document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=485840>Question 485840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the distance between the points (x,8) and (3,4) is 5 units. Then x is  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #332206 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=332206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the distance between the points (x,8) and (3,4) is 5 units. Then x is \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Distance between these 2 points is 5 units\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Using distance formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2+%2B+%28y%5B2%5D-y%5B1%5D%29%5E2%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2+%2B+%28y%5B2%5D-y%5B1%5D%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and with D = 5, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+3 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+x ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+4 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+8 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get: \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+=+sqrt%28%283+-+x%29%5E2+%2B+%284+-+8%29%5E2%29 ALIGN=MIDDLE  ALT=\"5+=+sqrt%28%283+-+x%29%5E2+%2B+%284+-+8%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+=+sqrt%289+-+6x+%2B+x%5E2+%2B+%28-+4%29%5E2%29 ALIGN=MIDDLE  ALT=\"5+=+sqrt%289+-+6x+%2B+x%5E2+%2B+%28-+4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+=+sqrt%28x%5E2+-+6x+%2B+25%29 ALIGN=MIDDLE  ALT=\"5+=+sqrt%28x%5E2+-+6x+%2B+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2+=+%28sqrt%28x%5E2+-+6x+%2B+25%29%29%5E2 ALIGN=MIDDLE  ALT=\"5%5E2+=+%28sqrt%28x%5E2+-+6x+%2B+25%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- Squaring both sides of equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+=+x%5E2+-+6x+%2B+25 ALIGN=MIDDLE  ALT=\"25+=+x%5E2+-+6x+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+6x+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+6x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x(x – 6) = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 0, or x – 6 = 0<BR>\n" );
document.write( "x = 0, or x = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore, x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%280_or_6%29 ALIGN=MIDDLE  ALT=\"highlight_green%280_or_6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--------<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "I believe you can do this!! If not, just use 0 in place of x in the ordered pair, then plug in each value into the distance formula to see if the distance is 5 units, as given.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then use 6 in place of x in the ordered pair, plug in each value into the distance formula to see if the distance is 5 units, as given.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Send comments and “thank-yous” to MathMadEzy@aol.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );