What is the length to the nearest tenth, of the line segment joining the points (-4,2) and (146,52)

Finding the distance between (-4,2) and (146,52)

Use the distance formula to determine the distance between the two points.
Distance= √(x2−x1)^2+(y2−y1)^2

Substitute the actual values of the points into the distance formula.
√((146)−(−4))^2+((52)−(2))^2

Simplify the expression.
√19400

Rewrite 19400 as 10^2⋅194.
√10^2⋅194

Pull terms out from under the radical.
10√194

The approximate value for the distance between the two points is 139.28389.

10√194≈139.28389