17. Find the distance between the points (12, 9) and (0, 4)
J. 15 units
K. 14 units
L. 13 units
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, we have (x1, y1) = (12, 9) and (x2, y2) = (0, 4). Plugging these values into the formula, we get:
d = sqrt((0 - 12)^2 + (4 - 9)^2)
= sqrt((-12)^2 + (-5)^2)
= sqrt(144 + 25)
= sqrt(169)
= 13
Therefore, the distance between the points (12, 9) and (0, 4) is 13 units.
Therefore, the answer is L. 13 units.