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Alex_Xolod [135]
3 years ago
14

The center of a circle is located at (5, −5) . The radius of the circle is 3.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0
The equation of a circle is:

(x - xc) {}^{2} + (y - yc) {}^{2} = r {}^{2}

Where (xc,yc) are the coordinates of the center.
Center (5, -5)
Radius = 3
(x-5)²+(y+5)²=3²
x²-10x+25+y²+10y+25=9
x²+y²-10x+10y+41=0
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3 * 3 * 3 = 27. Do that 3 times, now you are left with:

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That leaves you with:

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You can multiply by hand or use a calculator to get your answer of 19683.

To check your answer, plug 3⁹ into a calculator. Your answer should match this. 
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