document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194333>Question 194333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a right triangle has one vertex on the graph of y = x^2 at (x,y),another at the origin, and the third on the positive y- axis at (0,y). express the area A of the triangle as a function of x. for what  value of x will be the area of the triangle be equal to 30 square units?\r<BR>\n" );
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document.write( "please help me to solve!!!!<BR>\n" );
document.write( "please i really don't know how to solve!!!<BR>\n" );
document.write( "please.....help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145842 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=145842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, let's draw a picture:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/step1-2.png\">\r<BR>\n" );
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document.write( "Now since the point (x,y) is \"x\" units to the right and \"y\" units up, this means that the base of the triangle is \"x\" units long and the height is \"y\" units high. Now let's label the drawing:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/step2-2.png\">\r<BR>\n" );
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document.write( "But remember, we let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So replace \"y\" with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/step3-1.png\">\r<BR>\n" );
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document.write( "Now focusing on just the triangle, we get the following\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/step4.png\">\r<BR>\n" );
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document.write( "So the base is \"x\" and the height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now recall (or look up), the area of any triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28bh%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28bh%29%2F2\"   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=A=%28bh%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28bh%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given formula \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28x%2Ax%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28x%2Ax%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=x ALIGN=MIDDLE  ALT=\"b=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=x%5E2 ALIGN=MIDDLE  ALT=\"h=x%5E2\"   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=A=x%5E3%2F2 ALIGN=MIDDLE  ALT=\"A=x%5E3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So the area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%5E3%2F2 ALIGN=MIDDLE  ALT=\"A=x%5E3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\"for what value of x will be the area of the triangle be equal to 30 square units?\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%5E3%2F2 ALIGN=MIDDLE  ALT=\"A=x%5E3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30=x%5E3%2F2 ALIGN=MIDDLE  ALT=\"30=x%5E3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=30 ALIGN=MIDDLE  ALT=\"A=30\"   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=30%2A2=x%5E3 ALIGN=MIDDLE  ALT=\"30%2A2=x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60=x%5E3 ALIGN=MIDDLE  ALT=\"60=x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=60 ALIGN=MIDDLE  ALT=\"x%5E3=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=root%283%2C60%29 ALIGN=MIDDLE  ALT=\"x=root%283%2C60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x \approx 3.91487\"> Approximate the right side with a calculator.\r<BR>\n" );
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document.write( "So the answer is approximately <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x \approx 3.91487\"> </SPAN>\n" );
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