Point a is located at (3, 6) and point b is located at (10,−2) . what are the coordinates of the point that partitions the directed line segment ab⎯⎯⎯⎯⎯ in a 1: 3 ratio? enter your answer, as decimals, in the boxes. ( , )

(4.75, 4)

Step-by-step explanation:

We are to find the coordinates of the point that partitions the directed line segment AB in 1:3 ration.

For this, we will use the following formula:

,

where is the ratio of the first segment to the whole line segment so in this case, it will .

So substituting the given values in the above formula to find the coordinates:

Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4.75, 4).

13664

step-by-step explanation:

=cross multiply

=100 x = 13664