Question

John and Sarah are playing catch with each other. If John is standing at (-9, 2)and Sarah is standing at (5,-4). Find the distance between them.

Answer 1

To find the distance between John and Sarah, use the distance formula in the Cartesian plane.

Step-by-step explanation:

To find the distance between John and Sarah, we can use the distance formula in the Cartesian plane. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates of John (-9, 2) and Sarah (5, -4), we can substitute the values into the formula:

d = sqrt((5 - (-9))^2 + (-4 - 2)^2)

d = sqrt(14^2 + (-6)^2)

d = sqrt(196 + 36)

d = sqrt(232)

d ≈ 15.23 units