Question

use the distance formula to find the distance, to the nearest tenth, between each pair of points V(8,1) and W(3,6)

Answer 1

The formula for the distance between two points is

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1_{})^2}`

So, in this case, you have

`\begin{gathered} (x_1,y_1)=(8,1) \\ (x_2,y_2)=(3,6) \end{gathered}`
`\begin{gathered} d=\sqrt[]{(3-8)^2+(6-1)^2} \\ d=\sqrt[]{(-5)^2+(5)^2} \\ d=\sqrt[]{25^{}+25} \\ d=\sqrt[]{50} \\ d=7.071 \end{gathered}`

Rounding

`d=7.1`

Therefore, the distance between points V and W is 7.1 units.