McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
8. Congruent and Similar Solids
Continue to next subchapter

Exercise 35 Page 870

Use the Distance Formula.

≈ 9.220 kilometers

Practice makes perfect
The points on the coordinate plane show the locations of Timothy and Quincy's houses.
To find the distance between their houses, we will find the distance between the points using the Distance Formula. Notice that point A is located at (-4,-2) and point B is located at (3,4). Let's substitute these points into the formula!
d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)
d = sqrt(( -4- 3)^2 + ( -2- 4)^2)
Simplify right-hand side
d=sqrt((-7)^2+(-6)^2)
d=sqrt(49+36)
d=sqrt(85)
d=9.21954...
d≈ 9.220
The distance between the points is approximately 9.220 units. Since each unit on the map represents one kilometer, the distance between the houses is approximately 9.220 kilometers.