Write and solve an equation to find the number. The perimeter of a patio is 64 feet. The length (L) is 10 feet longer than the width (W). What is the width of the patio?

9514 1404 393

  11 feet

Step-by-step explanation:

Let L and W represent the length and width of the patio. Then ...

  L = W + 10

  P = 2(L + W)

Substituting for the known values, we have ...

  64 = 2((W +10) +W)

  64 = 4W +20 . . . . simplify

  44 = 4W . . . . . . . . subtract 20

  11 = W . . . . . . . . . . divide by 4

The width of the patio is 11 feet.

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

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!