Final answer:
The distance between two points in the Cartesian plane can be found using the distance formula. The distance between points A(5,2) and B(14,-14) is approximately 18.36 units.
Step-by-step explanation:
The distance between two points in the Cartesian plane can be found using the distance formula. The distance between points A(5,2) and B(14,-14) can be calculated as follows:
d = √((x2 - x1)^2 + (y2 - y1)^2)
d = √((14 - 5)^2 + (-14 - 2)^2)
d = √((9)^2 + (-16)^2)
d = √(81 + 256)
d = √(337)
d ≈ 18.36
So, the distance between points A and B is approximately 18.36 units.