Number 8 , what are the coordinates of point c below segment ac that is partitioned at point b in a ratio of 2 to 5.

Step-by-step explanation:

From the given figure it is clear that the coordinates of points are A(5,0) and B(8,0).

Let the coordinates of C are (a,b).

Section formula:

If a point K divides a line segment PQ in m:n and end point of segment are and , then the coordinates of point K are

It is given that point B divides the line AC in 2:5.

Using section formula the coordinates of B are

We know that B(8,0).

On comparing both sides we get

Similarly,

Therefore, the coordinates of C are .

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10