document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972336>Question 972336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hostile army fires a missile at you. The path of the missile has a function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%5E2%2B24x-40 ALIGN=MIDDLE  ALT=\"y=-2x%5E2%2B24x-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the number of seconds after the missile is fired and y is the height of the missile in 1000s of feet. You fire an intercepting missile whose path has the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%5E2%2B8x ALIGN=MIDDLE  ALT=\"y=-2x%5E2%2B8x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. How long after the enemy missile is fired do they collide? How high are the missiles when the collide? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594723 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hostile army fires a missile at you. The path of the missile has a function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%5E2%2B24x-40 ALIGN=MIDDLE  ALT=\"y=-2x%5E2%2B24x-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the number of seconds after the missile is fired and y is the height of the missile in 1000s of feet. You fire an intercepting missile whose path has the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%5E2%2B8x ALIGN=MIDDLE  ALT=\"y=-2x%5E2%2B8x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. How long after the enemy missile is fired do they collide? How high are the missiles when the collide?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "in order for the missiles to collide, they must both be at the same height.  Therefore, the y's are equal.  So we can set the two equations equal to each other and solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2%2B24x-40+=+-2x%5E2%2B8x+ ALIGN=MIDDLE  ALT=\"-2x%5E2%2B24x-40+=+-2x%5E2%2B8x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x-40+=+8x+ ALIGN=MIDDLE  ALT=\"24x-40+=+8x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x+=+8x%2B40+ ALIGN=MIDDLE  ALT=\"24x+=+8x%2B40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x+=+40+ ALIGN=MIDDLE  ALT=\"16x+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+40%2F16+ ALIGN=MIDDLE  ALT=\"x+=+40%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2.5+ ALIGN=MIDDLE  ALT=\"x+=+2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds<BR>\n" );
document.write( "How long after the enemy missile is fired do they collide? 2.5 seconds<BR>\n" );
document.write( "How high are the missiles when the collide?<BR>\n" );
document.write( "solve for y with either of the two equations with x=2.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%5E2%2B8x ALIGN=MIDDLE  ALT=\"y=-2x%5E2%2B8x\"   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%282.5%29%5E2%2B8%282.5%29 ALIGN=MIDDLE  ALT=\"y=-2%282.5%29%5E2%2B8%282.5%29\"   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%286.25%29%2B20 ALIGN=MIDDLE  ALT=\"y=-2%286.25%29%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-12.5%2B20 ALIGN=MIDDLE  ALT=\"y=-12.5%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7.5 ALIGN=MIDDLE  ALT=\"y=7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > thousands of feet<BR>\n" );
document.write( "answer: 7500 feet </SPAN>\n" );
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