What is the distance, to the nearest whole number, from K(5, 6) to P(1, −4)?
A.
14
B.
6
C.
11
D.
13
The distance between two points (x1, y1) and (x2, y2) can be found using the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the given points K(5, 6) and P(1, -4), the distance can be calculated as follows:
distance = sqrt((1 - 5)^2 + (-4 - 6)^2)
distance = sqrt((-4)^2 + (-10)^2)
distance = sqrt(16 + 100)
distance = sqrt(116)
distance ≈ 10.77
The nearest whole number to 10.77 is 11.
Therefore, the distance from K(5, 6) to P(1, -4) is approximately 11. Answer choice C.