contestada

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.

Respuesta :

Answer:

13 units

Step-by-step explanation:

Given points (10,–7)  and (5,5)

To find distance between points we apply distance formula

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

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

Plug in the values in the formula

[tex]D = \sqrt{(5-(-7))^2+(5-10)^2}[/tex]

[tex]D = \sqrt{(12)^2+(-5)^2}[/tex]

[tex]D = \sqrt{(144+25)}[/tex]

[tex]D = \sqrt{169}[/tex]

D= 13