Final answer:
The distance between points A(-4,8) and B(3,-2) is approximately 12.
Step-by-step explanation:
To find the distance between points A(-4,8) and B(3,-2), we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of A and B:
d = sqrt((3 - (-4))^2 + (-2 - 8)^2)
d = sqrt(7^2 + (-10)^2)
d = sqrt(49 + 100)
d = sqrt(149)
Using a calculator, we find that sqrt(149) is approximately 12.21.
Rounding to the nearest whole number, the distance between points A and B is 12.