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The equation of the circle with center (3, -2) and radius 7 is
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equation of a circle is \[(x-h)^2 + (y-k)^2 = r^2\] where h is the x coordinate of the center k is the y coordinate of the center r is radius
is the answer x + y = 51
how did you get that?
maybe a demonstration will help...
EXAMPLE: center is at (2,3) and radius is 4 \[(x-h)^2 + (y-k)^2 = r^2\] \[(x - 2)^2 + (y-3)^2 = 4^2\] \[(x-2)^2 + (y-3)^2 = 16\] this is now the equation for the one i gave
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(x - h)2 +(y-k)2 = r2 (x-3)2 + (y- -2)2 = 49 x-9 + y + 4 = 49 x-5 + y = 49 x+y = 54
(x-3)2 + (y- -2)2 = 49 is this supposed to be the answer
simplify it further... what is y-(-2)
y+4
there...that's the answer \[(x-3)^2 + (y+4)^2 = 49\]
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