document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48322>Question 48322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please im asking for your guys devine help.Your assisstance would be very very important to me.So please offer me a helping hand.\r<BR>\n" );
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document.write( "1)Find the foci of an ellipse with the equation 7(x - 2)2 + 3(y - 2)2 = 21.<BR>\n" );
document.write( "2)Find the slopes of the asymptotes of a hyperbola with the equation y2 = 36 + 4x2.<BR>\n" );
document.write( "3)What is the graph of the equation 6x2 - 24x - 5y2 - 10y - 11 = 0?<BR>\n" );
document.write( "4)What is the graph of the equation 5x2 + 2y2 + 30x - 16y + 67 = 0?<BR>\n" );
document.write( "5)What is the graph of the equation x2 + y2 - 8x + 6y + 24 = 0?<BR>\n" );
document.write( "6)What is the graph of the equation x2 + 2x + 7 - y = 0?<BR>\n" );
document.write( "7)Identify the solutions to the system of equations:<BR>\n" );
document.write( "y2 - x2 = 16<BR>\n" );
document.write( "x2 - y2 = 16 <BR>\n" );
document.write( "8)Identify the solutions to the system of equations: <BR>\n" );
document.write( "x2 + y2 = 25<BR>\n" );
document.write( "16x2 + 25y2 = 400 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31980 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=31980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Find the foci of an ellipse with the equation<BR>\n" );
document.write( "7(x - 2)2 + 3(y - 2)2 = 21<BR>\n" );
document.write( "(x - 2)^2/3 + (y - 2)^2/7 = 1<BR>\n" );
document.write( "a = 7<BR>\n" );
document.write( "b = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2+-+b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2+-+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+49+-+9 ALIGN=MIDDLE  ALT=\"c%5E2+=+49+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+2%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"c+=+2%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Vertical ellipse, so the increasement is due to 'y'<BR>\n" );
document.write( "Center: (2,2)<BR>\n" );
document.write( "Foci: (2,2+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and (2,2-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "2)Find the slopes of the asymptotes of a hyperbola with the equation<BR>\n" );
document.write( "y^2 = 36 + 4x^2<BR>\n" );
document.write( "y^2 - 4x^2 = 36<BR>\n" );
document.write( "y^2/36 - x^2/9 = 1<BR>\n" );
document.write( "Vertical hyperbola, so the slope of the asymptotes = +- a/b<BR>\n" );
document.write( "a = 36 and b = 9<BR>\n" );
document.write( "Slope = +- 36/9 = +- 4<BR>\n" );
document.write( "3)What is the graph of the equation<BR>\n" );
document.write( "6x^2 - 24x - 5y^2 - 10y - 11 = 0<BR>\n" );
document.write( "(6x^2 - 24x) + (-5y^2 - 10y) = 11<BR>\n" );
document.write( "6(x^2 - 4x) - 5(y^2 + 2y) = 11<BR>\n" );
document.write( "6(x - 2)^2 - 5(y + 1)^2 = 11 + 24 + 5 = 40<BR>\n" );
document.write( "(x - 2)^2/(20/3) - (y + 1)^2/8 = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Csqrt%28-8+%2B+8%2A%28x+-+2%29%5E2%2F%2820%2F3%29%29-1%2C-sqrt%28-8+%2B+8%2A%28x+-+2%29%5E2%2F%2820%2F3%29%29-1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4)What is the graph of the equation<BR>\n" );
document.write( "5x^2 + 2y^2 + 30x - 16y + 67 = 0<BR>\n" );
document.write( "5x^2 + 30x + 2y^2 - 16y = -67<BR>\n" );
document.write( "(5x^2 + 30x) + (2y^2 - 16y) = -67<BR>\n" );
document.write( "5(x^2 + 6x) + 2(y^2 - 8y) = -67<BR>\n" );
document.write( "5(x + 3)^2 + 2(y - 4)^2 = -67 + 45 + 32 = 10<BR>\n" );
document.write( "(x + 3)^2/2 + (y - 4)^2/5 = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Csqrt%285+-+5%2A%28x+%2B+3%29%5E2%2F2%29+%2B+4%2C-sqrt%285+-+5%2A%28x+%2B+3%29%5E2%2F2%29+%2B+4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5)What is the graph of the equation<BR>\n" );
document.write( "x^2 + y^2 - 8x + 6y + 24 = 0<BR>\n" );
document.write( "x^2 - 8x + y^2 + 6y = -24<BR>\n" );
document.write( "(x - 4)^2 + (y + 3)^2 = -24 + 16 + 9 = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Csqrt%281+-+%28x+-+4%29%5E2%29+-+3%2C-sqrt%281+-+%28x+-+4%29%5E2%29+-+3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6)What is the graph of the equation<BR>\n" );
document.write( "x^2 + 2x + 7 - y = 0<BR>\n" );
document.write( "(x + 1)^2 = y - 6<BR>\n" );
document.write( "(x + 1)^2 + 6 = y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C%28x+%2B+1%29%5E2+%2B+6%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C%28x+%2B+1%29%5E2+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7)Identify the solutions to the system of equations:<BR>\n" );
document.write( "y^2 - x^2 = 16 can mean: y^2 = x^2 + 16<BR>\n" );
document.write( "x^2 - y^2 = 16 cane mean when plugged: x^2 - x^2 - 16 = 16 which is -16 = 16<BR>\n" );
document.write( "No Solutions<BR>\n" );
document.write( "8)Identify the solutions to the system of equations: <BR>\n" );
document.write( "x^2 + y^2 = 25 which can mean: x^2 = 25 - y^2<BR>\n" );
document.write( "16x^2 + 25y^2 = 400 plug~~~><BR>\n" );
document.write( "16(25 - y^2) + 25y^2 = 400<BR>\n" );
document.write( "400 - 16y^2 + 25y^2 = 400<BR>\n" );
document.write( "9y^2 = 0<BR>\n" );
document.write( "y^2 = 0<BR>\n" );
document.write( "y = +- 0<BR>\n" );
document.write( "plug~~~><BR>\n" );
document.write( "x^2 + y^2 = 25<BR>\n" );
document.write( "x^2 = 25<BR>\n" );
document.write( "x = +- 5<BR>\n" );
document.write( "Solutions: (0,5) and (0,-5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Csqrt%2825+-+x%5E2%29%2C-sqrt%2825+-+x%5E2%29%2Csqrt%28%28400+-+16x%5E2%29%2F25%29%2C-sqrt%28%28400+-+16x%5E2%29%2F25%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );