Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-7 Midpoint and Distance in the Coordinate Plane - Practice and Problem-Solving Exercises: 39

Answer

$d=5.4$ $M(-2.5,3)$

Work Step by Step

Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(0-(-5))^2+(4-2)^2}$ $d=\sqrt{(5)^2+(2)^2}$ $d=\sqrt{25+4}$ $d=\sqrt{29}$ $d\approx5.4$ Use the midpoint formula to find the x-coordinate of the midpoint: $x_m=\frac{x_1+x_2}{2}=\frac{-5+0}{2}=\frac{-5}{2}=-2.5$ Use the midpoint formula to find the y-coordinate of the midpoint: $y_m=\frac{y_1+y_2}{2}=\frac{4+2}{2}=\frac{6}{2}=3$
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