Final answer:
To find the distance between points P(7,3) and Q(2,8), the distance formula √((x2-x1)² + (y2-y1)²) is used, resulting in a distance of approximately 7.1 units to the nearest tenth.
Step-by-step explanation:
To find the distance between two points P(7,3) and Q(2,8), we use the distance formula which is derived from the Pythagorean theorem. This formula is √((x2-x1)² + (y2-y1)²), where (x1,y1) and (x2,y2) are the coordinates of the two points.
Substituting the coordinates of points P and Q into the formula, we get: √((2-7)² + (8-3)²) = √((-5)² + (5)²) = √(25 + 25) = √50 = 7.1 (to the nearest tenth).
Therefore, the distance between points P and Q is approximately 7.1 units to the nearest tenth.