document.write( "Question 614581: Find the verticies of the hyperboloa defined by this equation:\r
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document.write( "(x-2)^2 over 36 minus (y-2)^2 over 4 equals 1. \n" );
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Algebra.Com's Answer #386625 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find the verticies of the hyperboloa defined by this equation: \n" ); document.write( "(x-2)^2 over 36 minus (y-2)^2 over 4 equals 1 \n" ); document.write( "** \n" ); document.write( "(x-2)^2/36-(y-2)^2/4=1 \n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis. \n" ); document.write( "Its standard form: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center \n" ); document.write( "For given equation: (x-2)^2/36-(y-2)^2/4=1 \n" ); document.write( "center: (2,2) \n" ); document.write( "a^2=36 \n" ); document.write( "a=√36=6 \n" ); document.write( "vertices: (2±a,2)=(2±6,2)=(-4,2) and (8,2) \n" ); document.write( " |