document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470818>Question 470818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the hyperbola with the given characteristics.\r<BR>\n" );
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document.write( "asymptotes:y=+-4x\r<BR>\n" );
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document.write( "a.(y^2)/(16/17)-(x^2)/(256/17)=1<BR>\n" );
document.write( "b.(x^2)/(16/17)-(y^2)/(256/17)=1<BR>\n" );
document.write( "c.(y^2)/(16)-(x^2)/(16)=1<BR>\n" );
document.write( "d.(x^2)/(16)-(y^2)/(16)=1<BR>\n" );
document.write( "e.(x^2)/(256/17)-(y^2)/(16/17)=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323087 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the hyperbola with the given characteristics. <BR>\n" );
document.write( "asymptotes:y=+-4x <BR>\n" );
document.write( "a.(y^2)/(16/17)-(x^2)/(256/17)=1<BR>\n" );
document.write( "b.(x^2)/(16/17)-(y^2)/(256/17)=1<BR>\n" );
document.write( "c.(y^2)/(16)-(x^2)/(16)=1<BR>\n" );
document.write( "d.(x^2)/(16)-(y^2)/(16)=1<BR>\n" );
document.write( "e.(x^2)/(256/17)-(y^2)/(16/17)=1<BR>\n" );
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document.write( "Standard form for hyperbola: (x-h)^2/a^2-(y-k)^2/b^2=1<BR>\n" );
document.write( "b.(x^2)/(16/17)-(y^2)/(256/17)=1<BR>\n" );
document.write( "This is a hyperbola with horizontal transverse axis. (opens sideways)<BR>\n" );
document.write( "Center: (0,0)<BR>\n" );
document.write( "a^2=16/17<BR>\n" );
document.write( "a=4/&#8730;17<BR>\n" );
document.write( "b^2=256/17<BR>\n" );
document.write( "b=16/&#8730;17<BR>\n" );
document.write( "Slope=b/a=(16/&#8730;17)/(4&#8730;17)=4 (matches given slope=±4)<BR>\n" );
document.write( "asymptotes:<BR>\n" );
document.write( "y=±4x<BR>\n" );
document.write( "ans:Equation b. is the correct choice<BR>\n" );
document.write( "see graph below as a visual check on the answer.\r<BR>\n" );
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document.write( "..<BR>\n" );
document.write( "y=±((17x^2/16-1)(256/17))^.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C%28%2817x%5E2%2F16-1%29%28256%2F17%29%29%5E.5%2C-%28%2817x%5E2%2F16-1%29%28256%2F17%29%29%5E.5%2C4x%2C-4x%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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