What is the distance, to the nearest whole number, from K(5, 6) to P(1, −4)?

The distance formula is used to calculate the distance between two points in a coordinate plane.

The formula is:

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

Using the given points K(5, 6) and P(1, -4), we substitute the values into the formula:

distance = sqrt((1 - 5)^2 + (-4 - 6)^2)
= sqrt((-4)^2 + (-10)^2)
= sqrt(16 + 100)
= sqrt(116)
≈ 10.77

Rounding to the nearest whole number, the distance from K(5, 6) to P(1, -4) is approximately 11.