Find the standard form of the equation of the ellipse with the given characteristics. (4)

Question

vertices: (9, 3), (9, 13), minor axis of length 8.
A. (x − 9)2
25 + (y − 8)2
16 = 1
B. (x − 8)2
9 + (y − 9)2
16 = 1
C. (x − 9)2
16 + (y − 8)2
25 = 1
D. (x + 8)2
25 + (y + 9)2
16 = 1
E. (x + 9)2
16 −
(y + 8)2
25 =

Answer 1

you need to work on how to type math stuff...
vertices at (9, 3), (9, 13)
center at (9,8)
major axis = 10
so
a = 10/2 = 5
b = 8/2 = 4
(x-9)^2/25 + (y-8)^2/16 = 1