Given points (-5,-1) and (5,9):
Let (x1,y1) = (-5,-1)
(x2,y2) = (5,9)
Use the following distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(5 — (-5))^2 + (9 — (-1))^2]
d = √[(5 + 5)^2 + (9 + 1)^2]
d = √[(10)^2 + (10)^2]
Add similar elements:
d = √[(10)^2 • 2]
The squared root of 10^2 is 10, so it goes outside the square root:
d = 10 √2
Therefore, the correct answer is Option 3:
d = 10 √2
Hope this helps :)
