Answer:
the coordinate of C is 10.5, and the distance between A and C is 10.5 - 5 = 5.5, and the distance between B and C is 15 - 10.5 = 4.5.
Explanation:
If C is 2 units closer to B than it is to A, then we can find the distance between A and C and between B and C by using the distance formula:
Distance between two points (x1, y1) and (x2, y2) = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Let x be the coordinate of C. Then, the distance between A and C is x - 5, and the distance between B and C is 15 - x. We know that the distance between B and C is 2 units greater than the distance between A and C, so we can set up an equation:
15 - x = 2 + (x - 5)
Simplifying and solving for x, we get:
15 - x = 2 + x - 5
18 - x = x - 3
2x = 21
x = 10.5
Therefore, the coordinate of C is 10.5, and the distance between A and C is 10.5 - 5 = 5.5, and the distance between B and C is 15 - 10.5 = 4.5.