Answer:
Distance between Gas Station and House = 7.81 miles.
Step-by-step explanation:
Given: House location ( 4, 3 ) and Gas station location ( 10, 8)
On graph 1 unit = 1 mile.
To find: Distance between Gas Station and House
We use the Distance formula to find the distance between two points [tex](x_1,y_1)\:and\:(x_2,y_2)[/tex]
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From given points and formula,
[tex]Distance\:between\:house\:and\:gas\:station=\sqrt{(10-4)^2+(8-3)^2}[/tex]
= [tex]\sqrt{(6)^2+(5)^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex] units
Since, 1 unit = 1 mile
⇒ [tex]\sqrt{61}\:unit=\sqrt{61}miles=7.81 miles[/tex]
Therefore, Distance between Gas Station and House = 7.81 miles.
