Dorothy was asked to write the equation of the ellipse [centered at the origin] with Foci (+25,0) and sum of focal radii 60. Follow her work below to identify her mistake, explain why it is wrong, and then show/tell Dorothy how to find the correct equation. Dorothy's work/explanation: The Foci tell me that c = 25. The sum of the focal radii tell me that a = 30 and that the Major Axis is horizontal. Since (25)2 + (30)² = 625 + 900 = 1525, my equation is: 900 + 1525 =1.
Dorothy was asked to write the equation of the ellipse [centered at the origin] with Foci (+25,0) and sum of focal radii 60. Follow her work below to identify her mistake, explain why it is wrong, and then show/tell Dorothy how to find the correct equation. Dorothy's work/explanation: The Foci tell me that c = 25. The sum of the focal radii tell me that a = 30 and that the Major Axis is horizontal. Since (25)2 + (30)² = 625 + 900 = 1525, my equation is: 900 + 1525 =1.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Topic Video
Question
see image
![Dorothy was asked to write the equation of the ellipse
[centered at the origin] with Foci (+25,0) and sum of
focal radii 60. Follow her work below to identify her
mistake, explain why it is wrong, and then show/tell
Dorothy how to find the correct equation.
Dorothy's work/explanation:
The Foci tell me that c = 25.
The sum of the focal radii tell me that a = 30 and that
the Major Axis is horizontal.
Since (25)2 + (30)2 = 625 + 900 =1525, my
%3D
.2
2
equation is:
900
+
1525
=1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10a9f489-d438-4273-b76d-cc8abf92d638%2Fb2cc1231-130f-43a0-9c29-1361d86adaff%2F13e4c8k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Dorothy was asked to write the equation of the ellipse
[centered at the origin] with Foci (+25,0) and sum of
focal radii 60. Follow her work below to identify her
mistake, explain why it is wrong, and then show/tell
Dorothy how to find the correct equation.
Dorothy's work/explanation:
The Foci tell me that c = 25.
The sum of the focal radii tell me that a = 30 and that
the Major Axis is horizontal.
Since (25)2 + (30)2 = 625 + 900 =1525, my
%3D
.2
2
equation is:
900
+
1525
=1.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education