Chapter 12.8, Problem 35STP

To determine

Find the distance between the houses.

Answer to Problem 35STP

9.2 km

Explanation of Solution

Given:

  

Point A and point B represent the locations of T’s and Q’s houses.Each unit on the map represents one kilometer .

Formula Used:

The distance between two points is

  $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2};where{\text{ (x}}_1,x_2){\text{ and (y}}_1,y_2)\text{ are the points}$

Calculation:

The coordinates of the points are A(-4,-2) and B(3,4).

The distance between the two points

  $=\sqrt{{\left(3-(-4)\right)}^2+{\left(4-(-2)\right)}^2}=\sqrt{49+36}=\sqrt{85}\approx 9.2$

So, the distance between the points is 9.2 km.