Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 9 Quadratic Relations and Conic Sections - 9.1 Apply the Distance and Midpoint Formulas - 9.1 Exercises - Problem Solving - Page 618: 50

Answer

$\sqrt{3.65}\text{ miles}$

Work Step by Step

We have to determine the distance between the points $A(-1.4,-0.8)$ (Washington Park) and $B(0,0.5)$ (Memorial Medical) using the distance formula: $$\begin{align*} d_{AB}&=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\ &=\sqrt{(0-(-1.4))^2+(0.5-(-0.8))^2}\\ &=\sqrt{3.65}\approx 1.910. \end{align*}$$ The distance between Washington Park and Memorial Medical is $\sqrt{3.65}$ miles.
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