2 years ago

20 points :D

Mathematics

1 answer:

zepelin [54]2 years ago

8 0

Answer:

Step-by-step explanation:

A(1,13), B(5,8)

Let C be 7 units to the right of B: C(5+7,8) = C(12,8)

Let D be 7 units to the right of A: A(1+7,13) = A(8,13)

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Drupady [299]

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1 year ago

Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of

vesna_86 [32]

Answer:

m = 3 , n = 4

Step-by-step explanation:

Using Section Formula.

$If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}$

$Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3$