Answer:
2\sqrt{10}
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;
[tex]\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}[/tex]
Hence the distance from the gas station to the animal shelter is 2\sqrt{10}
