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vampirchik [111]
3 years ago
7

A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point c

losest to point A are _____. (7/2, 5/2) (5/4, 7/4) (23/4, 13/4)
Mathematics
2 answers:
marin [14]3 years ago
7 0

Answer:

ANSWER IS ( 5/4 , 7/4 ).

Step-by-step explanation:


riadik2000 [5.3K]3 years ago
6 0

Line is divided into 4 equal parts.

we have to find a point which is closest to point A.

So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)

Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3

\left ( \frac{m_1x_2+m_2x_1}{m_1+m_2}  , \frac{m_1y_2+m_2y_1}{m_1+m_2} \right )

= \left ( \frac{1*8+3*(-1)}{1+3}  , \frac{1*4+3*1}{1+3} \right )

= \left ( \frac{8-3}{4}  , \frac{4+3}{4} \right )

= \left ( \frac{5}{4}  , \frac{7}{4} \right )

So the final answer is \left ( \frac{5}{4}  , \frac{7}{4} \right ).

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