Question

Find the distance between the pair of points. Round your answer to the nearest tenth, if necessary. Work must be shown to support your answer.

Answer 1

We need to find the distance between the points shown in the figure

First, to find the distance between two points, we will use the following formula:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

From the given figure, the coordinates of the points are:

( -3, 1 ) and ( 4, 4)

So, the distance = d

`\begin{gathered} d=\sqrt[]{(4-(-3))^2+(4-1)^2^{}} \\ \\ d=\sqrt[]{(4+3)^2+(4-1)^2} \\ \\ d=\sqrt[]{7^2+3^2}=\sqrt[]{49+9}=\sqrt[]{58}=7.616 \end{gathered}`

Rounding the answer to the nearest tenth

so, the answer is the distance = 7.6