document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48380>Question 48380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please im asking for some help in solving the following. I would really and truly appreciate some help from you guys.Cheers.\r<BR>\n" );
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document.write( "1)What is the graph of the equation 6x2 - 24x - 5y2 - 10y - 11 = 0?<BR>\n" );
document.write( " a. parabola <BR>\n" );
document.write( " b. circle<BR>\n" );
document.write( " c. ellipse<BR>\n" );
document.write( " d. hyperbola\r<BR>\n" );
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document.write( "2)What is the graph of the equation 5x2 + 2y2 + 30x - 16y + 67 = 0?<BR>\n" );
document.write( " a. parabola<BR>\n" );
document.write( " b. circle<BR>\n" );
document.write( " c. ellipse<BR>\n" );
document.write( " d. hyperbola\r<BR>\n" );
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document.write( "3)What is the graph of the equation x2 + y2 - 8x + 6y + 24 = 0?<BR>\n" );
document.write( " a. parabola<BR>\n" );
document.write( " b. circle<BR>\n" );
document.write( " c. ellipse<BR>\n" );
document.write( " d. hyperbola\r<BR>\n" );
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document.write( "4)What is the graph of the equation x2 + 2x + 7 - y = 0?<BR>\n" );
document.write( " a. parabola<BR>\n" );
document.write( " b. circle<BR>\n" );
document.write( " c. ellipse<BR>\n" );
document.write( " d. hyperbola\r<BR>\n" );
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document.write( "5)Identify the solutions to the system of equations: <BR>\n" );
document.write( "x2 + y2 = 25<BR>\n" );
document.write( "16x2 + 25y2 = 400<BR>\n" );
document.write( " a. no solutions<BR>\n" );
document.write( " b. (5, 0)<BR>\n" );
document.write( " c. (-5, 0)<BR>\n" );
document.write( " d. (5, 0) and (-5, 0)\r<BR>\n" );
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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( " a. no solutions<BR>\n" );
document.write( " b. (4, 0)<BR>\n" );
document.write( " c. (-4, 0)<BR>\n" );
document.write( " d. (4, 0) and (-4, 0) \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32026 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=32026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)What is the graph of the equation 6x2 - 24x - 5y2 - 10y - 11 = 0?<BR>\n" );
document.write( "a. parabola <BR>\n" );
document.write( "b. circle<BR>\n" );
document.write( "c. ellipse<BR>\n" );
document.write( "d. hyperbola<BR>\n" );
document.write( "You are subtracting the squared variables, so the answer is (d.).<BR>\n" );
document.write( "2)What is the graph of the equation 5x2 + 2y2 + 30x - 16y + 67 = 0?<BR>\n" );
document.write( "a. parabola<BR>\n" );
document.write( "b. circle<BR>\n" );
document.write( "c. ellipse<BR>\n" );
document.write( "d. hyperbola<BR>\n" );
document.write( "You are adding the squared variables and the coefficients are different, so the answer is (c.).<BR>\n" );
document.write( "3)What is the graph of the equation x2 + y2 - 8x + 6y + 24 = 0?<BR>\n" );
document.write( "a. parabola<BR>\n" );
document.write( "b. circle<BR>\n" );
document.write( "c. ellipse<BR>\n" );
document.write( "d. hyperbola<BR>\n" );
document.write( "The coefficients are the same and both the squared variables are being added, so the answer is (b.).<BR>\n" );
document.write( "4)What is the graph of the equation x2 + 2x + 7 - y = 0?<BR>\n" );
document.write( "a. parabola<BR>\n" );
document.write( "b. circle<BR>\n" );
document.write( "c. ellipse<BR>\n" );
document.write( "d. hyperbola<BR>\n" );
document.write( "Since there is only one variable that is squared, this is (a.) the parabola.<BR>\n" );
document.write( "5)Identify the solutions to the system of equations: <BR>\n" );
document.write( "a. no solutions<BR>\n" );
document.write( "b. (5, 0)<BR>\n" );
document.write( "c. (-5, 0)<BR>\n" );
document.write( "d. (5, 0) and (-5, 0)<BR>\n" );
document.write( "x2 + y2 = 25 which can mean: y2 = 25 - x2<BR>\n" );
document.write( "16x2 + 25y2 = 400<BR>\n" );
document.write( "plug: 16x2 + 25(25 - x2) = 400<BR>\n" );
document.write( "16x2 + 625 - 25x2 = 400<BR>\n" );
document.write( "-9x2 = -225<BR>\n" );
document.write( "x2 = 25<BR>\n" );
document.write( "x = +- 5<BR>\n" );
document.write( "plug: x2 + y2 = 25<BR>\n" );
document.write( "y2 = 0<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "P(5,0) and P(-5,0)<BR>\n" );
document.write( "The answer is (d.).<BR>\n" );
document.write( "7)Identify the solutions to the system of equations:<BR>\n" );
document.write( "a. no solutions<BR>\n" );
document.write( "b. (4, 0)<BR>\n" );
document.write( "c. (-4, 0)<BR>\n" );
document.write( "d. (4, 0) and (-4, 0)<BR>\n" );
document.write( "y2 - x2 = 16 which means: y2 = x2 + 16<BR>\n" );
document.write( "x2 - y2 = 16<BR>\n" );
document.write( "plug:<BR>\n" );
document.write( "x2 - x2 - 16 = 16<BR>\n" );
document.write( "-16 = 16 No Solutions<BR>\n" );
document.write( "The answe is (a.). </SPAN>\n" );
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