why is the distance between (12,9) and (0,4) a 13 unit distance

Answer 1

The distance between two points on a coordinate plane can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the points are (12,9) and (0,4), so:

d = √((0 - 12)^2 + (4 - 9)^2)
d = √((-12)^2 + (-5)^2)
d = √(144 + 25)
d = √169
d = 13

Therefore, the distance between the points (12,9) and (0,4) is 13 units.