Answered

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

Answer :

Answer:

[tex](1,4\frac{1}{3})[/tex]

Step-by-step explanation:

The coordinates of A and B are missing in the question

Assuming point A is at (1,2) and B is at (1,9) then the coordinates of that partitions AB in the ratio m:n=1:2 is given by:

[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]

We substitute the values to get:

[tex](\frac{1 \times 1+2 \times 1}{1+2},\frac{1 \times 9+2 \times 2}{1+2})[/tex]

We simplify to get:

[tex](\frac{1+2 }{3},\frac{13}{3})[/tex]

[tex](\frac{3 }{3},\frac{13}{3})[/tex]

[tex](1,4\frac{1}{3})[/tex]

Answer:

Answer is A. (0,1)

Step-by-step explanation: Did the test.

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