College Algebra (10th Edition)

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

Chapter 7 - Section 7.4 - The Hyperbola - 7.4 Assess Your Understanding - Page 537: 1

Answer

$5\sqrt{2}.$

Work Step by Step

The distance formula from $P_1(x_1,y_1)$ to $P_2(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Hence: $d=\sqrt{(3-(-2))^2+(-4-1)^2}=\sqrt{25+25}=5\sqrt{2}.$
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