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enot [183]
2 years ago
13

Points A and B have coordinates A(-4, 2) and B(3,-6). Find the coordinates of point P, the weighted average of points A and B, i

n which point A
has a weight of 2 and point 8 has a weight of 5.
A) (-2,-²)
B) (-2)
C) (1,-)
D) (1,-13)

Mathematics
1 answer:
lys-0071 [83]2 years ago
7 0

Answer:

  C)  P(1, -26/7)

Step-by-step explanation:

You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.

<h3>Weighted average</h3>

Each of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.

  P = (2A +5B)/(2+5)

  P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7

  P = (1, -26/7)

The coordinates of P are (1, -26/7).

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<h3>What are the conditions of the congruent triangle?</h3>

Triangles that are equivalent in terms of size and form are known as a congruent triangle.

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