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: 48

Answer

$\sqrt{6.29}\approx 2.508\text{ miles}$

Work Step by Step

We have to determine the distance between the points $A(-1.1,2.8)$ (Capital Airport) and $(0,0.5)$ (Memorial Medical) using the distance formula: $$\begin{align*} d_{AB}&=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\ &=\sqrt{(0-(-1))^2+(0.5-2.8)^2}\\ &=\sqrt{6.29}\approx 2.508. \end{align*}$$
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