A circular picture is 8 inches in diameter.

What is the area of the picture in square inches?

A. 4π square inches
B. 8π square inches
C. 16π square inches
D. 32π square inches

16π square inches

Step-by-step explanation:

We know the relation between diameter and radius of the circle is that a diameter if half a radius so the diameter halved will give us the radius so, 8 ÷ 2 = 4. The radius of the circular picture is 4 inches and we have to utilise and important formula, the area of a circle which is

→ π × r²

⇆ We have to substitute in the values of the radius so

→ π × r²

⇆ Substitute in the values

→ π × 4²

⇆ Simplify

16π

We can see that all the answer options are in π format so we don't convert the answer so the area of the circular picture is 16π square inches

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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