Chapter 9.5, Problem 17E

To determine

Tofind:Distance between given points

Answer to Problem 17E

  $d=\sqrt{18}$

Explanation of Solution

Given information:

  $\begin{array}{l}\left(x_1,y_1\right)=\left(1,5\right)\\ \left(x_2,y_2\right)=\left(-2,2\right)\end{array}$

Concept Used:

Distance between two points - $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

Calculation:

  $\begin{array}{l}d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\\ \Rightarrow d=\sqrt{{\left(-2-1\right)}^2+{\left(2-5\right)}^2}\\ \Rightarrow d=\sqrt{{\left(-3\right)}^2+{\left(-3\right)}^2}\\ \Rightarrow d=\sqrt{9+9}\\ \Rightarrow d=\sqrt{18}\end{array}$