Chapter 9.5, Problem 18E

To determine

Tofind:Distance between given points

Answer to Problem 18E

  $d=8.5$

Explanation of Solution

Given information:

  $\begin{array}{l}\left(x_1,y_1\right)=\left(1.2,2\right)\\ \left(x_2,y_2\right)=\left(8.7,6\right)\end{array}$

Concept Used:

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

Calculation:

  $\begin{array}{l}d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\\ \Rightarrow d=\sqrt{{\left(8.7-1.2\right)}^2+{\left(6-2\right)}^2}\\ \Rightarrow d=\sqrt{{\left(7.5\right)}^2+{\left(4\right)}^2}\\ \Rightarrow d=\sqrt{56.25+16}\\ \Rightarrow d=\sqrt{72.25}\\ \Rightarrow d=8.5\end{array}$