College Algebra (10th Edition)

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

Chapter R - Section R.2 - Algebra Essentials - R.2 Assess Your Understanding - Page 27: 39

Answer

$d(A, E) = 6$

Work Step by Step

$d(A, E)$ represents the distance between the points A and E on a number line. If the coordinates of A and E are $a$ and $e$, respectively, then: $d(A, E) = |a-e|$ Based on the given number line, the coordinates of A and E are $-3$ and $3$, respectively. Use the formula above to obtain: $d(A, E) = |-3-3| = |-3+(-3)| =|-6|=6$ Thus, $d(A, E) = 6$
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