To find the distance AB between points A(-2, 10) and B(4, -2), we use the distance formula:
AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)
For point A, x1 is -2 and y1 is 10. For point B, x2 is 4 and y2 is -2.
Plug these into the formula:
AB = sqrt((4 - (-2))^2 + (-2 - 10)^2)
AB = sqrt((4 + 2)^2 + (-2 - 10)^2)
AB = sqrt(6^2 + (-12)^2)
AB = sqrt(36 + 144)
AB = sqrt(180)
AB = approximately 13.42
So, the distance AB is approximately 13.42 when rounded to two decimal places.