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Delvig [45]
3 years ago
12

a sphere has a radius of 3x+2. which polynomial in standard form. best describes the total surface area of the sphere

Mathematics
1 answer:
Semenov [28]3 years ago
3 0
The answer is 36πx² + 48πx + 16π.

The surface area of the sphere with radius r is:
A = 4 π r²

r = 3x+2
A = 4 π (3x+2)²

Since (a+b)² = a² + 2ab + b², then (3x+2)² = (3x)² + 2 * 3x * 2 + 2² = 9x² + 12x + 4

A = 4π*(3x+2)² =
    = 4π*(9x² + 12x + 4) = 
    = 4π*9x² + 4π*12x + 4π*4 = 
    = 36πx² + 48πx + 16π
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4 0
3 years ago
What is the center of a circle represented by the equation x92y62102
andreev551 [17]

The center of the circle is (-9, -6).

What is the center of the circle?

A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Here, we have

The equation of a circle is written as:

(x - h)² + (y - k)² = a²

Where (h, k) is the center and a is the radius of the circle.

Where (h, k) is the center and a is the radius of the circle.

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From the equation, the center of the circle is (-9, -6)

The radius of the circle is 10.

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brainly.com/question/25938130

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8 0
1 year ago
The theater department charged $5 per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donati
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Answer:

$(400+80x)

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There was a donation of $x per ticket, so for 80 tickets, there was a donation of $80x.

Total Income on Friday Night=Ticket Sale+Donations= $(400+80x)

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