 1.65

x = 138.725 / 1.65

building height = 84.076 meters

Step-by-step explanation:

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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