Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A (0,7) and B (-4,2) A. (-3, - 10.75) B. (-3, 3.25) C. (-5, - 4) D. (-3, - 3.75)

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Mathematics

20 June, 17:20

Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A (0,7) and B (-4,2) A. (-3, - 10.75) B. (-3, 3.25) C. (-5, - 4) D. (-3, - 3.75)

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Answers (2)

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Ricardo Flynn · Answer 1

C

Step-by-step explanation:

C. (-5, - 4)

William Erickson · Answer 2

Answer: B. (-3, 3.25)

Step-by-step explanation: Imagine that the line is divided into 4 segments. (3:1) Since A is at the upper right end of the line, go 3 segments down and left from A. That puts the x value at - 3.

If you graph the line, it is evident that the y-value is at 3.25.

(It may be possible to use the Pythagorean Theorem to compute the lengths of line segments- - but this is a multiple-choice question!)