College Algebra (10th Edition)

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

Chapter 2 - Section 2.1 - The Distance and Midpoint Formulas - 2.1 Assess Your Understanding - Page 156: 67

Answer

$d=50t$

Work Step by Step

The car and truck are moving along perpendicular lines. At any time t, their positions are vertices of a right triangle, and the distance between them is the length of the hypotenuse. Apply the Pythagorean theorem. $d^{2}=(30t)^{2}+(40t)^{2}$ $d^{2}=900t^{2}+1600t^{2}$ $d^{2}=2500t^{2}$ $d=50t$
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