Point A is located at (2, 8) and point B is located at (8, 5). What point partitions the directed line segment AB⎯⎯⎯⎯⎯ into
a 1:3 ratio? (3 1/2, 7 1/4) (3 1/3, 4 1/3) (6 1/2, 5 1/4) (2 1/2, 3 1/4)
2 answers:
Answer:
(3 1/2, 7 1/4)
Step-by-step explanation:
When the segments have the ratio 1:3, the shorter segment is 1/(1+3) = 1/4 of the total length.
The point P that divides the length that way will be ...
... P = A + (1/4)(B - A)
... = A - 1/4A + 1/4B
... = (3A +B)/4
... = (3(2, 8) +(8, 5))/4 = (14/4, 29/4)
... P = (3 1/2, 7 1/4)
Answer:
3 & 1/2 AND 7 & 1/4
Step-by-step explanation:
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Hope it helps
Answer:
1 and 1.5
Step-by-step explanation:
but im not sure
