In the coordinate plane, point C lies on segment AB. If the ratio of the length of segment AC to the length of segment CB is 3:1, find the x-coordinate of C given the coordinates of A(3, 12) and B (14, 17). Question 14 options:

A. 11.25

B. 6

C. 5.75

D. 12

A. 11.25

Step-by-step explanation:

If point C(x, y) divides line segment AB with end points at A() and B() in the ratio on n:m, then the coordinates of point C is:

Given that segment AB is divided by point C in the ratio of 3:1. Given A(3, 12) and B (14, 17). Let coordinate of C be (x, y), hence:

Therefore, the coordinate of point C = (11.25, 15.75)

The x coordinate of point C is 11.25

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step-by-step explanation:

the answer

b. they are parallel and will never intersect.