SOLUTION: the question says," sketch the ellipses. identify the center vertices and foci." 9(x+4)^2+(y+7)^2=81 (x-3)^2/9 + (y+3)^2/16 = 1

Algebra ->  Test -> SOLUTION: the question says," sketch the ellipses. identify the center vertices and foci." 9(x+4)^2+(y+7)^2=81 (x-3)^2/9 + (y+3)^2/16 = 1      Log On


   

Question 682050: the question says," sketch the ellipses. identify the center vertices and foci."
9(x+4)^2+(y+7)^2=81
(x-3)^2/9 + (y+3)^2/16 = 1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
9%28x%2B4%29%5E2%2B%28y%2B7%29%5E2=81
9%28x%2B4%29%5E2%2F81%2B%28y%2B7%29%5E2%2F81=81%2F81
%28x%2B4%29%5E2%2F9%2B%28y%2B7%29%5E2%2F81=1
%28x%2B4%29%5E2%2F3%5E2%2B%28y%2B7%29%5E2%2F9%5E2=1

b=3, a=9, h=-4, and k=-7

Center: (h, k)=(-4, -7)
Vertices: (-4, -7 ± 9) or
(-4,2), (-4,-16)
Co-vertices: (-4 ± 3, -7) or (-1,-7), and (-7,-7)
Length of Major Axis: 2a=18
Length of Minor Axis: 2b=6




2.
%28x-3%29%5E2%2F9+%2B+%28y%2B3%29%5E2%2F16+=+1
%28x-3%29%5E2%2F3%5E2+%2B+%28y%2B3%29%5E2%2F4%5E2+=+1

b=3, a=4, h=3, and k=-3

Center: (h, k)=(3, -3)
Vertices: (3, -3 ± 4) or
(3,1), (3,-7)
Co-vertices: (3 ± 3, -3) or (6,-3), and (0,-3)
Length of Major Axis: 2a=8
Length of Minor Axis: 2b=6