Respuesta :
Answer:
A.
Step-by-step explanation:
Given that point P partitions a directed line segment from A to B into the ratio 3:4, we are to determine how close P is to either A or B.
To do this, we take an example.
Let the length of line segment AB be 14 Units.
Since P divides AB in the ratio 3:4
- Length of AP[tex]=\frac{3}{7}X14=6 \:units[/tex]
- Length of PB[tex]=\frac{4}{7}X14=8 \:units[/tex]
Therefore, from the above, we can conclude that P will be closer to A as its distance from A is shorter than its distance from B.
The correct option is A.
Answer:
Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?
A number line goes from point A to point B. A line is drawn from point A to point B.
Right Answer A.) P will be closer to A because it will be Three-sevenths the distance from A to B.
Wrong Answer B.) P will be closer to A because it will be Four-sevenths the distance from A to B.
Wrong Answer C.) P will be closer to B because it will be Three-sevenths the distance from B to A.
Wrong Answer D.) P will be closer to B because it will be Four-sevenths the distance from B to A.
Step-by-step explanation: