Final answer:
To find the distance between the points (-12,21) and (15,-15), use the distance formula to calculate the square root of the sum of the squares of the differences in the x and y coordinates.
Step-by-step explanation:
To find the distance between the points (-12,21) and (15,-15), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the two points, we get:
d = sqrt((15 - (-12))^2 + (-15 - 21)^2) = sqrt(27^2 + (-36)^2)
Calculating the square root of the sum of the squares, we get:
d = sqrt(729 + 1296) = sqrt(2025)
Simplifying the square root, we get:
d = 45
Therefore, the distance between the points (-12,21) and (15,-15) is 45 units.