document.write( "Question 138591: The midpoint of AB is (3sqrt5,2sqrt3). If the coordinates of the endpoint B are (-sqrt5,1/2sqrt3), then what are the coordinates of endpoint A? \n" ); document.write( "

Algebra.Com's Answer #101157 by stanbon(75887) $\"\"$ $\"About$

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The midpoint of AB is (3sqrt5,2sqrt3). If the coordinates of the endpoint B are (-sqrt5,1/2sqrt3), then what are the coordinates of endpoint A?
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\n" ); document.write( "Let the coordinates of A be (x,y)
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\n" ); document.write( "Note: The coordinates of the midpoint of a line segment are the average
\n" ); document.write( "of the coordinates of the endpoints.
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\n" ); document.write( "EQUATIONS:
\n" ); document.write( "(x + (-sqrt5))/2 = 3sqrt5
\n" ); document.write( "x - sqrt5 = 6sqrt5
\n" ); document.write( "x = 7sqrt5
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\n" ); document.write( "(y + 2sqrt3)/2 = (1/2)sqrt3
\n" ); document.write( "y + 2sqrt3 = sqrt3
\n" ); document.write( "y = -sqrt3
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\n" ); document.write( "The coordinates of A are (7sqrt5 , -sqrt3)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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