Angelica uses a coordinate plane to make a map of her neighborhood. The point at
(4,3) represents the location of her house, and the point at (10, 8) to represent the
location of the gas station. She wants to drive to the gas station using the straight
line shown below. Use what you know about right triangles to find out how far she
will drive. Each unit on the graph represents 1 mile.
In this answer, give the length of the straight line shown on the graph, and explain
how you calculated it.
у
10
9
(10,8)
Gas station
8
7
ch
6
5
4
3
2.
Angelica's house
(4,3)

Angelica uses a coordinate plane to make a map of her neighborhood The point at 43 represents the location of her house and the point at 10 8 to represent the l class=

Respuesta :

Answer:

Distance between Gas Station and House = 7.81 miles.

Step-by-step explanation:

The distance between the two locations is 7.81 miles

Distance between two points

Given the point at (4,3) represents the location of her house, and the point at (10, 8) represents the location of the gas station.

The distance between the two locations will be determined using the formula

D [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the given coordinate into the formula

[tex]D=\sqrt{(-6)^2+(-5)^2}\\D=\sqrt{(4-10)^2+(3-8)^2}\\D=\sqrt{36+25}\\ D=\sqrt{61}\\ D=7.81miles[/tex]

Hence the distance between the two locations is 7.81 miles

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