Final answer:
The distance between the points (2, 2) and (6, 3) is calculated using the distance formula, resulting in approximately 4.1 units when rounded to the nearest tenth.
Step-by-step explanation:
To calculate the distance between the points (2, 2) and (6, 3), you can use the distance formula derived from the Pythagorean theorem, which is distance (d) = √((x2 - x1)^2 + (y2 - y1)^2). In this case, the coordinates are (x1, y1) = (2, 2) and (x2, y2) = (6, 3).
Now we plug the values into the distance formula:
- d = √((6 - 2)^2 + (3 - 2)^2)
- d = √((4)^2 + (1)^2)
- d = √(16 + 1)
- d = √17
- d ≈ 4.1 (rounded to the nearest tenth)
Therefore, the distance rounded to the nearest tenth between the points (2, 2) and (6, 3) is approximately 4.1 units.