Question

Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? Show your work.

Answer 1

Answer: The distance between the 2 locations is 7.81 miles

Step-by-step explanation:

Answer 2

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 $(x_1,y_1)\:and\:(x_2,y_2)$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From given points and formula,

$Distance\:between\:house\:and\:gas\:station=\sqrt{(10-4)^2+(8-3)^2}$

                                                             = $\sqrt{(6)^2+(5)^2}$

                                                             = $\sqrt{36+25}$

                                                             = $\sqrt{61}$ units

Since, 1 unit = 1 mile

⇒ $\sqrt{61}\:unit=\sqrt{61}miles=7.81 miles$

Therefore, Distance between Gas Station and House = 7.81 miles.