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