document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2234>Question 2234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> More hard ones.\r<BR>\n" );
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document.write( "1. What is the midpoint of the segment joining (3, 5) and (-6, 11)?\r<BR>\n" );
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document.write( "2. What is the distance between the points (-7, 7) and (-4, 11)?\r<BR>\n" );
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document.write( "3. What is the distance between the points (-2sqrt7, 10) and (4sqrt7, 8)?\r<BR>\n" );
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document.write( "4. What is the directrix of the parabola with the equation y+3=1/10(x+2)^2 ?\r<BR>\n" );
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document.write( "5. What is the axis of symmetry of the parabola with the equation <BR>\n" );
document.write( "   x-4=1/4(y+1)^2 ?<BR>\n" );
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document.write( "6. Find the vertices of a hyperbola with the equation (x+3)^2-4(y-2)^2=4.\r<BR>\n" );
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document.write( "7. Find the foci of a hyperbola with the equation 9y2-72y-16x2-64x-64=0.\r<BR>\n" );
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document.write( "8. Find the slopes of the asymptotes of a hyperbola with the equation y^2=36+4x^2. \r<BR>\n" );
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document.write( "9. What is the graph of the equation 6x^2-24x-5y^2-10y-11=0 ?\r<BR>\n" );
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document.write( "10. What is the graph of the equation 5x^2+2y^2+30x-16y+67=0 ?\r<BR>\n" );
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document.write( "11. What is the graph of the equation x^2+y^2-8x+6y+24=0 ?\r<BR>\n" );
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document.write( "12. What is the graph of the equation x^2+2x+7-y=0 ?\r<BR>\n" );
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document.write( "13. Identify the solutions to the system of equations: <BR>\n" );
document.write( "    x^2 + y^2 = 25<BR>\n" );
document.write( "    16x^2 + 25y^2 = 400\r<BR>\n" );
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document.write( "14. Identify the solutions to the system of equations:<BR>\n" );
document.write( "    y^2 - x^2 = 16<BR>\n" );
document.write( "    x^2 - y^2 = 16 <BR>\n" );
document.write( " Thanks you guys. Your pretty much are helping me through school.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #929 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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/cgi-bin/show-face.mpl?user=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. midpoint is (-1.5, 8)...do x and y midpoints separately.\r<BR>\n" );
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document.write( "2. length of difference between x values is 3. Length of difference between y values is 4. These form 2 sides of a right-angles triangle, so the distance between the 2 points is given by Pythagoras' Theorem...answer is 5 (3,4,5 triangle).\r<BR>\n" );
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document.write( "3. diff in x=6. Diff in y=2, so disntance is sqrt(36+4) etc...\r<BR>\n" );
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document.write( "the graphs...put x=0..find y and vice versa. Differentiate to find turning points, where applicable.\r<BR>\n" );
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document.write( "13. sub eqn1 into 2 for the x^2...you get that y=0. Sub this into 1, you get that x is +5 or -5.\r<BR>\n" );
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document.write( "14. Again, eqn1 subbed into 2 gives x=+4 or -4. Either solution gives y=0.\r<BR>\n" );
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document.write( "jon. </SPAN>\n" );
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