Question

Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by thirty six = 1



help me please how can i solve this please

Answer 1

Answer on Question #46882 – Math – Analytic Geometry

Question:

Find the center, vertices, and foci of the ellipse with equation

$$\frac {x ^ {2}}{100} + \frac {y ^ {2}}{36} = 1.$$

Solution:

The center of the ellipse is $(0;0)$.

The vertices are: $(-10, 0), (10, 0), (0, 6), (0, -6)$.

The eccentricity is $c = \sqrt{100 - 36} = \sqrt{64} = 8$, so the two foci are: $(-8, 0)$ and $(8, 0)$.

www.AssignmentExpert.com