The perimeter of a rectangle is 64 cm. The length is 15 cm, how wide is rectangle?

17 cm

Step-by-step explanation:

Rectangle perimeter: length*2 + width*2

Substitute width with "x".

Length is given as 15 cm

Perimeter is given as 64 cm

Plug in the values and solve for x.

64 = 2*15 + 2x

64 = 30+2x

2x = 34

x = 17

so width is 17 cm

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

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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