Whittaker Zimmerman
08/11/2024 · Middle School

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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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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