Posted by **Beth** on Sunday, February 12, 2012 at 4:08pm.

Write an equation for the ellipse that satisfies the set of conditions.

endpoint of major axis at ( 0, 10) and (0, -10) foci at (0, 8) and (0-8)

Please help, I really don't understand how to do this

- Algebra -
**Steve**, Sunday, February 12, 2012 at 5:45pm
an ellipse with center at (h,k) and semi-axes a and b is

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

the foci are at c where a^2 = b^2 + c^2 and lie on the major axis.

you thus have

a = 10

c = 8

so, b = 6

It appears that the center is at (0,0), so

x^2/100 + y^2/36 = 1

## Answer this Question

## Related Questions

math - Find an equation for the ellipse that satisfies the given conditions. ...

Algebra II - Could someone please check these. For ellipse: (x-2)^2/49 + (y+1)^2...

Algebra - 1. What is the equation an ellipse with foci at (0, ±2 √10 ) and...

Algebra 2 - I've got some homework about ellipses and I am not sure if I am ...

Algebra 2 - Find an equation of the ellipse satisfying the given conditions. ...

math - For the following problem we are asked to find an equation for the conic ...

Algebra-Please check - For the ellipse (x-2)^2/49 + (y+1)^2/25=1 List center: (2...

algebra - 1)Write an equation for an ellipse if the endpoints of the major axis ...

PreCalc - Find the standard form of the equation of the ellipse with the ...

Algebra II - Write an equation for the ellipse with end points of the major axis...