Chapter 12.4, Problem 28E

To determine

To calculate distance between two points

Answer to Problem 28E

The distance is $\pm 8.60$

Explanation of Solution

Given information:

Consider the given points $(5,9)\text{ and (}-2,4)$

Calculation :

To find the distance:

We know that

  $\begin{array}{l}\text{Distance between two points=}\sqrt{{(x2-x1)}^2+{(y2-y1)}^2}\\ =\sqrt{{(-2-5)}^2+{(4-9)}^2}\\ =\sqrt{{(-7)}^2+{(-5)}^2}\\ \text{=}\sqrt{49+25}\\ \sqrt{74}=\pm 8.60\text{ units}\end{array}$

Therefore,

The result is obtained as,

  $\pm 8.60$ ,