document.write( "Question 1010001: Find the coordinates of the point that is equidistant from (-2,5), (8,5), and (6,7). \n" ); document.write( "

Algebra.Com's Answer #625487 by stanbon(75887) $\"\"$ $\"About$

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Find the coordinates of the point that is equidistant from
\n" ); document.write( "(-2,5), (8,5), and (6,7).
\n" ); document.write( "-----
\n" ); document.write( "From (-2,5)::sqrt[(x+2)^2+(y-5)^2]
\n" ); document.write( "From (8,5):: sqrt[(x-8)^2+(y-5)^2]
\n" ); document.write( "From (6,7):: sqrt[(x-6)^2+(y-7)^2]
\n" ); document.write( "------
\n" ); document.write( "Equate rows 1 and 2::
\n" ); document.write( "(x+2)^2 = (x-8)^2
\n" ); document.write( "x^2 + 4x + 4 = x^2 - 16x + 64
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\n" ); document.write( "4x + 4 = -16x + 64
\n" ); document.write( "20x = 60
\n" ); document.write( "x = 3
\n" ); document.write( "----
\n" ); document.write( "Solve for \"y\"::
\n" ); document.write( "Equate rows 2 and 3
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\n" ); document.write( "(x-8)^2 + (y-5)^2 = (x-6)^2 + (y-7)^2
\n" ); document.write( "----
\n" ); document.write( "Since x = 3::
\n" ); document.write( "5^2 + y^2 - 10y + 25 = 3^2 + y^2 - 14y + 49
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\n" ); document.write( "4y + 50 = 58
\n" ); document.write( "---
\n" ); document.write( "4y = 8
\n" ); document.write( "y = 2
\n" ); document.write( "----
\n" ); document.write( "Ans: (3,2)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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