document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064977>Question 1064977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Point J is located at  (2,5) and point K is located at (4,19).\r<BR>\n" );
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document.write( "What are the coordinates of the point that partitions the directed line segment JK in a  3:2 ratio? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680086 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=680086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Line JK is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=7%28x-2%29 ALIGN=MIDDLE  ALT=\"y-5=7%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7x-14%2B5 ALIGN=MIDDLE  ALT=\"y=7x-14%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7x-9 ALIGN=MIDDLE  ALT=\"y=7x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using Distance Formula for \"the point that partitions the directed line segment JK in a  3:2 ratio\",<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-2%29%5E2%2B%28y-5%29%5E2%29%2Fsqrt%28%28x-4%29%5E2%2B%28y-19%29%5E2%29=3%2F2 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-2%29%5E2%2B%28y-5%29%5E2%29%2Fsqrt%28%28x-4%29%5E2%2B%28y-19%29%5E2%29=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute, simplify, and solve first for x.  Choose the solution which would be between J and K, and then evaluate y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28%28x-4%29%5E2%2B%28y-19%29%5E2%29=2sqrt%28%28x-2%29%5E2%2B%28y-5%29%5E2%29 ALIGN=MIDDLE  ALT=\"3sqrt%28%28x-4%29%5E2%2B%28y-19%29%5E2%29=2sqrt%28%28x-2%29%5E2%2B%28y-5%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=3sqrt%28%28x-4%29%5E2%2B%287x-9-19%29%5E2%29=2sqrt%28%28x-2%29%5E2%2B%287x-9-5%29%5E2%29 ALIGN=MIDDLE  ALT=\"3sqrt%28%28x-4%29%5E2%2B%287x-9-19%29%5E2%29=2sqrt%28%28x-2%29%5E2%2B%287x-9-5%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=9%28%28x-4%29%5E2%2B%287x-28%29%5E2%29=4%28%28x-2%29%2B%287x-14%29%29 ALIGN=MIDDLE  ALT=\"9%28%28x-4%29%5E2%2B%287x-28%29%5E2%29=4%28%28x-2%29%2B%287x-14%29%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=9%28%28x-4%29%5E2%2B7%28x-4%29%5E2%29=4%28%28x-2%29%5E2%2B7%28x-2%29%5E2%29 ALIGN=MIDDLE  ALT=\"9%28%28x-4%29%5E2%2B7%28x-4%29%5E2%29=4%28%28x-2%29%5E2%2B7%28x-2%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=9%2A8%28x-4%29%5E2=4%2A8%28x-2%29%5E2 ALIGN=MIDDLE  ALT=\"9%2A8%28x-4%29%5E2=4%2A8%28x-2%29%5E2\"   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=72%28x%5E2-8x%2B16%29=32%28x%5E2-128x%2B128%29 ALIGN=MIDDLE  ALT=\"72%28x%5E2-8x%2B16%29=32%28x%5E2-128x%2B128%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40x%5E2-448x%2B1024=0 ALIGN=MIDDLE  ALT=\"40x%5E2-448x%2B1024=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%285x%5E2-56x%2B128=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%285x%5E2-56x%2B128=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(Discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576=24%5E2 ALIGN=MIDDLE  ALT=\"576=24%5E2\"   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=x=%2856-24%29%2F10 ALIGN=MIDDLE  ALT=\"x=%2856-24%29%2F10\"   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=x=32%2F10 ALIGN=MIDDLE  ALT=\"x=32%2F10\"   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=highlight%28x=16%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=16%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finding y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7x-9 ALIGN=MIDDLE  ALT=\"y=7x-9\"   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=y=7%2816%2F5%29-45%2F5 ALIGN=MIDDLE  ALT=\"y=7%2816%2F5%29-45%2F5\"   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=y=%28112-45%29%2F5 ALIGN=MIDDLE  ALT=\"y=%28112-45%29%2F5\"   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=highlight%28y=67%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=67%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );