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Pavel [41]
3 years ago
12

The equation for the circle is:

Mathematics
1 answer:
noname [10]3 years ago
8 0
(-8,12)

the equation for a circle, centered at (h,k) with radius r is
(x-h)^2+(y-k)^2=r^2

so you need to get your equation in this form. completing the square is one way to do this. separating x and y terms you get
x^2+16x+y^2-24y+159=0
which can then be rewritten using complete the square
x^2+16x+64+y^2-24y+144+159=0+64+144
which is equivalent to
(x+8)^2+(y-12)^2+159=208 \\ (x+8)^2+(y-12)^2=49

so your center is the point (-8,12) and the radius would be 7.

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