# Chapter 1 - Tools of Geometry - 1-7 Midpoint and Distance in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 54: 32

d=5

#### Work Step by Step

Find the coordinates of each city. Brooklyn: (8,2); Charleston: (4,5) Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d=\sqrt{(4-8)^2+(5-2)^2}$ $d=\sqrt{(-4)^2+3^2}$ $d=\sqrt{16+9}$ $d=\sqrt{25}$ $d=5$

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