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igor_vitrenko [27]
3 years ago
8

Please help me This is analytic geometry

Mathematics
1 answer:
Vlada [557]3 years ago
5 0

Answer:

The coordinates of point B are (-3,-3).

Step-by-step explanation:

Let A(x,y) = (6,-6), C(x,y) = (-6,-2) and \overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}, then we have the following formula by vectorial definition of a line segment:

\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}

B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)]

B(x,y) = \frac{3}{4}\cdot C(x,y) +\frac{1}{4}\cdot A(x,y)

B(x,y) = \frac{3}{4}\cdot (-6,-2)+\frac{1}{4}\cdot (6,-6)

B(x,y) = (-3, -3)

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