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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 33E
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning