Chapter 12.4, Problem 29E

To determine

To calculate distance between two points.

Answer to Problem 29E

Distance between two points is $\text{6}\text{.40 units}$ .

Explanation of Solution

Given information:

Consider the given points $(3,-1)\text{ and (}-2,-5)$

Calculation :

Distance between two points is obtained as:

  $\begin{array}{l}=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}\\ =\sqrt{{(-2-3)}^2+{(-5--1)}^2}\\ =\sqrt{{(-2-3)}^2+{(-5+1)}^2}\\ =\sqrt{25+16}\\ =\sqrt{41}\\ =6.40\end{array}$ [since, $\left(x_1,y_1\right)=(3,-1)\text{ and }\left(x_2,y_2\right)=\text{(}-2,-5)$ ]

Therefore,

Distance between two points is $\text{6}\text{.40 units}$ .