Greg has a 15 foot ladder. He needed to clean his gutters which are 12 feet high from the ground. How far away does Greg need to place the ladder from the base of the house to reach the gutters

Base = 81 feet

Step-by-step explanation:

Given that,

Length of the ladder = 15 foot

Greg needed to clean his gutters which are 12 feet high from the ground.

We need to find how far away does Greg need to place the ladder from the base of the house to reach the gutters. Let it is b.

Here, hypotenuse = 15 feet, height = 12 feet and base = b

We can use Pythagoras theorem to find b.

So, the ladder should be placed at a distance of 81 feet from the base of the house to reach the gutters.

.25

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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