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if Point p is located on the segment between point A (1,4) and point D (7,13) . The distance from A to P is twice the distance from P to D . What are the coordinates of point P​

Respuesta :

Answer:

P (5 , 10)

Step-by-step explanation:

point A (1,4) and point D (7,13),         AP/PD = 2:1

P (x,y) : x = x₁ + (a/(a+b) * (x₂-x₁))       y = y₁ + (a/(a+b) * (y₂-y₁))    .... a=2 b=1

x = 1 + 2/(2+1) * (7-1) = 5

y = 4 + 2/(2+1) * (13-4) = 10

P (5 , 10)

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