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: 48

Answer

Distance: 19.2 Midpoint: (-1.5,0)

Work Step by Step

We know that A=(-9,-6) and B=(6,6). To find the distance, use the Distance Formula which is $\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$. Substituting gives $\sqrt {\left( {-9 - 6 } \right)^2 + \left( {-6 - 6 } \right)^2 }=\sqrt {\left( {-15 } \right)^2 + \left( {-12 } \right)^2 }=\sqrt {225+144}=\sqrt {369}=19.2$ To find the midpoint, use the Midpoint Formula which is $(\frac{x_1 + x_2}{2}, \frac {y_1 + y_2}{2})$. Substituting gives $(\frac{-9 + 6}{2}, \frac {-6 + 6}{2})=(\frac{-3}{2}, \frac {0}{2})=(-1.5,0)$
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