Oint a is located at (2, 6) and point b is located at (18, 12). what point partitions the directed line segment ab¯¯¯¯¯ into a 2: 3 ratio? 825, 825) (1012, 1012) (1139, 935) (1412, 12)

Step-by-step explanation:

We are given that

Point A is at (2,6) and  point B is at  (18,12).

We have to find the point which partitions the directed line segment AB into a ratio 2:3.

We have

Section formula:

Substitute the values in the given formula then, we get

The coordinates of point which partitions the segment AB is given by

Hence, the coordinated of the point which partitions the line segment AB =

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are