Question

HURRY BRAINLIEST ALREADY TAKEN BUT WOULDN'T IT BE NICE TO KNOW YOU HELPED SOMEONE? :)

Answer 1

The distance between Angela's house and the gas station, is the distance between the points (4,3) and (10,8). To find that distance, we are going to use the distance formula: $d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From our two points we can infer that $x_1=4$, $y_1=3$, $x_2=10$, and $y_2=8$. So lets replace those values in our ditance formula:
$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d= \sqrt{(10-4)^2+(8-3)^2}$
$d= \sqrt{(6)^2+(5)^2}$
$d= \sqrt{36+25}$
$d= \sqrt{61}$

We can conclude that the gas station is $\sqrt{61}$ units, which is approximately 7.8 units, from her house.