SOLUTION: Write an equation of an ellipse centered at the origin, satisfying the given conditions. 1. vertex (0, sqrt29); co-vertex (-5, 0) 2. foci (+=2, 0); co-vertices (0, +=6)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation of an ellipse centered at the origin, satisfying the given conditions. 1. vertex (0, sqrt29); co-vertex (-5, 0) 2. foci (+=2, 0); co-vertices (0, +=6)      Log On


   

Question 861928: Write an equation of an ellipse centered at the origin, satisfying the given conditions.
1. vertex (0, sqrt29); co-vertex (-5, 0)
2. foci (+=2, 0); co-vertices (0, +=6)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of an ellipse centered at the origin, satisfying the given conditions.
1. vertex (0, sqrt29); co-vertex (-5, 0)
Given ellipse has a horizontal major axis.
Its standard form of equation: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1, a>b
a=√29
a^2=29
b=5
b^2=25
Equation: x%5E2%2F29%2By%5E2%2F25=1
..
2. foci (±2, 0); co-vertices (0, ±6)
c=2
c^2=4
b=6
b^2=36
c^2=a^2-b^2
a^2=c^2+b^2=4+36=40
Equation: x%5E2%2F40%2By%5E2%2F36=1