document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=738201>Question 738201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the coordinates of the point 3 units from the y-axis at a distance &#8730;5 from (5,3)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450727 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=450727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This would be difficult to use the system to show a drawing and graph, but I am handling it like:\r<BR>\n" );
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document.write( "The line x=3, y=infinity, <BR>\n" );
document.write( "A segment with endpoint at (5,3) and perpendicular to the line x=3, will be seen to intersect the line x=3 AT the point (3, 3).  \r<BR>\n" );
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document.write( "EITHER of two points are also on the line x=3, and each of these is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the point (5, 3), but we do not yet know the y coordinate for this point.  <BR>\n" );
document.write( "... BUT we DO have a triangle, actually a  RIGHT triangle and we can find the length up or down from point (3, 3) using pythagorean theorem.\r<BR>\n" );
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document.write( "From (3, 3) to (5, 3) is 2 units.<BR>\n" );
document.write( "From (5, 3) to (3, u) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units.  <BR>\n" );
document.write( "From (3, u) to (3, 3) is h<BR>\n" );
document.write( "Let's find h using pythagorean theorem.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B2%5E2=%28sqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"h%5E2%2B2%5E2=%28sqrt%285%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=1%29 ALIGN=MIDDLE  ALT=\"highlight%28h=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore, u=3-1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=2 ALIGN=MIDDLE  ALT=\"u=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "ANSWER: The coordinate pair for the specified point is then either (3, 2) or (3, 4). </SPAN>\n" );
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