Final answer:
To find the coordinates of point C that is partitioned 2/5 from point A(2,6) to B(12,6), we can use the midpoint formula. The coordinates of point C are (8,6).
Step-by-step explanation:
To find the coordinates of point C that is partitioned 2/5 from point A(2,6) to B(12,6), we can use the midpoint formula. The midpoint formula states that the coordinates of a point dividing a line segment into two equal parts is the average of the coordinates of the endpoints.
The x-coordinate of C is found by taking 2/5 of the x-coordinate of A and adding it to 3/5 of the x-coordinate of B: ((2/5) * 2) + ((3/5) * 12) = 8
The y-coordinate of C is the same as the y-coordinate of A and B: 6
So the coordinates of point C are (8,6).