Final answer:
The distance between point A(7, 2) and point B(-1, 4) is calculated using the distance formula, resulting in √(68), which is approximately 8.25 meters.
Step-by-step explanation:
To find the distance between two points, A(7, 2) and B(-1, 4), in the Cartesian plane, we use the distance formula:
√((x2 - x1)² + (y2 - y1)²)
Plugging in the coordinates, the calculation will be:
√((-1 - 7)² + (4 - 2)²)
Which simplifies to:
√((-8)² + (2)²) = √(64 + 4) = √(68)
The exact distance is √(68) meters, and the approximate distance is 8.25 meters when you calculate the square root.