Question

Find the distance between the points 2 4 and 8 2 round to the nearest 10th if necessary

Answer 1

The formula to find the distance between two points (x₁,y₁) and (x₂,y₂) is:

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

Replace the coordinates (2,4) and (8,2) to find the distance between those two points:

`\begin{gathered} d=\sqrt[]{(8-2)^2+(2-4)^2} \\ =\sqrt[]{(6)^2+(-2)^2} \\ =\sqrt[]{36+4} \\ =\sqrt[]{40} \\ =6.3245553203\ldots \\ \approx6.3 \end{gathered}`

Therefore, the distance between (2,4) and (8,2) to the nearest tenth, is 6.3.