Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

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Question 545230: an elliptical window is 24 inches wide at its widest point and 12 inches tall at its tallest point. it has an elliptical frame that is 2 inches wide. what is the equation for the ellipse formed by the inside of the frame?please need help for math class.
Click here to see answer by KMST(5328)

Question 545715: write in standard form,an ellipse with foci (-3,2) and (1,2) and major axis of length 8
Click here to see answer by lwsshak3(11628)

Question 545573: Hello, could you please help me figure out where I am going wrong with the foci and vertices of . I keep getting an "a" of 2 and a "b" of 5 (with "c" being sqrt( 29 ) ) but my calculator's graph says it should be different (an "a" of 1/2). Thank you.
Click here to see answer by lwsshak3(11628)

Question 545969: Could someone help me solve this problem it wants me to evaluate the function for the indicated value
f(x)=x2^+5x+7; find f(2)
Click here to see answer by stanbon(75887)

Question 545970: I don't understand this problem confused it asked to solve the quadratic equation by completing the statement.
x2^-14x=-45
Click here to see answer by ankor@dixie-net.com(22740)

Question 545970: I don't understand this problem confused it asked to solve the quadratic equation by completing the statement.
x2^-14x=-45
Click here to see answer by Edwin McCravy(20059)

Question 545955: I have 3 problems left on my assignment and now I'm stuck. It says to solve the quadratic equation by completing the square.
x2-14x=-45
Click here to see answer by Alan3354(69443)

Question 546005: (x-4)^2+16(y-5)=0 Does this line go through point (0,7)? And does this parabola open upwards?
Click here to see answer by lwsshak3(11628)

Question 544037: what is the equation of the conjugate of the hyperbola
Click here to see answer by lwsshak3(11628)

Question 545406: An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 feet above ground (the major axis). What should the span of the bridge be (the length of its minor axis) if the height is 31 feet from the center is to be 16 feet above the ground.
Click here to see answer by lwsshak3(11628)

Question 546483: use factoring to put h(t)=(-16t^2)+80t
Click here to see answer by JBarnum(2146)

Question 546772: Graph each function identify the axis of symmetry
y=(x-1)2nd power+2
Click here to see answer by stanbon(75887)

Question 547488: Solve the quadratic equation by completing the square.
Xsquared + 10X + 35 = 0
Click here to see answer by oberobic(2304)

Question 547019: Sketch the graph of x^2+y^2+2x-6y-6=0.
I believe I have to use the hyperbola formula but I don't know how to do it.
Click here to see answer by bucky(2189)

Question 547708: Factor the following expression completely:
45y3 � 33y2 + 6y

Click here to see answer by JBarnum(2146)

Question 547699: The area of a rectangular athletic field is represented by the expression 16y^7+32y^5+80y^3 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense �length time�s width�) of the athletic field. Include correct units with your solution
Click here to see answer by mananth(16946)

Question 547704: Factor the expression25a^2-40ab+16b^225a^2-40ab+16b^2 into a product of binomials
Click here to see answer by mananth(16946)

Question 547705: The area of a rectangular athletic field is represented by the expression 4y^2-49z^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense �length time�s width�) of the athletic field. Include correct units with your solution.

Click here to see answer by mananth(16946)

Question 547491: Write a polynomial function in standard form with zeros at 5, -4, and 1.

Click here to see answer by scott8148(6628)

Question 548247: Explain why the graph of x2 + y2 - 4x + 2y + 5 = 0 is a single point.
Click here to see answer by solver91311(24713)

Question 548276: Write and graph an equation for the parabola that has vertex (-1, 3) and passes through the point (-2, 1). Remember: y= a(x-h)2 + k
Click here to see answer by lwsshak3(11628)

Question 548197: Find the minor axis vertices of the ellipse.16x^2+4y^2+64x+24y+36=0
Click here to see answer by lwsshak3(11628)

Question 548049: write an equation of the ellipse with the given characteristics and center at (0,0)
vertex:(0,6)
co-vertex:(-3,0)
Click here to see answer by lwsshak3(11628)

Question 547160: Identify the vertices, foci, and assymptotes and graph
X^2/9 - y^2/9 = 1
Click here to see answer by lwsshak3(11628)

Question 546684: Given the focus of the parabola (0,-6), and the directirx y=6, find the equation of the parabola.
Click here to see answer by lwsshak3(11628)

Question 546682: Given the vertex of a parabola (-4,5) and the focus (-6,5), find the equation of the directrix.
Click here to see answer by lwsshak3(11628)

Question 546679: Write the equation of the hyperbola given the foci (2,-3) and (2,7), and the vertices (2,-1) and (2,5).
Click here to see answer by lwsshak3(11628)

Question 546677: Write the equation of the ellipse centered at the origin given a focus (0,2) and a vertex (0,3).
Click here to see answer by lwsshak3(11628)

Question 548404: I have an astronomy program that provides information on known comets. They provide only two pieces of information: Perhelion and eccentricity.
I have gone through a number of books and web pages both for astronomy problems and math problems trying to find out how to find out the length of the major axis.
I am not very good at working with advanced math (though I have studied some that I needed to use). Please help me with this. Thank you
Click here to see answer by stanbon(75887)

Question 546364: for x - 4 = ( y + 5 ) ^2
would (4,-5) be the vertex?
and what is the focus and directrix?
also, what is the focus and directrix of -3( y +3)^2 = - (x+4) and -3 (x+2)^2 = - (y+6)
I was confused because I wasn't sure what the point was so I couldn't figure out the focus and directrix.
Click here to see answer by lwsshak3(11628)

Question 545235: which equation gives the directrix of y-1/12x^2-5?
y=-8
y=3
x=3
y=-5
please need help for math class.
Click here to see answer by lwsshak3(11628)

Question 545587: put in standard form and graph x^2-2x+y+7
find the focus and directrix
Click here to see answer by lwsshak3(11628)

Question 548519: A 20-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 4 ft longer than the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.
Click here to see answer by stanbon(75887)

Question 548633: The question is write an equation for the perpendicular bisector of the line segment joining the two points? the points are(-2, 2) and (5, 4)
Click here to see answer by mananth(16946)

Question 548555: find the focus of a parabola represented by the equation f(x)=x(squared)-8x+12 with the vertex at (4,-4).
Click here to see answer by lwsshak3(11628)

Question 549083: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-12x + 27y = 60
-6x � 6y = 30

Click here to see answer by solver91311(24713)

Question 549084: Multiply
-5x + 4
by
4x^2 + x

Click here to see answer by rfer(16322)

Question 549061: Solve by factoring: 4m2 + 7m = 0
Click here to see answer by rfer(16322)

Question 549218: I am trying to draw the graph of sqrt2, sqrt4, and sqrt5(all on the same graph). How do i plug it in my HP calculator or an online version and what does the graph look like.
Click here to see answer by Earlsdon(6294)

Question 549182: How do you write this in standard form? -2y^2+x-20y-49=0
Click here to see answer by KMST(5328)

Question 549272: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-12x + 27y = 60
-6x � 6y = 30

Click here to see answer by mananth(16946)

Question 549299: Find the equation for the right bisector of the line segment joining the points A(1,1) and B(2,3).
Click here to see answer by stanbon(75887)

Question 548497: Find the distance betweeen the points of intersection of the curves 3x - 2y + 6 = 0 and x^2 + y^2 = 9.
Click here to see answer by lwsshak3(11628)

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