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sineoko [7]
3 years ago
15

I need help. tomorrow i have my state test.

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

just count how many there and and eliminate one by one

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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? x = (
Crank

The x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

<h2>We have to determine</h2>

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?

<h3>According to the question</h3>

A line segment at points A(2, -3) and B (-4, 9).

The x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 is given by;

\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\&#10;\\&#10; y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\&#10;\\

Where \rm x_1 = 2 , \ x_2 =-4, \ y_1 =-3, \ y_2 = 9

Substitute all the values in the formula;

\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\\\

\rm x=\dfrac{1}{(1+2)} [-4-(2)]+ (2)\\\\ x = \dfrac{1}{3} \times (-6) +2 \\&#10;\\&#10;x = -2+2\\&#10;\\&#10;x=0

\rm y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\\\ y=\dfrac{1}{(1+2)} [9-(-3)]+ (-3)\\\\&#10;y = \dfrac{1}{3} \times (12) -3\\&#10;\\&#10;y = 4-3\\&#10;\\&#10;y =1

Hence, the x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

To know more about Coordinates click the link given below.

brainly.com/question/13847533

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