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Alina [70]
4 years ago
10

Find the coordinates of point B on line AC such that AB is 2/3 of AC

Mathematics
1 answer:
ra1l [238]4 years ago
5 0

Answer:

<h2>B(-3, 1)</h2>

Step-by-step explanation:

Let's calculate the distance between the corresponding coordinates of points A and C.

A(1,\ -5),\ C(-5,\ 4)\\\\|AC|_x=|-5-1|=|-6|=6\\\\|AC|_y=|4-(-5)|=|4+5|=|9|=9

We find such B that

|AB|=\dfrac{2}{3}|AC|=\dfrac{2|AC|}{3}

Calculate the unit of division

a_x=\dfrac{6}{3}=2\\\\b_y=\dfrac{9}{3}=3

Therefore the coordinateso f the point B are:

B(x+2,\ y-3)\\\\x+2=-5+2=-3\\\\y-3=4-3=1\\\\\boxed{B(-3,\ 1)}

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