An equation of an ellipse is given. 9x² + 25y² - 50y = 200 (a) Find the center, vertices, and foci of the ellipse. (x₁ x) = ( center___ (x, y) = focus focus vertex (x, y) = (x, y) = (x, y) = vertex (x, y) = (x, y) = ( (smaller x-value) (larger x-value) (smaller X-value) (larger x-value) (b) Determine the lengths of the major and minor axes. major axis units minor axis units

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.3: Ellipses
Problem 18E
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An equation of an ellipse is given.
9x² + 25y² - 50y = 200
(a) Find the center, vertices, and foci of the ellipse.
(x₁ x) = (
center___ (x, y) =
focus
focus
vertex
(x, y) =
(x, y) =
(x, y) =
vertex (x, y) =
(x, y) = (
(smaller x-value)
(larger x-value)
(smaller X-value)
(larger x-value)
(b) Determine the lengths of the major and minor axes.
major axis
units
minor axis
units
Transcribed Image Text:An equation of an ellipse is given. 9x² + 25y² - 50y = 200 (a) Find the center, vertices, and foci of the ellipse. (x₁ x) = ( center___ (x, y) = focus focus vertex (x, y) = (x, y) = (x, y) = vertex (x, y) = (x, y) = ( (smaller x-value) (larger x-value) (smaller X-value) (larger x-value) (b) Determine the lengths of the major and minor axes. major axis units minor axis units
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