document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166143>Question 166143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the point(x,4) is a square root of 162 units from (-6,-5). What is the value of abscissa x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123155 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=123155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance ALIGN=MIDDLE  ALT=\"Distance\"   DISABLED_style= \"max-width:90%; height:auto;\" > from 2 set of points:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28D%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28D%5E2=%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;\" ><BR>\n" );
document.write( "Given: points ------> (x,4)(-6,-5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance=sqrt%28162%29 ALIGN=MIDDLE  ALT=\"Distance=sqrt%28162%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subst.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28162%29%29%5E2=%28-6-x%29%5E2%2B%28-5-4%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28162%29%29%5E2=%28-6-x%29%5E2%2B%28-5-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, cancels out \"square root\" on the left term<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162=x%5E2%2B12x%2B36%2B%28-9%29%5E2 ALIGN=MIDDLE  ALT=\"162=x%5E2%2B12x%2B36%2B%28-9%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=x%5E2%2B12x%2B36%2B81-162=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x%2B36%2B81-162=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B12x-45=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x-45=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, SOLVE BY PYTH. THEOREM<BR>\n" );
document.write( "where----<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=1%2Cb=12%2Cc=-45%29 ALIGN=MIDDLE  ALT=\"system%28a=1%2Cb=12%2Cc=-45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-12%2B-sqrt%2812%5E2-4%2A1%2A-45%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x=%28-12%2B-sqrt%2812%5E2-4%2A1%2A-45%29%29%2F%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-12sqrt%28144%2B180%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-12sqrt%28144%2B180%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-12%2B-sqrt%28324%29%29%2F2=%28-12%2B-18%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-12%2B-sqrt%28324%29%29%2F2=%28-12%2B-18%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2 Values:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-12%2B18%29%2F2=6%2F2=cross%286%293%2Fcross%282%291 ALIGN=MIDDLE  ALT=\"x=%28-12%2B18%29%2F2=6%2F2=cross%286%293%2Fcross%282%291\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, abscissa<BR>\n" );
document.write( "Also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-12-18%29%2F2=-30%2F2=cross%28-30%2915%2Fcross%282%29 ALIGN=MIDDLE  ALT=\"x=%28-12-18%29%2F2=-30%2F2=cross%28-30%2915%2Fcross%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-15 ALIGN=MIDDLE  ALT=\"x=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We'll use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlighted ALIGN=MIDDLE  ALT=\"highlighted\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> x=3, for the graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-7%2C7%2C-7%2C7%2Cgrid%281%29%2Cgraph%28300%2C300%2C-7%2C7%2C-7%2C7%29%2Cred%28circle%28-6%2C-5%2C.20%29%29%2Cred%28circle%283%2C4%2C.20%29%29%2Cblue%28line%28-6%2C-5%2C3%2C4%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >---> See the BLUE Line @ points (3,4) & (-6,-5) that has distance of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28162%29 ALIGN=MIDDLE  ALT=\"sqrt%28162%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "With points (3,4) & (-6,-5), will it equate to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance=sqrt%28162%29 ALIGN=MIDDLE  ALT=\"Distance=sqrt%28162%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >? Let's see:<BR>\n" );
document.write( "With our <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance ALIGN=MIDDLE  ALT=\"Distance\"   DISABLED_style= \"max-width:90%; height:auto;\" > formula, we'll find 1st <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D ALIGN=MIDDLE  ALT=\"x%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-7%2C7%2C-7%2C7%2Cgrid%281%29%2Cgraph%28300%2C300%2C-7%2C7%2C-7%2C7%29%2Cblue%28circle%28-6%2C-5%2C.20%29%29%2Cblue%28circle%283%2C-5%2C.20%29%29%2Cblue%28line%28-6%2C-5%2C3%2C4%29%29%2Cred%28line%283%2C-5%2C-6%2C-5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---> As you see on the graph, <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=-6 ALIGN=MIDDLE  ALT=\"x%5B1%5D=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, good!<BR>\n" );
document.write( "Next we find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D ALIGN=MIDDLE  ALT=\"y%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D ALIGN=MIDDLE  ALT=\"y%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and as we see the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-7%2C7%2C-7%2C7%2Cgrid%281%29%2Cgraph%28300%2C300%2C-7%2C7%2C-7%2C7%29%2Cblue%28circle%283%2C-5%2C.20%29%29%2Cblue%28circle%283%2C4%2C.20%29%29%2Cgreen%28line%283%2C4%2C3%2C-5%29%29%2Cblue%28line%283%2C4%2C-6%2C-5%29%29%2Cred%28line%283%2C-5%2C-6%2C-5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---> As you can see, <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;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D=-5 ALIGN=MIDDLE  ALT=\"y%5B1%5D=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "By then, going back to our formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%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=%28sqrt%28162%29%29%5E2=%283-%28-6%29%29%5E2%2B%284-%28-5%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28162%29%29%5E2=%283-%28-6%29%29%5E2%2B%284-%28-5%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=162=%283%2B6%29%5E2%2B%284%2B5%29%5E2 ALIGN=MIDDLE  ALT=\"162=%283%2B6%29%5E2%2B%284%2B5%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=162=9%5E2%2B9%5E2=81%2B81 ALIGN=MIDDLE  ALT=\"162=9%5E2%2B9%5E2=81%2B81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162=162 ALIGN=MIDDLE  ALT=\"162=162\"   DISABLED_style= \"max-width:90%; height:auto;\" >, good!<BR>\n" );
document.write( "*Our dimensions are right.<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );