SOLUTION: Find the center and radius of each circle. Then graph the circle. x squared + y squared + 6x + 4y + 12=0

Algebra ->  Test -> SOLUTION: Find the center and radius of each circle. Then graph the circle. x squared + y squared + 6x + 4y + 12=0      Log On


   

Question 314550: Find the center and radius of each circle. Then graph the circle. x squared + y squared + 6x + 4y + 12=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
x%5E2%2By%5E2+%2B+6x+%2B+4y+%2B+12=0
%28x%5E2%2B6x%29%2B%28y%5E2%2B4y%29+%2B+12=0
%28x%5E2%2B6x%2B9%29%2B%28y%5E2%2B4y%2B4%29+%2B+12=9%2B4
%28x%2B3%29%5E2%2B%28y%2B2%29%5E2+=1
Compare to the general equation for a circle centered at (h,k) with a radius R is:
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
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Center:(-3,-2)
Radius:R=1