document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=349019>Question 349019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the proportion 5/h-k/14, what happens to the value of h as the value of k increases....please explain....Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249465 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=249465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fh=k%2F14 ALIGN=MIDDLE  ALT=\"5%2Fh=k%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fh=k%2F14 ALIGN=MIDDLE  ALT=\"5%2Fh=k%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A14=kh ALIGN=MIDDLE  ALT=\"5%2A14=kh\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70=kh ALIGN=MIDDLE  ALT=\"70=kh\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=kh=70 ALIGN=MIDDLE  ALT=\"kh=70\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the equation.\r<BR>\n" );
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document.write( "Now if we increase 'k', then will <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=kh=70 ALIGN=MIDDLE  ALT=\"kh=70\"   DISABLED_style= \"max-width:90%; height:auto;\" > if we leave 'h' alone (ie don't change 'h')? The answer is \"no\". So in order for the equation to remain true, the value of 'h' must decrease while 'k' increases\r<BR>\n" );
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document.write( "Eg: Let k=10 and h=7. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=kh=10%2A7=70 ALIGN=MIDDLE  ALT=\"kh=10%2A7=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now if k=14 (k just increased by 4), then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=70%2F14=5 ALIGN=MIDDLE  ALT=\"h=70%2F14=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that 'h' decreased by 2.\r<BR>\n" );
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document.write( "So in summary, as 'k' increases, 'h' decreases. \r<BR>\n" );
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document.write( "Note: This works the other way as well. If 'h' were to increase, then 'k' will decrease to keep the equation true.\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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