Respuesta :
Answer:
95 Miles
Step-by-step explanation: (1) 57 squared + 76 squared = (Distance between Southville and Westfield).
(2) Square root of (3249 + 5776) = Distance between Southville and Westfield .
(3) Square root of 9025 = Distance between Southville and Westfield.
(4) Distance between Southville and Westfield = 95 miles
The distance from Southville to Westfield is 95 miles.
How to find the distance?
Let's say that Portland is the origin of the coordinate axis, East is the positive x-axis and North is the positive y-axis.
Westfield is 76 mi due west of Portland, then Westfield's position is:
(76mi, 0mi).
Southville is 57 mi due south of Portland, then its position is:
(0mi, 76mi)
The distance between these two points is given by:
[tex]D = \sqrt{(76mi - 0mi)^2 + (0mi - (-57mi))^2} = 95mi[/tex]
So the distance from Southville to Westfield is 95 miles.
If you want to learn more about distances, you can read:
https://brainly.com/question/7243416