College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.7 - Page 311: 100

Answer

$3\sqrt{5}$

Work Step by Step

$(x_{1}, y_{1}) = (7, 2)$ and $(x_{2}, y_{2}) = (1, -1)$ $$\sqrt{(y_{2} -y_{1})^2 + (x_{2} -y_{1})^2}$$ $$\sqrt{(-1 -2)^2 + (1-7)^2}$$ $$\sqrt{(-3)^2 + (-6)^2}$$ $$\sqrt{9+36}$$ $$\sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5}$$
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