Chapter 9.5, Problem 1C

To determine

Tofind:Distance between given points.

Answer to Problem 1C

  $d=5$

Explanation of Solution

Given information:

  $\begin{array}{l}\left(x_1,y_1\right)=\left(11,-2\right)\\ \left(x_2,y_2\right)=\left(7,-5\right)\end{array}$

Concept Used:

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

Calculation:

  $\begin{array}{l}d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\\ \Rightarrow d=\sqrt{{\left(7-11\right)}^2+{\left(-5-\left(-2\right)\right)}^2}\\ \Rightarrow d=\sqrt{{\left(-4\right)}^2+{\left(-5+2\right)}^2}\\ \Rightarrow d=\sqrt{{\left(-4\right)}^2+{\left(-3\right)}^2}\\ \Rightarrow d=\sqrt{16+9}\\ \Rightarrow d=\sqrt{25}\\ \Rightarrow d=5\end{array}$