1. $$ x^{2}+y^{2}+14 x-8 y+56=0 $$ 2. $$ 9 x^{2}+9 y^{2}-6 x-36 y-107=0 $$ 3. $$ x^{2}+y^{2}+8 x+20=0 $$ 4. $$ x^{2}+y^{2}+2 x-2 y+11=0 $$ 5. $$ x^{2}+y^{2}-8 y=0 $$ B. Write the center-adius form of each circle. 6. center at origin, radius 6 7. center at $$ (6,1) $$, redius 7 8. center at $$ (-2,0) $$, diameter 16 9. center at $$ (3,1) $$, diameter 8 10. center at arigin, radius 8 C. Write the general form of the following. 11. $$ x^{2}+(y-7)^{2}=9 $$ 12. $$ (x-3)^{2}+(y-3)^{2}=16 $$ 13. $$ (x+1)^{2}+(y-4)^{2}=25 $$

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Kelley Summers · Accepted Answer

1. $$ (x + 7)^2 + (y - 4)^2 = 9 $$ 2. $$ \left(x - \frac{1}{3}\right)^2 + (y - 2)^2 = \frac{40}{3} $$ 3. This equation does not represent a circle. 4. $$ (x + 1)^2 + (y - 1)^2 = 3 $$ 5. $$ x^2 + (y - 4)^2 = 16 $$ 6. $$ x^2 + y^2 = 36 $$ 7. $$ (x - 6)^2 + (y - 1)^2 = 49 $$ 8. $$ (x + 2)^2 + y^2 = 64 $$ 9. $$ (x - 3)^2 + (y - 1)^2 = 16 $$ 10. $$ x^2 + y^2 = 64 $$ 11. $$ x^2 + (y - 7)^2 = 9 $$

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