Composite shape has an area of 162 cm squared. what is the height of the trapezoid

The height of the trapezoid = 6 cm

Solution:

The composite figure is splitted into two shapes.

One is rectangle and the other is trapezoid.

Area of the rectangle = length × width

                                    = 12 cm × 8 cm

Area of the rectangle = 96 cm²

Area of the trapezoid =

Area of the trapezoid  = 11 h cm²

Area of the composite shape = 162 cm²

⇒ 96 + 11 h  = 162

Subtract 96 on both sides of the equation.

⇒ 11 h  = 162  – 96

⇒ 11 h  = 66

Divide by 11  on both sides of the equation.

⇒ h = 6 cm

The height of the trapezoid = 6 cm

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

2, 2, 2 or -4, 20, 29

step-by-step explanation:

there is two ways you can do it.