Xsquared plus y squared - 12 y + 31 equals 0

x^2  +  (y - 6)^2 = 5   or    x^2  +  (y - 6)^2 = (√5)^2

Step-by-step explanation:

x^2 + y^2 - 12y + 31 = 0 can be rewritten in a form close to the equation of a circle centered at (h,k) and with radius r:

x^2 + y^2 - 12y + 31 = 0, or

(x - 0)^2 + (y - 12y + 36) - 36 + 31 = 0, or

   x^2    +  (y - 6)^2 = 5

Thus, x squared plus y squared - 12 y + 31 equals 0 actually represents the equation of a circle with center at (0, 6) and radius √5.

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's

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step-by-step explanation: