Concept explainers
To find: an equation of the ellipse.
Answer to Problem 35WE
The equation of the ellipse is
Explanation of Solution
Given:
The foci:
The sum of the focal radii is
Calculation:
An ellipse is the set f all points P in a plane such that the sum of the distances from P to two fixed points
In order to find an equation of the given ellipse, use the distance formula.
By the definition, a point
Square both the sides and simplify.
Combine the similar terms and rearrange.
Square both the sides again and simplify.
Divide both the sides by 16.
Combine the similar terms and rearrange.
Substitute
Divide both the sides by
Conclusion:
Therefore, the equation of the ellipse is
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Linear Algebra and Its Applications (5th Edition)
Algebra and Trigonometry (6th Edition)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
College Algebra with Modeling & Visualization (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education