In morristown, the library is 3 kilometers south of the courthouse and 4 kilometers west of the community swimming pool. if a bird flew directly from the courthouse to the library, then from the library to the swimming pool, and then from the swimming pool back to the courthouse, what would be the total distance flown?

Using the Pythagorean theorem we can find the distance from the swimming pool to the courthouse:

Swimming pool to courthouse:

Distance = √(3^2 + 4^2)

Distance = √(9+16)

Distance = √25

Distance = 5 kilometers

Now total the distance the bird flew:

Courthouse to Library is given as 3 kilometers.

Library to swimming pool is given as 4 kilometers

Swimming pool to courthouse we calculated as 5 kilometers.

Total distance = 3 + 4 + 5 = 12 kilometers.

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

a

step-by-step explanation: