Question

Find the length of AB in the picture below. Round the final answer to the nearest tenth,

Answer 1

The given points are (-3,2) and (5, -2).

We use the distance formula

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

Where,

`\begin{gathered} x_1=-3 \\ x_2=5 \\ y_1=2 \\ y_2=-2 \end{gathered}`

Replacing the coordinates in the formula, we have.

`\begin{gathered} d=\sqrt[]{(5-(-3))^2+(-2-2)^2} \\ d=\sqrt[]{(5+3)^2+(-4)^2} \\ d=\sqrt[]{(8)^2+16} \\ d=\sqrt[]{64+16}=\sqrt[]{80}\approx8.9 \end{gathered}`

Therefore, the distance between the points is 8.9.