document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019411>Question 1019411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Water issuing from the end of a horizontal pipe 30 ft. above the ground describes a parabolic curve, where the vertex is at the end of the pipe. At a point 10 ft. below the pipe, the water is 12 ft. from the vertical line through the end of the pipe. How far from this vertical line will the water strike the ground? (Show your drawing) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635329 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=635329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Standard Form equation for a parabola, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<i>Water issuing from the end of a horizontal pipe 30 ft. above the ground describes a parabolic curve, where the vertex is at the end of the pipe.</i><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-0%29%5E2%2B30 ALIGN=MIDDLE  ALT=\"y=a%28x-0%29%5E2%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<i>At a point 10 ft. below the pipe, the water is 12 ft. from the vertical line through the end of the pipe. </i><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30-10=a%2812-0%29%5E2%2B30 ALIGN=MIDDLE  ALT=\"30-10=a%2812-0%29%5E2%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20=144a%2B30 ALIGN=MIDDLE  ALT=\"20=144a%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144a=-10 ALIGN=MIDDLE  ALT=\"144a=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-10%2F144 ALIGN=MIDDLE  ALT=\"a=-10%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-5%2F72 ALIGN=MIDDLE  ALT=\"a=-5%2F72\"   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=highlight%28highlight_green%28y=-%285%2F72%29x%5E2%2B30%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight_green%28y=-%285%2F72%29x%5E2%2B30%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The question means, find x for y=0.\r<BR>\n" );
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document.write( "A graph of this could be either the left branch or the right branch of the parabola, to correspond with the representation of the situation for the end of the hose being the vertex (a maximum point).  The equation is done in standard form, so easier to graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-30%2C30%2C-10%2C50%2C-%285%2F72%29x%5E2%2B30%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-30%2C30%2C-10%2C50%2C-%285%2F72%29x%5E2%2B30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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