Item 11 Which points divide overline AB into segments with lengths in the ratios 1:3 or 3:1?

(9, 2)

Step-by-step explanation:

What point divides the directed line segment ​ AB¯¯¯¯¯ ​ ⁢ into a 3:1 ratio?

coordinate plane with segment A B with A at (0, 2) and B at (12, 2)

(3, 2)

(4, 2)

(8, 2)

(9, 2)

Solution:

If point O(x, y) divides the line segment AB with endpoints A() and B() in the ratio n:m, the coordinates of O is:

Let us assume C(x, y) is the point that divides  segment A B with A at (0, 2) and B at (12, 2) in the ratio 3 : 1. Hence:

Therefore the coordinate of point C is at (9, 2).

answer: -0.5 would be the most likley outcome

step-by-step explanation:

um is there supposed to be a picture?