document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051947>Question 1051947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Shade the region satisfying each given inequality .\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%3E=1%2Bsqrt%289-x%5E2%29+ ALIGN=MIDDLE  ALT=\"+y%3E=1%2Bsqrt%289-x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667386 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=667386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Work through the algebraic steps to find  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y-1%29%5E2%3E=9 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y-1%29%5E2%3E=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and make a sketch of this circle centered at (0,1) with radius of 3.  BETWEEN the x-intercepts, y values will be positive or 0.\r<BR>\n" );
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document.write( "What are the x-intercepts, where y=0?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0=sqrt%289-x%5E2%29%2B1 ALIGN=MIDDLE  ALT=\"y=0=sqrt%289-x%5E2%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=sqrt%289-x%5E2%29 ALIGN=MIDDLE  ALT=\"-1=sqrt%289-x%5E2%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%5E2-9=-1 ALIGN=MIDDLE  ALT=\"x%5E2-9=-1\"   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=8 ALIGN=MIDDLE  ALT=\"x%5E2=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0%2B-+2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"x=0%2B-+2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Some steps here were omitted.\r<BR>\n" );
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document.write( "Between inclusive, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2sqrt%282%29 ALIGN=MIDDLE  ALT=\"-2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%282%29 ALIGN=MIDDLE  ALT=\"2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, y will be positive or 0.  You would shade the region ABOVE the circle for x values between and including those two values.\r<BR>\n" );
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document.write( "<b>Note that neither of these graphs look the way they need to be.  You want to shade ONLY the region between the x-intercepts ABOVE AND INCLUDING the circle.</b>  (My use of the site's code is just not right, or I do not yet know this code well enough.)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2%2B%28y-1%29%5E2%3E=9%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2%2B%28y-1%29%5E2%3E=9%29\"   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=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cy-1%3E=sqrt%289-x%5E2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cy-1%3E=sqrt%289-x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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