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In the coordinate plane shown point C (not shown) lies on AB (10, 10) (2, 4) x Find point C so that that the ratio of length AC to the length of CB is 1:3.

1 Answer

4 votes
Distance in a plane

Initial explanation

We want to find a point C that lies on the line AB.

Its distance to B must be three times its distance to A.

We have that the coordinates of C correspond to the division of the x axis and the y axis:

x axis

on th

In the coordinate plane shown point C (not shown) lies on AB (10, 10) (2, 4) x Find-example-1
In the coordinate plane shown point C (not shown) lies on AB (10, 10) (2, 4) x Find-example-2
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User YvesgereY
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