What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. (4 points)
7.81
8.17
8.58
10.4
To find the distance between two points, we can use the distance formula:
Distance = √((x2-x1)^2 + (y2-y1)^2)
In this case, the coordinates of the first point are (-4, 0) and the coordinates of the second point are (2, 5).
Plugging these values into the distance formula, we get:
Distance = √((2-(-4))^2 + (5-0)^2)
Distance = √((6)^2 + (5)^2)
Distance = √(36 + 25)
Distance = √61
Rounding this to the nearest hundredth, the distance is approximately 7.81.
Therefore, the answer is 7.81.