Chapter 13.1, Problem 7WE

To determine

To find the distance between the two points

Answer to Problem 7WE

The values of d are $10$

Explanation of Solution

Given information:

The given points is

  $\left(-8,6\right)\text{ and }\left(0,0\right)$

Formula used:

  $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\left[d=\text{distance}\right]$

Calculation:

The distance between the two points can be calculated as

Let, $\left(x_1,y_1\right)\text{ be }\left(-8,6\right)\text{ and }\left(x_2,y_2\right)\text{ be }\left(0,0\right)$

Use the distance formula between the two points

  $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\left[d=\text{distance}\right]$

Put the values of $x_1=-8,x_2=0,y_1=6\text{ and }{y}_2=0$ on the above equation

  $\begin{array}{l}d=\sqrt{{\left(0-\left(-8\right)\right)}^2+{\left(0-6\right)}^2}\\ d=\sqrt{{\left(0+8\right)}^2+{\left(0-6\right)}^2}\\ d=\sqrt{{\left(8\right)}^2+{\left(-6\right)}^2}\\ d=\sqrt{64+36}\\ d=\sqrt{100}\\ d=10\end{array}$

Hence,

The values of d are $10$