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KATRIN_1 [288]
3 years ago
5

The endpoints of AB¯¯¯¯¯¯¯¯ are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1.

Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0

Answer:

The coordinates of the point P is 14.

Step-by-step explanation:

Let point A is at 8 and B is at 16.

P is the point where the line segment in the ratio 3 : 1.

This is also where P is \frac{3}{4} rds the distance from A to B

The total distance is |16 - 8| = 8  

The distance between point AB is 8 units.

\frac{3}{4} of 8 is 6.

So, the point P is 6 units from A .

8 + 6 = 14

P is at 14

Hence, the coordinates of the point P is 14.

This also works if you go 1/3 from B.

-8 is 4 from -4 which is 1/3 of 12.

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