Find an equation for the ellipse that satisfies the given conditions. Foci: (±8, 0), vertices: (±10,0) \frac{x^2}{64} - \frac{y^2}{36} = 1 Need Help? Read It Watch It 19. [-/1 Points] DETAILS SPRECALC7 11.2.040.??. Find an equation for the ellipse that satisfies the given conditions. Foci: (0, ±12), vertices: (0, ±20) Need Help? Read It Master It 20. [-/1 Points] DETAILS SPRECALC7 11.2.043. Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±\sqrt{15}), vertices: (0, ±9)
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We also know that the distance between the foci is 2c = 8, so c = 4. The distance between the vertices is 2a = 20, so a = 10. The equation for an ellipse centered at the origin is (x^2/a^2) + (y^2/b^2) = 1, where a is the distance from the center to the vertex Show more…
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