Question

find the distance between the given points. if the answer is not exact, use a calculator and give an approximation to the nearest tenth (-7,-2), (5,3)

Answer 1

The distance is:

`d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

By replacing x and y

`d=\sqrt[]{(5-(-7))^2+(3-(-2))^2}`

Then solve

`\begin{gathered} d=\sqrt[]{(5+7)^2+(3+2)^2} \\ d=\sqrt[]{12^2+5^2} \\ d=\sqrt[]{144+25}^{} \\ d=\sqrt[]{169} \\ d=13 \end{gathered}`

Answer: 13