College Algebra (10th Edition)

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

Chapter 8 - Section 8.7 - Systems of Inequalities - 8.7 Assess Your Understanding - Page 625: 63

Answer

See below.

Work Step by Step

The distance formula from $P_1(x_1,y_1)$ to $P_2(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. The midpoint $M$ of the line segment from $P_1(x_1,y_1)$ to $P_2(x_2,y_2)$ is: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$. Hence: $d=\sqrt{(0-7)^2+(-3-(-8))^2}=\sqrt{49+25}=\sqrt{74}.$ $M=(\frac{7+0}{2},\frac{-8+(-3)}{2})=(\frac{7}{2},-\frac{11}{2})$.
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