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OverLord2011 [107]
3 years ago
10

Find the coordinates of point P along directed line segment AB with A(-4, 8) and B(16. - 2). so that the ratio of AP to PB is 3

to 2.
(82)
(63)
O (4.4)
0 (0.6
Geography
1 answer:
AlexFokin [52]3 years ago
7 0

Answer:

P(8,2)

Explanation:

We can find the coordinates of P using section formula which is :

(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})

We have, m₁ = 3, m₂ = 2, x₁ = -4, y₁ = 8, x₂ = 16, y₂ = -2

Putting all the values, we get :

(\dfrac{3\times 16+2\times (-4)}{3+2},\dfrac{3\times (-2)+2\times 8}{3+2})\\\\=(8,2)

Hence, the coordinates of P is (8,2).

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