Answer:
9.4868 units.
Explanation:
To find the distance between two points (-3, 2) and (6, 5) using the distance formula, you can follow these steps:
1. Recall the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
2. Identify the coordinates of the first point (x1, y1) and the second point (x2, y2).
In this case, the first point is (-3, 2) and the second point is (6, 5).
3. Plug in the values into the distance formula:
d = √((6 - (-3))^2 + (5 - 2)^2)
4. Simplify the expression inside the square root:
d = √((9)^2 + (3)^2)
5. Calculate the square of each term inside the square root:
d = √(81 + 9)
6. Add the terms inside the square root:
d = √90
7. Simplify the square root:
d ≈ 9.4868