Final answer:
The distance between the points (3, 5) and (7, 2) is calculated using the distance formula, which is the square root of the sum of the squares of differences between respective coordinates. The result is 5 units, which corresponds to option D).
Step-by-step explanation:
The student has asked to find the distance between the points (3, 5) and (7, 2). To do this, we use the distance formula derived from the Pythagorean theorem, which is d = √((x2 - x1)2 + (y2 - y1)2). Substituting the coordinates of the points into the distance formula, we get:
d = √((7 - 3)2 + (2 - 5)2)
d = √((4)2 + (-3)2)
d = √(16 + 9)
d = √25
d = 5
Therefore, the distance between the points (3, 5) and (7, 2) is 5 units, which corresponds to option D).