College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.4 - Circles - 2.4 Assess Your Understanding - Page 187: 53

Answer

$(x+1)^2+(y+2)^2=(64.6)^2$

Work Step by Step

First of all, we write the equation in standard form as follows: $x^2+y^2+2x+4y-4091=0$ Now we complete the square for both the variables x and y $(x^2+2x+1)+(y^2+4y+4)=4091+5$ This simplifies to: $(x+1)^2+(y+2)^2=(64)^2$ Thus, the center of the Earth is $(-1,-2)$ and the radius is $64$. The weather circles about the center of the Earth but with a radius which is $0.6$ greater than that of the Earth. Now, we can write the equation for the satellite orbit as $(x+1)^2+(y+2)^2=(64.6)^2$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.