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

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Question 876365: -6x+2y=-44
-10x+2y=-60

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Question 876362: 6x-6y=-48
-10x+4y=92

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Question 876373: Enter the Equation of the directrix
X^2+16y=0

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Question 876477: Find the vertex of the parabola, the direction it opens, and the axis of symmetry.
y = 4%28x+%2B+4%29%5E2+%2B+6

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Question 876564: graph y^2-24x=0

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Question 876605: y=(1/3)^x+2
how do i do the graph?

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Question 876466: Find the vertex of the parabola, and the direction it opens.
3x%5E2+-+12x+-+y+%2B+18+=+0

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Question 876615: How do you write 4x^2-y^2-16x-4y-4=0 in standard form
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Question 876551:
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Question 876550: 36x^2+9y^2-324=0
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Question 876549: X^2/25+y^2/16=1
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Question 876548: X^2+y^2-12x-8y+27=0
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Question 876547: (X-3)^2+(y+1)^2=16
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Question 876478: Find the radius of the circle.
x%5E2+%2B+y%5E2+%2B+4x+-+16y+%2B+19+=+0

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Question 876475: Find the x and y intercepts of the parabola.
y = -3%28x+%2B+4%29%5E2+%2B+27
x:___,___
y:___,___

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Question 876473: Find the center, and the lengths of the transverse and conjugate axes of the hyperbola.Get the equation into standard form for a hyperbola.
Find the center, and the lengths of the transverse and conjugate axes.
9x%5E2+-+16y%5E2+%2B+126x+%2B+288y+-+999+=+0

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Question 876467: Find the vertex of the parabola, the direction it opens, and the axis of symmetry.
x+=+4%28y+%2B+8%29%5E2+-+3

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Question 876345: Write an equation of an ellipse in standard form with center at the origin and with the given characteristics.
Focus (8,0), x-int 12

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Question 876476: Solve the system of equations.
3j%5E2+%2B+17j+%2B+8k+-+84+=+0
-j+%2B+8k+-+63+=+0
j:___, k:___
and
j:___, k:___

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Question 877244: Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1
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Question 877292: Identify the conic section as a circle parabola or neither.
2x^2+3y^2+6x-9y-15=0
-A parabola, identify vertex and directrix
-A circle, identify center and radius

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Question 877344: please help me,,, to find the standard form of a parabola given the vertex at the origin and directrix, x=2
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Question 877405: x^2+2xy-2y^2+2x=0

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Question 877450: find radius of curvature of
16y^2=4x^4-x^6

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Question 877552: how to find standard form of an ellipse giving foci:(3,3) , (-1,3); Major axis length of 6
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Question 877408: Find an equation for the conic that satisfies the given conditions.
Ellipse foci (0, 2), (0, 6) vertices (0, 0), (0, 8)

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Question 877541: find an equation of the ellipse having foci (-1,0) and (7,0) and with 10 as the sum of the focal radi
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Question 877320: find a b C and the center and sketch the graph of the ellipse 4x^2 + 25 y^2 +16 X - 150y + 141=0
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Question 877742: center: (2,15)
point on circle: (5,15)
write the equation of each circle with the given information. then write the equation of the line tangent to the circle at the given point. (Hint: You will need both length and slope of the radius.)

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Question 877742: center: (2,15)
point on circle: (5,15)
write the equation of each circle with the given information. then write the equation of the line tangent to the circle at the given point. (Hint: You will need both length and slope of the radius.)

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Question 877726: What is the domain and range for 25x^2-5y-8=0?
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Question 877943: Analyze the Conic Section (center, vertices intercepts ...)
(4x^2)+(9y^2)-40x+64 = 0

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Question 878042: What is the standard form of the equation of the conic:5x^2-4y^2-30x-16y+9=0

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Question 878130: name direction vertex Axis of symmetry focus diectrix of the parabola
x-1=1/4(y-8)^2
please help

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Question 878101: Given an ellipse whose major axis has a length of 8 and whose minor axis has a length of 6, what is the equation in standard form of the ellipse?
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Question 878129: name the direction vertex Axis of symmetry focus directrix of the parabola
y= -1/4x^2

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Question 878075: sketch the hyperbola (vertical or horizontal?) (x+1)^2/16+(y-2)^2/64=1
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Question 878034: Find the vertices, foci, and equations of the asymptotes of the hyperbola. 4x^2-3y^2+8x+16=0
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Question 878386: how do you write the equation of a parabola given the vertex at origin and focus of (-1/12, 0)
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Question 878021: Find the eccentricity of the ellipse (x+2)^2/36+(y-4)^2/11=1
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Question 878504: what are the solutions to the nonlinear system of equations below?
check all that apply
x^2+y^2=9
x^2/3^2-y^2/3^2=1
A. (3, 3)
B. (-3, -3)
C. (3, 0)
D. (0, 3)
E. (0, -3)
F. (-3, 0)

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Question 878549: Find the equation of the parabola whose focus is (-1,2)and directrix is x-2y-15=0.

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Question 878497: does anybody know how to identify conics

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Question 878581: how do you find the horizontal axis length and the vertical axis length of an ellipse


Thank you,

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