Asked by doodle bob
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.
P will be closer to A because it will be Three-sevenths the distance from A to B.
P will be closer to A because it will be Four-sevenths the distance from A to B.
P will be closer to B because it will be Three-sevenths the distance from B to A.
P will be closer to B because it will be Four-sevenths the distance from B to A.
All Answers 1
Answered by
GPT-5 mini
AI
P will be closer to A.
If AP:PB = 3:4 then AP = 3/(3+4) = 3/7 of the distance AB (and PB = 4/7), so P lies 3/7 of the way from A to B. Thus the correct choice is: "P will be closer to A because it will be Three-sevenths the distance from A to B."
If AP:PB = 3:4 then AP = 3/(3+4) = 3/7 of the distance AB (and PB = 4/7), so P lies 3/7 of the way from A to B. Thus the correct choice is: "P will be closer to A because it will be Three-sevenths the distance from A to B."
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