document.write( "Question 793408: equation of hyperbola is given by the equation 8y2-2x2=16. find the co ordinates of.
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document.write( "1) foci
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document.write( "2) vertices
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document.write( "3) eccentricity \n" );
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Algebra.Com's Answer #480714 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! equation of hyperbola is given by the equation 8y2-2x2=16. find the co ordinates of. \n" ); document.write( "1) foci \n" ); document.write( "2) vertices \n" ); document.write( "3) eccentricity \n" ); document.write( "*** \n" ); document.write( "8y^2-2x^2=16 \n" ); document.write( "y^2/2-x^2/8=1 \n" ); document.write( "This is an equation of a hyperbola with vertical transverse axis and center at (0,0) \n" ); document.write( "Its standard form of equation: y^2/a^2-x^2/b^2=1 \n" ); document.write( ".. \n" ); document.write( "a^2=2 \n" ); document.write( "a=√2 \n" ); document.write( "b^2=8 \n" ); document.write( "b=√8 \n" ); document.write( "c^2=a^2+b^2 \n" ); document.write( "c^2=2+8=10 \n" ); document.write( "c=√10≈3.16 \n" ); document.write( ".. \n" ); document.write( "1) foci:(0,0±c)=(0,0±3.16)=(0,0-3.16) and (0,0+3.16) \n" ); document.write( "2) vertices:(0,0±a)=(0,0±√2)=(0,0-√2)and (0,0+√2) \n" ); document.write( "3) eccentricity: c/a=√10/√2=√5\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |