document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195069>Question 1195069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this please:\r<BR>\n" );
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document.write( "The military is performing missile tests. A new missile is launched from the ground and it's path can be modelled by the quadratic equation y=-4(x-10)^2+400, where y is the missile's height in meters and x is the time in seconds. 10 seconds later, a second heat-seeking missile is launched to intercept and explode the first missile before it reaches the ground. The second missile's path can be modelled by the quadratic equation y=2(x-20)^2+300, where y is its height in meters and x is its time in seconds. At what time and height should the second missile reach and explode the first missile.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827412 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=-4(x-10)^2+400<BR>\n" );
document.write( "y=2(x-20)^2+300 -> should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+-2%28x-20%29%5E2%2B300 ALIGN=MIDDLE  ALT=\"y=+-2%28x-20%29%5E2%2B300\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solve the system\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4%28x-10%29%5E2%2B400 ALIGN=MIDDLE  ALT=\"y=-4%28x-10%29%5E2%2B400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+-2%28x-20%29%5E2%2B300 ALIGN=MIDDLE  ALT=\"y=+-2%28x-20%29%5E2%2B300\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The first and second missile will intersect at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > that makes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%28x-20%29%5E2%2B300=-4%28x-10%29%5E2%2B400 ALIGN=MIDDLE  ALT=\"-2%28x-20%29%5E2%2B300=-4%28x-10%29%5E2%2B400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2+%2B+80x+-500=80x+-+4+x%5E2 ALIGN=MIDDLE  ALT=\"-2x%5E2+%2B+80x+-500=80x+-+4+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........divide by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2 ALIGN=MIDDLE  ALT=\"+2\"   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+%2B+40x+-250=40x+-+2+x%5E2 ALIGN=MIDDLE  ALT=\"-x%5E2+%2B+40x+-250=40x+-+2+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+x%5E2-x%5E2+%2B+40x+-250-40x+=0 ALIGN=MIDDLE  ALT=\"2+x%5E2-x%5E2+%2B+40x+-250-40x+=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++-250+=0 ALIGN=MIDDLE  ALT=\"x%5E2++-250+=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++=250+ ALIGN=MIDDLE  ALT=\"x%5E2++=250+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=sqrt%28250+%29 ALIGN=MIDDLE  ALT=\"x+=sqrt%28250+%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+=15.81 ALIGN=MIDDLE  ALT=\"x+=15.81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4%2815.81-10%29%5E2%2B400=264.98 ALIGN=MIDDLE  ALT=\"y=-4%2815.81-10%29%5E2%2B400=264.98\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the point of intersection is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15.81 ALIGN=MIDDLE  ALT=\"15.81\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=264.98 ALIGN=MIDDLE  ALT=\"264.98\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "so, after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15.81 ALIGN=MIDDLE  ALT=\"15.81\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds the second missile will reach and explode the first missile at  height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+264.98m ALIGN=MIDDLE  ALT=\"+264.98m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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