Question

Find the distance between the points (2,4) and (8,2) round to the nearest tenth if necessary

Answer 1

6.3 units

Explanations

The formula for calculating the distance between two points is given as:

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

Given the following coordinate points

A(2,4) and B(8,2)

Substitute the given parameters into the formula to have:

`\begin{gathered} D=\sqrt[]{(8-2)^2+(2-4)^2} \\ D=\sqrt[]{6^2+(-2_{})^2} \\ D=\sqrt[]{36+4} \\ D=\sqrt[]{40} \\ D\approx6.3\text{units} \end{gathered}`

Hence the distance between the points (2,4) and (8,2) round to the nearest tenth is 6.3 units