In the diagram, point d divides line segment ab in the ratio of 5: 3. if line segment ac is vertical and line segment cd is horizontal, what are the coordinates of point c? a. (5, -3) b. (2, -3) c. (7, -1) d. (2, -1)

D. (2,-1)

Step-by-step explanation:

Given: In the diagram, point D divides line segment AB in the ratio of 5:3.

Since, line segment AC is vertical then the x coordinate of C will be same as A  (2) and line segment CD is horizontal then the y coordinate of C will be same as D.

Coordinates of A = (2,-6)

Coordinates of B = (10,2)

Section formula: If a point P(x,y) divides a line segment MN with in ration m:n, then

Using section formula, we have

The y coordinate of D =

Thus, the coordinates of C =(2,-1)

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step-by-step explanation:

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