document.write( "Question 851093: A point moves so that the absolute value of the difference between it's distances from (0,5) and (0,-5) is 8. \n" ); document.write( "
Algebra.Com's Answer #512579 by lwsshak3(11628)\"\" \"About 
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A point moves so that the absolute value of the difference between it's distances from (0,5) and (0,-5) is 8.
\n" ); document.write( "Conic described is a hyperbola with a horizontal transverse axis, foci at (0,5) and (0,-5), 2a=8, and center at (0,0).
\n" ); document.write( "Its standard form of equation: \"x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1\"
\n" ); document.write( "2a=8
\n" ); document.write( "a=4
\n" ); document.write( "a^2=16
\n" ); document.write( "c=5
\n" ); document.write( "c^2=25
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=25-16=9
\n" ); document.write( "equation: \"x%5E2%2F16-y%5E2%2F9=1\"
\n" ); document.write( "see graph below as a visual check:
\n" ); document.write( "y=(9x^2/16-9)^.5\r
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