The length of a rectangular swimming pool is 10 feet longer than its width. if the perimeter of the pool is 100 feet, which of the following are the dimensions for the pool? a. length= 35 feet, width=25 feet b. length=30 feet, width= 20 feet c. length =35 feet, width =15 feet d. length= 25 feet, width=24 feet

Let the length of the pool = l

and width = w

length of a rectangular swimming pool is 10 feet longer than its width.

So , l=w+10

Perimeter of the rectangle = 100 feet

It means

2(l+w) = 100

So we have two equations

l=w+10 and 2(l+w) = 100 or l+w = 50

Plug l = w+10 into l+w =50

So we get

w+10+w= 50

Subtract 10 from both sides

2w= 40

divide both sides by 2

w=20

And l = w+10 = 20+10 = 30

So l= 30 and w= 20

So dimensions are

length of the rectangle = 30 feet

width of the rectangle = 20 feet

So Option B is correct.

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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