Final answer:
To find the distance between two points in the Cartesian plane, we use the distance formula. In this case, the distance between the points (3, -5) and (0, 2) is sqrt(58) units.
Step-by-step explanation:
To find the distance between two points in the Cartesian plane, we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (3, -5) and (0, 2). Plugging these values into the formula, we get:
d = sqrt((0 - 3)^2 + (2 - (-5))^2)
d = sqrt((-3)^2 + (2 + 5)^2)
d = sqrt(9 + 49)
d = sqrt(58)
Therefore, the distance between the points (3, -5) and (0, 2) is sqrt(58) units.