Question

please give me the answer of both questions

Answer 1

13. Using centroid formula,

x1 + x2 + x3 divided by 3, y1 + y2 + y3 divided by 3

6/3 , -12/3

centroid = (2, -4)

14. Divided by x axis means that y = 0

Let the ratio be k:1

Using section formula,

m1x2 + m2x1 divided by k+1, m1y2 + m2y1 divided by k + 1 = x,0

(2k+ 5)/ k+1 , (-3k + 6)/ k+1 = x,0

comparing y,

-3k + 6 / k+1 = 0

-3k + 6 = 0

-3k = -6

k = 2.

Therefore, the ratio is 2:1