SOLUTION: one endpoint of a segment lies on the origin. if the second endpoints is known to lie on the line x=4, and the segment is a units long, explain how you could find the coordinates o

Question 900532: one endpoint of a segment lies on the origin. if the second endpoints is known to lie on the line x=4, and the segment is a units long, explain how you could find the coordinates of the other endpoint

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
a is also a variable, but you would assume it has or could have a known value. a is a constant.

The distance from (0,0) to (4,y) must be a units.

Distance Formula for this, filled-in:

or
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The line is a vertical line through (4,0)
The line segment trough the origin is
units long
--------------------
If I say that the intersection of the line segment
with is ( 4,y ), then the distance
between ( 0,0 ) and ( 4,y ) would be:

------------------------
So, the coordinates of the other endpoint are:
( 4 , sqrt( a^2 - 16 ) )

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