Answer:
The distance between points ( -8, -2 ) and ( -2, -10 ) is 10
Step-by-step explanation:
Distance between Two Points
Given two points X(a,b) and Y(c,d), the distance between both points is given by:
[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]
The points provided are (-8,-2) and (-2,-10), thus:
[tex]d=\sqrt{(-2-(-8))^2+(-10-(-2))^2}[/tex]
[tex]d=\sqrt{(-2+8)^2+(-10+2)^2}[/tex]
[tex]d=\sqrt{6^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]
The distance between points ( -8, -2 ) and ( -2, -10 ) is 10
