To the nearest tenth, what's the distance between the points k(7,-10) and M (1,4)
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem. The formula is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's plug the given coordinates into the formula:
x1 = 7, y1 = -10 (coordinates of point K)
x2 = 1, y2 = 4 (coordinates of point M)
distance = √((1 - 7)^2 + (4 - (-10))^2)
distance = √((-6)^2 + (14)^2)
distance = √(36 + 196)
distance = √232
distance ≈ 15.231
Therefore, to the nearest tenth, the distance between point K(7,-10) and point M(1,4) is approximately 15.2 units.
use the distance formul
d^2 = (7-1)^2 + (-10-4)^2
= 36+196
=323
d = √232 = ......