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Let C be the circle with equation x^2+2y-9=-y^2+18x+9+12x+22. If (a,b) is the center of C and r is its radius, what is the value of a+b+r?

 Jan 22, 2022
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x^2+2y-9=-y^2+18x+9+12x+22 => x2 + y2 - 30x + 2y - 40 = 0 => (x - 15)2 + (y + 1)2 = 266

Center ( 15, -1), radius r = \(sqrt{266}\)

 Jan 22, 2022

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