document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108620>Question 108620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ): HI!<BR>\n" );
document.write( "please help me with this.......... \r<BR>\n" );
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document.write( "length , area <BR>\n" );
document.write( "10 , 10<BR>\n" );
document.write( "9 , 18<BR>\n" );
document.write( "8 , 24 <BR>\n" );
document.write( "7 , 28 <BR>\n" );
document.write( "6 , 30<BR>\n" );
document.write( "5 , 30<BR>\n" );
document.write( "4 , 28<BR>\n" );
document.write( "3 , 24<BR>\n" );
document.write( "2 , 18<BR>\n" );
document.write( "1 , 10 \r<BR>\n" );
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document.write( "graph this and explain whether we can connect or not connect points \r<BR>\n" );
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document.write( "ps.<BR>\n" );
document.write( "i think the equation is <BR>\n" );
document.write( "L^2+11 and if i am wrong please correct me <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79223 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, you can connect the dots.<BR>\n" );
document.write( "Graphing the points you see that it is a parabola opening downward. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-4%2C+16%2C+-10%2C+40%2C+30.25-%28x-5.5%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-4%2C+16%2C+-10%2C+40%2C+30.25-%28x-5.5%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The x coordinate of the vertex (maximum value) is midpoint between 5 and 6 or 5.5.<BR>\n" );
document.write( "The equation has the form <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-k=a%28L-h%29%5E2 ALIGN=MIDDLE  ALT=\"A-k=a%28L-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where (h,k) are the (x,y) coordinates of the vertex. <BR>\n" );
document.write( "We need to solve for a and k. <BR>\n" );
document.write( "Use two values for (L,A) that you have: (10,10) and (9,18)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-k=a%28L-5.5%29%5E2 ALIGN=MIDDLE  ALT=\"A-k=a%28L-5.5%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=10-k=a%2810-5.5%29%5E2 ALIGN=MIDDLE  ALT=\"10-k=a%2810-5.5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-k=20.25a ALIGN=MIDDLE  ALT=\"10-k=20.25a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18-k=a%289-5.5%29%5E2 ALIGN=MIDDLE  ALT=\"18-k=a%289-5.5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18-k=12.25a ALIGN=MIDDLE  ALT=\"18-k=12.25a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting eq.2 from eq. 1 gives<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-k-%2818-k%29=20.25a-12.25a ALIGN=MIDDLE  ALT=\"10-k-%2818-k%29=20.25a-12.25a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8=8a ALIGN=MIDDLE  ALT=\"-8=8a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-1 ALIGN=MIDDLE  ALT=\"a=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using that value in 1.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-k=20.25a ALIGN=MIDDLE  ALT=\"10-k=20.25a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-k=20.25%28-1%29 ALIGN=MIDDLE  ALT=\"10-k=20.25%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=20.25%2B10 ALIGN=MIDDLE  ALT=\"k=20.25%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=30.25 ALIGN=MIDDLE  ALT=\"k=30.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your equation then becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-k=a%28L-h%29%5E2 ALIGN=MIDDLE  ALT=\"A-k=a%28L-h%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=A-30.25=-%28L-5.5%29%5E2 ALIGN=MIDDLE  ALT=\"A-30.25=-%28L-5.5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=30.25-%28L-5.5%29%5E2 ALIGN=MIDDLE  ALT=\"A=30.25-%28L-5.5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check your answers. <BR>\n" );
document.write( "A(10)= 10<BR>\n" );
document.write( "A(9) = 18<BR>\n" );
document.write( "A(8) = 24 <BR>\n" );
document.write( "A(7) = 28 <BR>\n" );
document.write( "A(6) = 30<BR>\n" );
document.write( "A(5) = 30<BR>\n" );
document.write( "A(4) = 28<BR>\n" );
document.write( "A(3) = 24<BR>\n" );
document.write( "A(2) = 18<BR>\n" );
document.write( "A(1) = 10  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );