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*BRAINIEST & 30 POINTS*

what are the coordinates of the point on the directed line segment from (-8,8) to (7,-7) that partitions the segment into a ratio of 1 to 4?

BRAINIEST amp 30 POINTS what are the coordinates of the point on the directed line segment from 88 to 77 that partitions the segment into a ratio of 1 to 4 class=

Respuesta :

mhanifa

Answer:

  • (-5, 5)

Step-by-step explanation:

Given points:

  • (-8,8) and (7,-7)

Ratio of partitioning:

  • 1 tp 4

Use of formula:

  • P = (x1 + a/(a+b)*(x2 - x1), y1 + a/(a+b)*(y2 - y1))

Substitute values:

  • P = (-8 + 1/(1+4)*(7 + 8), 8 + 1/(1+4)*(-7 - 8))
  • P = (-8 + 1/5*15, 8 + 1/5*(-15))
  • P = (-8 + 3, 8 - 3)
  • P = (-5, 5)

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