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

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Question 22087: x^2+4y^-2x-3=0, 2x^2=z0x-y=41=0, 5x62-3y^2-30=0, x^2=y^2-12x=4y=31=0, y^2-8x-4y=4=0, -x^2+y^2-6x-6y-4=0
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Question 22093: Can you please help me solve this equation: 16x^2+y^2-24y+80=0.
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Question 22094: Can you please help me solve this equation: 16x^2+25y^2-400=0.
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Question 22095: Can you please help me solve this equation: x^2+y^2-16x+39=0.
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Question 21336: i have hti sproblem x^2+8x-y+6=0 i need to find the focus,directrix and the vertex. where i get lost at is -y+6=-x^2-8x then hwat is next. thank you for your help
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Question 22081: y2 - 12y + 4x + 4 =0
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Question 23302: The Earth is closest to the sun in January. The closest point, or perihelion, is 1.47 x 10^8km from the sun. The Earth is farthest from the sun in july. The farthest point or Aphelion, is 1.52 x 10^8 km from the sun. Write an equation of the ellipse that models the Earth orbit around the sun. Assume that the centre of the ellipse is at the origin and that the major axis is along the x-axis.
-------------------------Earth
Perihelion.___sun_________.Aphelion -----------> assuming this is the ellipse.

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Question 21722: I just need this question checked. Here it is....
A mining company has determined that the cost in dollars, c, per ton of mining a mineral is given by c(x)=0.2x2(squared)-2x+12 where x is the number of tons of the mineral that is mined. Find the number of tons of the mineral that should be mined to minimize the cost. What is the minimum cost?
i got the minimum cost should be 7 is this right?
if not please help!

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Question 22088: classify conic section and write equation in standard form x^2+4y^-2x-3=0, 2x^2=z0x-y=41=0, 5x62-3y^2-30=0, x^2=y^2-12x=4y=31=0, y^2-8x-4y=4=0, -x^2+y^2-6x-6y-4=0
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Question 23529: Find an equation of the hyperbola such taht for any point on the hyperbola. the difference between its distance from the points (2,2) and (10,2) is 6.

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Question 23528: A ship is monitoring the movement of a pod of whales with its radar. The radar screen can be modelled as a coordinate grid with the ship at the centre (0,0). The pod appears to be moving along a curve such that the absolute value of the difference of its distances from (2,7) and (2,-3) is always 6. Write an equation in standard form of hyperbola to describe the path of pod.
So far I got... the centre at (2,2) and 6/2 = 3^2 = 9
And the equation: x-2/a^2 - y-2/9 =1 I can't figure out (a

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Question 23721: How can you tell if a parabola opens left/right or up/down such as for this question.
The foucs (-3,5) diretrix at x= 1 --> write it in standard form and tell whether it opens right/left or up/dpwn.

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Question 23745: The stream of water from some water fountains follows a path in the form of a parabolic arch. For one fountain, the maxium height of the water is 8 cm, and the horizontal distance of the water flow is 12cm.
Find an equation of the parabola. Assume that the water spout is located at the origin.

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Question 24303: find the foci of the ellilpse with the equation X2/49+y2/64=1
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Question 24555: what is the center of the circle x^2 + 4x + y^2 + 2y - 9 = 0?
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Question 24555: what is the center of the circle x^2 + 4x + y^2 + 2y - 9 = 0?
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Question 24555: what is the center of the circle x^2 + 4x + y^2 + 2y - 9 = 0?
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Question 25386: hey how can i solve a hyperbola equation
what means asymptote slope


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Question 25647: How do you write an equation for a parabola when given the vertex points and focus points?
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Question 24554: what is the equation of a parabola whose vertex is the origin and whose directrix is the line y=-3?
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Question 26137: x=5y^2-25y+60
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Question 26648: I need help with these problems (Please!)
1) Find the vertex and focus of the parabola whose equation is 8(y-4)=(x+1)2exponent

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Question 26655: Find the foci of the ellipse whose equation is (y^2/16) + (x^2/12) = 1
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Question 26779: Find an equation of the circle with the center and radius: (-3,1);5



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Question 26656: Find the slopes of the hyperbola whose equation is (y^2/64)-(x^2/36)=1.
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Question 27474: how do you fing the focus of a parabola when it is 9.5 inches deep and 10.5 inches wide?
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Question 27693: what are the equations for each of the conic sections?
ex. circle is (y-h)^2+(x-k)^2=radius^2

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Question 27789: two points (1,y)and (-1,x)lie on the curve y=px^2+qx+5 if y+x=14 what is the value of p?
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Question 27827: Hyperbolas again,
i need to find the vertecies foci and slope then graph the equation: 4x^2-25y^2-8x^2-96 equals zero(0)
please help me!

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Question 27825: I dont get how to find the foci! and i guess it;s crucial for this chapter. hyperbolas stink! how do i find the vertecies foci and the slope of:y^2 over 36 minus x^2 over 4 equals one?? please help me!
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Question 27826: My question is for hyperbolas,
I need to fine the vertecies foci slope and then draw a graph, the problem is i was sick the day my Algebra teachr went through it and my personal oppinion he should not be teaching math because he doesnt answere my questions! one of the many equations is: (x+6) quantity squared over 25, minus (y+3) quantity squared over 9 quals(=) 1(one) please help me get this stuff!

-Sick and Desperate

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Question 27834: I cant say how much i appreciate your help and i will leave you alone after this last one. xy=c is a hyperbola with the x- and y- aves as asymptotes. I need to sketch the graph the problem is xy=-12 thanks so much
-Sick and Desperate

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Question 27832: byperbolas, last one i swear.
first i would appreciate it if u defined some words for me and tell me what they are/do. Asymptote, transverse axis,what the a^2 and b^2 do. Next I dont get how to graph the hyperbolas, more specific how to pull info from the graph to the equation, whats standard form for a hyperbola. and last section my book gave me a formula xy=c is a hypebola with the x and y axis as asymptotes(dont know what it means) Sketch the graph of each hyperbola. I promis I'll leave ya alone just lay some stuff out for me please!!
thanks!

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Question 27829: It's the sick one again,
Im in a conic section and it wants me to write and equation for the hyperbola described: the vertecies of the hyperbola are at (0,-4) and (0.4). the Conjugate,(define it for me please) axis has a length of 14 units. Please explain this to me it wont help if i dont get it.
-Sick and Desperate

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Question 27828: Hyperbolas,
i need to write an equations for a hyperbola centered at (-4,5) and has a vertical transverse axis. the value of "a" is 4 and the value of "b" is 9.
help me please!!!

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Question 27982: What is the equation of the parabola that moves the parent graph of y=x^2 down 10 units???????
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Question 28016: What is the equation of a parabola that passes through the points (1,6),(-2,27), (2,11)?
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Question 28014: What is the quadratic form for g(x)=2(4x+1)²?
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Question 28013: What is the quadratic form for f(m)=(2m-5)²?
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Question 28103: What is the center, foci, and the lengths of the major and minor axes for the ellipse, %28x%2B3%29%5E2%2F36+%2B+%28y-4%29%5E2%2F9+=+1
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Question 28099: Would you please help me name the center of the ellipse x^2/64 + (y-3)^2/36 = 1 and then help me state whether the major axis is horizontal or vertical?
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Question 28101: What is the equation for the ellipse, the foci are at (12,0) and (-12,0). The endpoints of the minor axis are at (0,5)and (0,-5)?
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Question 28102: What is the center, foci, and the lengths of the major and minor axes for the ellipse, x^2/5 + y^2/10 = 1?
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Question 28071: I have to identify and solve quadratic systems. i really don't get this at all. So, if you could help me solve the problem, it would be greatly appreciated.
1) y= x-2
y= x^2-2
or y= x-1
y=x^2
either one would be great. THANK YOU!!!

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Question 28335: What is the vertices, foci, and slope of the asymptote for the hyperbola whose equation is, y^2 - 4x^2 - 2y - 16x + 1 = 0?
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