Chapter 14, Problem 6CPE

To determine

To fill : in the blank.

Answer to Problem 6CPE

The distance between $\left(-5,-2\right)\&\left(1,-6\right)$ $\underset{\_}{\sqrt{52}}$ .

Explanation of Solution

Given information : The distance between $\left(-5,-2\right)\&\left(1,-6\right)$ _________ .

The distance between $\left(-5,-2\right)\&\left(1,-6\right)$ $\underset{\_}{\sqrt{52}}$ .

The distance between points is:

  $\begin{array}{l}\Rightarrow \sqrt{{\left(-5-1\right)}^2+{\left(-2-\left(-6\right)\right)}^2}\\ \Rightarrow \sqrt{{\left(-6\right)}^2+{\left(4\right)}^2}\\ \Rightarrow \sqrt{36+16}\\ \Rightarrow \sqrt{52}\end{array}$