Question

3. In the University building, Sara's office is mapped on the coordinate plane at (10,–7) and the cafeteria is at (5,5). Find the distance between them.

Answer 1

13 units

Explanation:

Given points (10,–7) and (5,5)

To find distance between points we apply distance formula

`D = √((x_2-x_1)^2+(y_2-y_1)^2)`

(x1,y1) is (10,–7) and (x2,y2) is (5,5)

Plug in the values in the formula

`D = √((5-(-7))^2+(5-10)^2)`

`D = √((12)^2+(-5)^2)`

`D = √((144+25))`

`D = √(169)`

D= 13