document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67368>Question 67368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1 (10 points) \r<BR>\n" );
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document.write( "Find the distance between the two points (3,-4) and (-4,5) \r<BR>\n" );
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document.write( "Question 2 (10 points) \r<BR>\n" );
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document.write( "The idea of eccentricity is associated to which one of the four types of conic sections? \r<BR>\n" );
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document.write( "Question 3 (5 points) \r<BR>\n" );
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document.write( "Each of the next four questions refer to the parabola y = 5(x+2)^2 + 7. \r<BR>\n" );
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document.write( "Find the vertex of the parabola \r<BR>\n" );
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document.write( "Question 4 (5 points) \r<BR>\n" );
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document.write( "Find the focus of the parabola <BR>\n" );
document.write( "Question 5 (5 points) \r<BR>\n" );
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document.write( "The directrix line of the parabola is the line y = \r<BR>\n" );
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document.write( "Question 6 (5 points) \r<BR>\n" );
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document.write( "The length of the latus rectum of this parabola is \r<BR>\n" );
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document.write( "Question 7 (20 points) \r<BR>\n" );
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document.write( "Find the standard form of the circle x^2 + y^2 + 2x - 6y - 6 = 0. \r<BR>\n" );
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document.write( "Question 8 (5 points)\r<BR>\n" );
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document.write( "For the circle x^2 + y^2 + 2x - 6y - 6 = 0 of the previous problem, find the center. \r<BR>\n" );
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document.write( "Question 9 (5 points)<BR>\n" );
document.write( "For the same circle x^2 + y^2 + 2x - 6y - 6 = 0 of the previous two questions, find the radius. \r<BR>\n" );
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document.write( "Question 10 (20 points) \r<BR>\n" );
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document.write( "Find the standard form of the ellipse given by the equation x^2 + 25y^2 -2x + 150y + 201 = 0. \r<BR>\n" );
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document.write( "Question 11 (5 points) \r<BR>\n" );
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document.write( "Here is the equation of an ellipse in standard form: (1/16)(x + 2)^2 + (1/9)(y - 5)^2 = 1 . Each of the next four questions refer to this ellipse. Find the center of the ellipse. \r<BR>\n" );
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document.write( "Question 12 (5 points)\r<BR>\n" );
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document.write( "Find the foci of the ellipse.\r<BR>\n" );
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document.write( "Question 13 (5 points)\r<BR>\n" );
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document.write( "Find the length of the major axis. \r<BR>\n" );
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document.write( "Question 14 (5 points)\r<BR>\n" );
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document.write( "Find the distance between the two foci. \r<BR>\n" );
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document.write( "Question 15 (20 points)\r<BR>\n" );
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document.write( "Find the standard form of the hyperbola given by the equation 4x2 – 25y2 – 50y – 125 = 0. \r<BR>\n" );
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document.write( "Question 16 (5 points) \r<BR>\n" );
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document.write( "Here is the equation of a hyperbola in standard form: (1/10)(x - 1)^2 - (y - 1)2 = 1 . Each of the next four questions refer to this hyperbola. Find the center of the hyperbola. \r<BR>\n" );
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document.write( "Question 17 (5 points)\r<BR>\n" );
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document.write( "Find the foci of the hyperbola. \r<BR>\n" );
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document.write( "Question 18 (5 points)\r<BR>\n" );
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document.write( "One of the two axes (transverse or conjugate) is parallel to the y-axis. Find its length. \r<BR>\n" );
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document.write( "Question 19 (5 points) \r<BR>\n" );
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document.write( "Find the two asymptotes for the hyperbola<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 #48047 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=48047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION1) THE DISTANCE OF TWO OF THE SIDES ARE 5-(-4)=9 & 3-(-4)=7.<BR>\n" );
document.write( "NOW THAT WE HAVE TWO SIDES WE SOVE FOR THE HYPOTENUSE (C) IN THE FORMULA <BR>\n" );
document.write( "A^2=B^2=C^2<BR>\n" );
document.write( "9*9+7*7=C^2<BR>\n" );
document.write( "81+49=C^2<BR>\n" );
document.write( "C^2=130<BR>\n" );
document.write( "C=SQRT130<BR>\n" );
document.write( "C=11.401754<BR>\n" );
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document.write( "HERE'S THE SOLUTION TO YOUR FIRST PROBLEM, HOWEVER: <BR>\n" );
document.write( "WE ARE HERE TO HELP SOLVE INDIVIDUAL PROBLEMS BUT NOT TO DO ALL YOUR HOMEWORK.\r<BR>\n" );
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