Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.2 - The Rectangular Coordinate System - 1.2 Problem Set - Page 24: 36

Answer

$ \sqrt {8}$ or $\approx 2.83$ unit

Work Step by Step

To calculate distance between given points (-3, 8) and (-1, 6), we will use distance formula- r = $ \sqrt { (x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2}}$ = $ \sqrt { (-1 - (-3)) ^{2} + (6 - 8) ^{2}}$ = $ \sqrt { (-1 +3) ^{2} + (-2) ^{2}}$ = $ \sqrt { (2) ^{2} + (-2) ^{2}}$ = $ \sqrt {4 +4}$ = $ \sqrt {8}$ $\approx 2.83$ unit
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