Final answer:
The distance between the points (8, -3) and (4, -7) is calculated using the distance formula, resulting in the distance of √32. The correct answer is c. √32.
Step-by-step explanation:
The distance between two points in a Cartesian coordinate system can be found using the distance formula, which is derived from the Pythagorean theorem. The formula is √((x2-x1)² + (y2-y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points. To find the distance between the points (8, -3) and (4, -7), we apply the formula:
√((4-8)² + (-7+3)²) = √((-4)² + (-4)²) = √(16 + 16) = √(32).
Therefore, the correct answer is c. √32.