Question

Determine the distance between the pair of points, to the nearest hundredth of a unit.

Answer 1

Distance formula:

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

where (x1, y1) and (x2, y2) are the points of interest

Substituting with points (-2, 1) and (3, 5), we get:

`\begin{gathered} d=\sqrt[]{(3-(-2))^2+(5-1)^2} \\ d=\sqrt[]{5^2+4^2} \\ d=\sqrt[]{25+16} \\ d=\sqrt[]{41} \\ d\approx6.40 \end{gathered}`