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 #194951 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=194951\">put this solution on YOUR website!</A><BR><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 <BR>\n" );
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( "Use b for a+h to save typing<BR>\n" );
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document.write( "d^2 = (a-b)^2 + (1/a - 1/b)^2<BR>\n" );
document.write( "d^2 = (a-b)^2 + ((b-a)/ab)^2<BR>\n" );
document.write( "Using b didn't help much<BR>\n" );
document.write( "d^2 = h^2 + h^2/((a*(a+h))^2<BR>\n" );
document.write( "d^2 = h^2 + h^2/(a^2*(a+h)^2)<BR>\n" );
document.write( "d^2 = h^2*((a^2*(a+h)^2 + 1)/(a^2*(a+h)^2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+h%2Asqrt%28%28a%5E2%2A%28a%2Bh%29%5E2+%2B+1%29%2F%28a%5E2%2A%28a%2Bh%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"d+=+h%2Asqrt%28%28a%5E2%2A%28a%2Bh%29%5E2+%2B+1%29%2F%28a%5E2%2A%28a%2Bh%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It doesn't simplify.  I don't see the point of it.<BR>\n" );
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