document.write( "Question 486510: Hello, I am having a problem finding the equation for a hyperbola. I have tried to work it out but can't seem to get it 100 percent right. The information my teacher gives is :\r
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document.write( "The hyperbola with center at (4, 5), with vertices at (0, 5) and (8, 5), with b = 2.\r
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document.write( "If you could please help show me how to solve this so i know how to do it that would be great. Thankyou so much. \n" );
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Algebra.Com's Answer #332542 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The hyperbola with center at (4, 5), with vertices at (0, 5) and (8, 5), with b = 2. \n" ); document.write( "*** \n" ); document.write( "Based on data given, this is an equation of a hyperbola with horizontal transfer axis of the standard form: (x-h)^2/a^2-(y-k)^2/b^2=1 \n" ); document.write( "Center: (4,5) \n" ); document.write( "Length of horizontal transverse axis: 8-5=3=2a \n" ); document.write( "a=3/2 \n" ); document.write( "a^2=9/4 \n" ); document.write( "b=2 \n" ); document.write( "b^2=4 \n" ); document.write( ".. \n" ); document.write( "Equation: (x-4)^2/(9/4)-(y-5)^2/4=1 \n" ); document.write( "or 4(x-4)^2/9-(y-5)^2/4=1 \n" ); document.write( " |