Question

# Find the distance between the two points in simplest radical form. ( 3 , − 7 ) and ( − 2 , − 2 ) (3,−7) and (−2,−2)

Answer

5*sqrt(2)

- Q: What is the formula for distance between two points? A: The formula for distance between two points (x1, y1) and (x2, y2) is: d = sqrt((x2-x1)^2 + (y2-y1)^2).
- Q: Apply the formula using the coordinates. A: d = sqrt((-2-3)^2 + (-2-(-7))^2) = sqrt((-5)^2 + (5)^2) = sqrt(50) = 5*sqrt(2).