College Algebra (10th Edition)

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

Chapter 7 - Section 7.3 - The Ellipse - 7.3 Assess Your Understanding: 12

Answer

(1, 4)

Work Step by Step

We know that the center of the ellipse lies on the same horizontal line as the foci. Because both foci have a y-coordinate of 4, this means that the center is on the line y=4. We know that the center is exactly in the middle of the two foci, which have x values of 6 and -4. Thus, we have: $$x=(6-4)/2 \\x=2/2 \\x=1$$ This gives the point (1, 4).
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