Question

The mayor of a town places a map of the town on a coordinate grid with Town Hall at the point (0,0) and with each unit representing a mile. Sarah's house is at the point (5,2) and Malia's house is at the point (3,-2). How far apart do Sarah and Malia live?

Answer 1

7.20

Explanation:

because when i answered the question i got it right

Answer 2

4.47 Miles

Explanation:

To be able to find distance between Sarah and Malia's house, we need to use the distance formula between the two points.

`d = \sqrt{(x_(2)-x_(1))^(2)+(y_(2) - y_(1))^(2) }`

We have now define the points of both Sarah and Malia's house.

Sarah's House = (5, 2)

Milia's House = (3, -2)

We then substitute the values in the distance formula with the points given.

`d=\sqrt{(5-3)^(2)+(2 --2)^(2)}`

`d=\sqrt{(2)^(2)+(4)^(2)}`

`d=√(4+16)`

`d=√(20)`

d = 4.47 miles