What are the coordinates of the point on the directed line segment from (−3,−9) to (4, 5) that partitions the segment into a ratio of 5 to 2?

true? is that what you're asking or do you mean something else?

13cm

step-by-step explanation:

(apex)

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15