document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264994>Question 264994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the distance between the pair of points and find the midpoint of the segment having the poinits as endpoints. (a, 1/a) and (a+h, 1/a+h) /= divided by\r<BR>\n" );
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document.write( "I figured out the midpoint (2a+h/a, 2a+h/2a(a+h) but I am having trouble with the distance: I got this far, I don't know what to do next. <BR>\n" );
document.write( "d= square root (a+h-a)^2+ 1/a+h-1/a)^2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194952 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=194952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The midpoint should be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\frac{2a+h}{2} \ , \ \frac{2a+h}{2a(a+h)}\right)\">\r<BR>\n" );
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document.write( "Distance:\r<BR>\n" );
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document.write( "I'll start where you left off.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28a%2Bh-a%29%5E2%2B%281%2F%28a%2Bh%29-1%2Fa%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28a%2Bh-a%29%5E2%2B%281%2F%28a%2Bh%29-1%2Fa%29%5E2%29\"   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=d=sqrt%28%28a%2Bh-a%29%5E2%2B%28a%2F%28a%28a%2Bh%29%29-1%2Fa%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28a%2Bh-a%29%5E2%2B%28a%2F%28a%28a%2Bh%29%29-1%2Fa%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fa ALIGN=MIDDLE  ALT=\"a%2Fa\"   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=d=sqrt%28%28a%2Bh-a%29%5E2%2B%28a%2F%28a%28a%2Bh%29%29-%28a%2Bh%29%2F%28a%28a%2Bh%29%29%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bh%29%2F%28a%2Bh%29 ALIGN=MIDDLE  ALT=\"%28a%2Bh%29%2F%28a%2Bh%29\"   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=d=sqrt%28h%5E2%2B%28%28a-%28a%2Bh%29%29%2F%28a%28a%2Bh%29%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28h%5E2%2B%28%28a-%28a%2Bh%29%29%2F%28a%28a%2Bh%29%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28h%5E2%2B%28%28a-a-h%29%2F%28a%28a%2Bh%29%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28h%5E2%2B%28%28a-a-h%29%2F%28a%28a%2Bh%29%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28h%5E2%2B%28-h%2F%28a%28a%2Bh%29%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28h%5E2%2B%28-h%2F%28a%28a%2Bh%29%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28h%5E2%2Bh%5E2%2F%28a%5E2%28a%2Bh%29%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28h%5E2%2Bh%5E2%2F%28a%5E2%28a%2Bh%29%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square the second term.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28h%5E2a%5E2%28a%2Bh%29%5E2%29%2F%28a%5E2%28a%2Bh%29%5E2%29%2Bh%5E2%2F%28a%5E2%28a%2Bh%29%5E2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2 ALIGN=MIDDLE  ALT=\"h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%28a%2Bh%29%5E2%29%2F%28a%5E2%28a%2Bh%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%28a%2Bh%29%5E2%29%2F%28a%5E2%28a%2Bh%29%5E2%29\"   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=d=sqrt%28%28h%5E2a%5E2%28a%2Bh%29%5E2%2Bh%5E2%29%2F%28a%5E2%28a%2Bh%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28h%5E2a%5E2%28a%2Bh%29%5E2%2Bh%5E2%29%2F%28a%5E2%28a%2Bh%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "So the distance is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28h%5E2a%5E2%28a%2Bh%29%5E2%2Bh%5E2%29%2F%28a%5E2%28a%2Bh%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28h%5E2a%5E2%28a%2Bh%29%5E2%2Bh%5E2%29%2F%28a%5E2%28a%2Bh%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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