document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59974>Question 59974</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra Concepts and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of \"a\" if the points are the indicated distances apart.\r<BR>\n" );
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document.write( "(2,a) and (-3,-2) when  d = square root of 34 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41182 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=41182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of \"a\" if the points are the indicated distances apart.\r<BR>\n" );
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document.write( "(2,a) and (-3,-2) when  d = square root of 34<BR>\n" );
document.write( "The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28d=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x1,y1)=(2,a), (x2,y2)=(-3,-2) d=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2834%29 ALIGN=MIDDLE  ALT=\"sqrt%2834%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2834%29=sqrt%28%28-3-2%29%5E2%2B%28-2-a%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2834%29=sqrt%28%28-3-2%29%5E2%2B%28-2-a%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2834%29%29%5E2=%28sqrt%28%28-5%29%5E2%2B%28-2-a%29%5E2%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%2834%29%29%5E2=%28sqrt%28%28-5%29%5E2%2B%28-2-a%29%5E2%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=34=%28-5%29%5E2%2B%28-2-a%29%5E2 ALIGN=MIDDLE  ALT=\"34=%28-5%29%5E2%2B%28-2-a%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=34=25%2B4%2B4a%2Ba%5E2 ALIGN=MIDDLE  ALT=\"34=25%2B4%2B4a%2Ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=29%2B4a%2Ba%5E2 ALIGN=MIDDLE  ALT=\"34=29%2B4a%2Ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-34%2B34=-34%2B29%2B4a%2Ba%5E2 ALIGN=MIDDLE  ALT=\"-34%2B34=-34%2B29%2B4a%2Ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-5%2B4a%2Ba%5E2 ALIGN=MIDDLE  ALT=\"0=-5%2B4a%2Ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Set = to 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B4a-5=0 ALIGN=MIDDLE  ALT=\"a%5E2%2B4a-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  factor<BR>\n" );
document.write( "(a+5)(a-1)=0 Use the zero product property.<BR>\n" );
document.write( "a+5=0  and a-1=0<BR>\n" );
document.write( "a+5-5=0-5 and a-1+1=0+1<BR>\n" );
document.write( "a=-5 and a=1<BR>\n" );
document.write( "There's two possibilities.  Use the distance formula and see that both have a distance of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2834%29 ALIGN=MIDDLE  ALT=\"sqrt%2834%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );