Question

Can I please get some help? I will fan and medal for most helpful.

Answer 1

Be right back

Answer 2

Back.

Answer 3

A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere?
\[S=4 \pi r^2\]

Answer 4

plug in 2x+5 for r

Answer 5

\[A.) 16 \pi x^2 + 80 \pi x + 100 \pi\]
\[B.) 16 \pi x^2 + 40 \pi x + 100 \pi\]
\[C.) 100 \pi x^2 + 80 \pi x + 16 \pi\]
\[D.) 100 \pi x^2 + 100 \pi\]

Answer 6

\[4 \times π \times (2x+5)^2\]\[4 \times π \times (2x+5)(2x+5)\]\[4 \times π \times (4x^2+20x+25)\]\[π \times 4 \times (4x^2+20x+25)\]\[π \times (16x^2+80x+100)\]\[16x^2π+80xπ+100π\]

Answer 7

Clear?

Answer 8

I think so.... I am not sure the whole numbers and letters confuse me

Answer 9

I don't really see what you're confused about

Answer 10

I plugged in 2x+5 for the radius into the sphere formula you have posted.

Answer 11

...okay