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)![]() ![]() ![]() You can put this solution on YOUR website! 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: \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: \n" ); document.write( "see graph below as a visual check: \n" ); document.write( "y=(9x^2/16-9)^.5\r \n" ); document.write( "\n" ); document.write( " |