Question

Find the distance from the gas station to the animal shelter

Answer 1

2\sqrt{10}

Step-by-step explanation:

To get the distance from the gas station to the animal shelter​, we will first take the coordinate points for gas station and animal shelter

Animal shelter = (6, -2)

Gas station = (4,4)

Using the formula for calculating the distance between the two coordinates;

`\begin{gathered} \sqrt[]{(4-(-2))^2+(4-6)^2} \\ \sqrt[]{(4+2)^2+(-2)^2} \\ \sqrt[]{6^2+2^2} \\ \sqrt[]{36+4_{}} \\ \sqrt[]{40} \\ \sqrt[]{4\cdot10} \\ 2\sqrt[]{10} \end{gathered}`

Hence the distance from the gas station to the animal shelter​ is 2\sqrt{10}