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What are the coordinates of the point on the directed line segment from (3, -3) to
(7,5) that partitions the segment into a ratio of 5 to 3?


Sagot :

Answer:

  • (5.5, 2)

Step-by-step explanation:

Points given:

  • (3, -3) and  (7,5)

Partition ratio:

  • 5 to 3

Formula for the point:

  • x = x1 + a/(a+b)×(x2 - x1)
  • y = y1 + a/(a +b)×(y2 - y1)

So the points are:

  • x = 3 + 5/(5+3)×(7-3) = 3 + 5/8×4 = 5.5
  • y = -3 + 5/8×(5 - (-3)) = -3 + 5/8×8= 2
302603

Answer:

(5.5,2)

Step-by-step explanation: