What is the standard equation of the circle whose center is (-5,-4) and whose radius is 3?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Answer each question showing work where work can be shown.

 

14. What is the standard equation of the circle whose center is (-5,-4) and whose radius is 3?

 

 

 

 

 

15. What are the center and radius of the circle whose equation is x2 + (y-3)2 = 144?

 

 

 

 

16. What are the vertices of the ellipse whose equation is (x2)/9 + (y2)/4 = 1?

 

 

 

 

 

17. What is the center of the hyperbola whose equation is [(x+3)2 / 9] - [(y-3)2 / 16] = 1?

 

 

 

 

 

18. How does the graph of the hyperbola open, if its equation is [(x2) / 25] - [(y2) / 36] = 1?  Explain how you know just by looking at the equation.

 

 

 

 

 

19. How does the graph of the hyperbola open, if its equation is [(y2) / 36] - [(x2) / 25] = 1? Explain how you know just by looking at the equation.

 

 

 

 

 

20. What is the eccentricity of the ellipse whose equation is [(x2) / 25] +[(y-3)2 / 9] = 1?

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