Question

Find the distance between points (2,9) and (5,4) to the nearest tenth

Answer 1

The given points are (2,9) and (5,4).

We use the distance formula.

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

Where,

`\begin{gathered} x_1=2 \\ x_2=5 \\ y_1=9 \\ y_2=4 \end{gathered}`

We replace the coordinates in the formula.

`\begin{gathered} d=\sqrt[]{(5-2)^2+(4-9)^2} \\ d=\sqrt[]{(3)^2+(-5)^2} \\ d=\sqrt[]{9+25}=\sqrt[]{34}\approx5.8 \end{gathered}`

Therefore, the distance between the points is 5.8 units, approximately.