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

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Question 717354: x2+y2+4x-6y=11 is this an hyperbola?
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Question 715930: How do you find the focus of y=1/20(x+5)^2-6
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Question 715744: The height, y, of a ball tossed into the air can be represented by the equation , where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?
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Question 717552: What is the graph of a hyperbola having the equation of (y-3)^2/16 - (x+2)^2/9=1
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Question 717579: what is eccentricity of hyperbola y=x-1/x ??
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Question 717748: find the answers of the following:
ellipse:
4X^2+y^2+8X-4y-92=0 find its center,vertex,foci,eccentricity, length of latus rectum,minor axis,major axis. write the solutions.
parabola:
(y+5)^2 = 6(x-1) find its principal axis, vertex, focus, directrix, endpoints, latus rectum. write the solutions.
hyperbola:
4x^2-25y^2=100 find its center,foci, vertices, principal axis, assymptoes, transverse axis, conjugate axis, eccentricity.

Click here to see answer by jsmallt9(3758)

Question 717838: please help me solve this problem.
Find the volume generated by revolving the area in the first quadrant under the curve y=x^2-x^3 about the y-axis?
Thank You!!!

Click here to see answer by Edwin McCravy(20059)

Question 718034: Please help Transform to standard form and describe the graph of each equation.
1. 4x�+1=-4y�+4y
2. 36x�+36y�+36y=48x+199
3. 9x�+9y�+6x=-5
4. 3x�-5y=24-3y�-40
5. x�+y�+3x-5y+17/2=0
thank you
Click here to see answer by Edwin McCravy(20059)

Question 717867: How do I find the equation of an ellipse with center at (2,-2); vertex at (7,-2); and focus at (4,-2) ?
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Question 715292: use the eccentricity of each hyperbola to find its equation in standard form center(4,1),horizontal transverse axis is 12 and eccentricity 4/3
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Question 718046: what are the coordinates for this system of linear-quadratics equations?
2x^2-y=1
x-y=2
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Question 718428: which is the equation of a parabola with vertex (0,0) and focus (0,2)?
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Question 718427: which is the equation of a parabola with Vertex (0,0) and focus (-3,0)?
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Question 718683: Please help me solve (with the workings out) 100-4r=76
Thanx
Click here to see answer by ankor@dixie-net.com(22740)

Question 718728: Find the standard equation for the ellipse using the given characteristics: vertices (0,plus or minus 5); (0,plus or minus square root of 21)
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Question 719109: find the center of the ellipse below. (x+5)^2/25+(y-1)^2/36=1
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Question 719109: find the center of the ellipse below. (x+5)^2/25+(y-1)^2/36=1
Click here to see answer by lynnlo(4176)

Question 719297: CAN YOU PLEASE HELP ME WITH THIS QUESTION..
Q.Graph each PARABOLA AND IDENTIFY EACH VERTEX
1.F(X)=1-X^2
2.F(X)=X^2+4X+1
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Question 719653: write an equation of a parabola with vertex at the origin?
focus at (0,4)
Click here to see answer by stanbon(75887)

Question 719649: Can someone please help...
Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c = 81,000 km. Assume that the center of the hyperbola is the origin and the transverse axis is horizontal. Can someone please help me with this.
Click here to see answer by stanbon(75887)

Question 719647: Can someone please help..
a hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.
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Question 720274: write the equation of the conic section using the information given.
focus is at (-3,6) distance from focus to directrixis 8 units and the graph has a minimum
Click here to see answer by josgarithmetic(39620)

Question 720389: An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards long. Find an equation for the track if its center is (0, 0) and the major axis is the x-axis.
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Question 720225: Write the equation of an ellipse with the given information:
Verticies: (-5,1) and (1,1)
Focus: (-3,1)
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Question 720461: We throw an object upward from the top I a 1200 ft. Building. The height of the object, (measured in feet) t seconds after we threw it is h = -16t^2+160t+1200

A) when will the object reach its highest point?
B) How long does it take for the object to bit the ground?
Click here to see answer by jsmallt9(3758)

Question 720102: how can I solve this use eccentricity of each ellipse to find its equation is standrad forom eccentricity 2/5 , major axis on the x-axis and of lenth 10 center (0,0)
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Question 719601: Find the coordinates of the vertex,focus,ends of the latus rectum and the equation of the directrix.Draw the parabola of:
x^2=12(y+7)
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Question 721008: write the equation of a hyperbola in standard form whose center is (-2, -4), a focus at (-2, 6), and eccentricity of 5/4.
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Question 721007: write the equation y^2 - 8y - 8x = 8 in standard form. (parabola)
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Question 721206: write the equation y^2- 8y - 8x = 8 in standard form. Fill in the blanks and sketch the graph.
A)vertex:
B)Directrix:
C)AOS:
D)p=
E)LR=
F)focus:
Click here to see answer by lynnlo(4176)

Question 721541: classify each conic section and write its equation in standard form
3x^2+30x+y+79=0
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Question 721572: What are the center, vertices, foci, and asymptotes of the hyperbola with equation (y+1)^2/36 - (x-2)^2/64 = 1?
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Question 721507: You are a lifeguard at a pong. The pond is a circle with a diameter of 600 feet. You want to rope off a section of the pond for swimming. If you want the rope to form a chord of the circle and have a maximum distance of 120 feet from shore, approximately how long will you need the rope to be?
Click here to see answer by jsmallt9(3758)

Question 721364: Write an equation for each ellipse.
Center at (-3,6); major axis vertical, with length 10; C=2
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Question 721914: Tell whether each parabola opens up, down, right or left.

Click here to see answer by MathLover1(20850)

Question 721985: identify the conic by writing the equation in standard form (4y^2)-(2x^2)-4y+8x-15=0
Click here to see answer by josgarithmetic(39620)

Question 722060: 2y2-4y-2=x
how do i graph this parabola, and identify the vertex, focus, andd directrix
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Question 722000: Identify the focus and the directrix for the following parabola:
x-3y^2=0
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Question 721975: Find the standard form of the equation of the hyperbola with vertices (4,1),(4,9) and foci (4,0),(4,10)
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Question 721973: Find the center, vertices, and foci of the hyperbola and put the equation in standard form (x^2)-(9y^2)+2x-54y-107=0
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Question 722110: Directrix x=9square root of 5 /5 +2, center at (2,-6) and one of vertices at (2,-4).
Click here to see answer by Edwin McCravy(20059)

Question 722133: Can someone please help me..
Skip designs tracks for amusement park rides. For a new design, the track will be elliptical. If the ellipse is placed on a large coordinate grid with its center at (0,0), the equation x^2/2500+y^2/8100=1 models the path of the track. The units are given in yards. How long is the major axis of the track? Explain hoy you found the distance.

Click here to see answer by MathLover1(20850)

Question 721912: Write an equation for the parabola with vertex at the origin.

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Question 721910: Give the focus, directrix, and axis for the parabola.

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