5. the circumference of a circle and the perimeter of a square are each 50 cm. which figure has the greater area?

The circle has a greater area

Step-by-step explanation:

First, we are going to calculate the area of the square.

We know that it's perimeter is 50 cm, so the side of the square is:

50/4 = 12.5 cm

The area of the square is:

A = s^2

A = 12.5^2 = 156.25 cm^2

Now with the circle.

The circumference lenght is: L = 2πr

The radius is: r = L/2π

r = 50 / 2*3.14

r = 7.96 cm, which I'll round this value to 8 cm.

To get the Area of a circle:

A = πr^2

A = 3.14 * 8^2

A = 200.96 cm^2

Therefore, the area of the circle is greater than the square

-2 is the right

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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