document.write( "Question 609926: find the equation for a hyperbola with the vertices (2,0) and (-2,0) with the asymptotes y=7/2x \n" ); document.write( "
Algebra.Com's Answer #384282 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! find the equation for a hyperbola with the vertices (2,0) and (-2,0) with the asymptotes y=7/2x \n" ); document.write( "** \n" ); document.write( "This is a hyperbola with horizontal transverse axis: \n" ); document.write( "Its standard form of equation: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center \n" ); document.write( "For given hyperbola: \n" ); document.write( "center: (0,0) \n" ); document.write( "length of horizontal transverse axis=4 (from -2 to 2)=2a \n" ); document.write( "a=2 \n" ); document.write( "a^2=4 \n" ); document.write( "given slope of asymptotes for hyperbolas with horizontal transverse axis=b/a=7/2 \n" ); document.write( "b=7a/2=7*2/2=14/2=7 \n" ); document.write( "b^2=49 \n" ); document.write( "equation of given hyperbola: \n" ); document.write( "x^2/4-y^2/49=1 \n" ); document.write( " \n" ); document.write( " |