Answer:
The correct answer is D. 6√2
Step-by-step explanation:
For calculating the distance between these two points in the coordinate plane, we use the Pythagorean theorem.
Then, this is the calculation:
Distance = √(x_2 - x_1)² + (y_2 - y_1)²
Distance = √(4 -(-2))² + (-2 - 4)²
Distance = √(4 + 2)² + (-2 - 4)²
Distance = √(6)² + (-6)²
Distance = √36 + 36
Distance = √72
Distance = √36 * 2 (Breaking down 72)
Distance = 6√ 2
The distance between A and B in this exercise is 6√ 2
