Question

When a coordinate grid is superimposed on a map of lanesville the middle school is located at (15,13) and the librart is located at (27,9). If each unit represents 1 mile how many miles apart are the middle school in the liebrary round your answer to the nearest 10th

Answer 1

4.5 miles

Explanation:

Given

`Middle\ School = (15,13)`

`Library = (27,9)`

To solve this, we simply solve for the distance (D) between both points.

`D = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Where:

`(x_1,y_1) = (15,13)`

`(x_2,y_2) = (27,9)`

`D = √((27 - 25)^2 + (9 - 13)^2)`

`D = √((2)^2 + (-4)^2)`

`D = √(4 + 16)`

`D = √(20)`

`D=4.472135955`

`D=4.5` --- approximated

Since each unit is 1 mile. The distance is 4.5 miles