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miss Akunina [59]
2 years ago
13

What are the coordinates of point P on the directed line

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

Answer:

<u>(</u><u>-3.5, 2.3</u><u>)</u>

Step-by-step explanation:

Let the point P have coordinates : (x, y)

The line (from R to Q) is divided in the ratio :

Coordinates of :

  • Q = (-5, 3)
  • R = (4, -1)

Using section formula :

  • x = mx₂ + nx₁ / m + n
  • x = 5(-5) + 1(4) / 5 + 1
  • x = -21/6 = -7/2
  • x = -3.5

  • y = my₂ + ny₁ / m + n
  • y = 5(3) + 1(-1) / 5 + 1
  • y = 14/6 = 7/3
  • y = 2.3

The coordinates of the point P are : <u>(</u><u>-3.5, 2.3</u><u>)</u>

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