document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205820>Question 1205820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A point T on a segment with endpoints D (1, 4) and F (7, 1) partitions the segment in a 3:1 ratio. Find T. You must show all work to receive credit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842862 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52802)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "I want to point out a significant flaw of this formulation.\r<BR>\n" );
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document.write( "Under this formulation, there are TWO different ways to make partition of the segment <BR>\n" );
document.write( "in the 3:1 ratio.\r<BR>\n" );
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document.write( "One partition is 3:1 in direction from D to F,<BR>\n" );
document.write( "and totally different partition  is 3:1 in direction from F to D.\r<BR>\n" );
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document.write( "THEREFORE, an accurate mathematical formulation must indicate the direction of a partition.\r<BR>\n" );
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document.write( "Without it, the problem is a garbage for trash can.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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