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

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Question 275673: About a hyperbola. When you havean an equation like x^2/49-y^2/169=1... How do I make it so it's not huge on the paper? For example.. I am making a picture with different equations. I am making a cross in particular.
Click here to see answer by Alan3354(69443)

Question 275652: PLEASE HELP?? Thank you SO MUCH!!!
Write the equation that best represents an ellipse that has a vertex at (�4, 0), a co-vertex at (0, 1), and is centered at the origin.

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Question 276019: How do I determine if a parabola has real or complex roots?
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Question 276514: Which of the following circles have their centers on the y-axis? Check all that apply.
A. (x - 0)2 + (y + 5)2 = 74
B. (x + 1)2 + (y - 7)2 = 16
C. (x - 4)2 + (y - 0)2 = 22
D. (x - 0)2 + (y - 0)2 = 44

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Question 276774: Find the exact solution of y=x+2
y=x^2
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Question 277525: If a right circular cone intersects a plane that passes through one of its nappes, but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis, the resulting curve will be a(n) _____.

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Question 277474: X^2-4x+8y+28=0 . Is this a hyperbola, ellispes or parabola
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Question 277762: I need help on this new form of equation that we're learning in school that I still don't understand. It evidently has something to do with parabolas. Here's the problem:
In firefighting, a good water stream can be modeled by:
y=-0.003x^2 + 0.62x + 3
where x is the water's horizontal distance traveled (in feet) and y is its corresponding height (in feet). If a firefighter is aiming a good water stream at a building's window 25 feet above the ground, at what two distances can the firefighter stand from the building?
Please help me. I have no idea where to even start.
Click here to see answer by richwmiller(17219)

Question 278068: i'm learning about ellipses and i have the problem:
x squared+4y squared-6x+24y+41=0
i need to find the center, foci, and vertices.
i have no idea how to even start, i tried by first completing the square but i'm missing something because i get confused by that 41 that is thrown in there, please help.
Click here to see answer by Edwin McCravy(20059)

Question 278289: What is the vertex of X= 1(over)3 -2y-9
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Question 278971: I need to write the vertex form equation of the parabola with the given information:
Opens up or down, Vertex (-10,3), passes through (-8,7)
Can someone help me throught this step by step please?
Click here to see answer by Edwin McCravy(20059)

Question 279569: Can you please help me? here's the equation:

the teacher gave us answer and the answer is supposedly:
1 over x-5
i don't understand where the 1 comes from and where the x+5 goes.
so far I've factored the bottom out but thats as far as i can get and he didnt explain.
Click here to see answer by richwmiller(17219)

Question 279767: find the equation, in standard form, of the parabola

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Question 279666: if the parabola y-2=a(x-3)^2 goes through point 2,0 what is the value of a. i think the answer is a=-2 is that correct
Click here to see answer by richwmiller(17219)

Question 279925: Find the equation of the ellipse with center (�5, �2), horizontal major axis of length 6, and minor axis of length 4.
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Question 280228: For each quadratic function (a) find the vertex and the axis of symmetry and (b) graph the function.
g(x)=x^2+5x+4.
a=1, b=5 and c=4
I started doing the problem and here is what I have so far.
x = -b/2*a
x= -5/2*1 = -5/2 or -2.5
g(1)= 1*(1)^2 + 5(1) + 4
g(1)=1 + 5 +4
So the vertex is (-2.5, 10).
Now I am confuse on how to get the axis of symmetry.
g(1)= 10
Click here to see answer by stanbon(75887)

Question 280545: Graph the following conic sections. Be sure to label your graph.

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Question 280601: find vertex of the parabola y=4x squared - 16x - 11
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Question 280514: write an equation for the ellipse with end points of the major axis at (7,1) and (-7,1) and end points of the minor axis at (0,5) and (0,-3). plz explain step by step...thnx
Click here to see answer by jsmallt9(3758)

Question 281139: I have to find the vertex, focus, which way it opens, the directrix, axis of symmetry, the length of LR, and the endpoints of LR. The equation is: (x+3)^2=10(y-4). So far I have tried and found the vertex is: (-3,4) and the focus is: (-3,2.5), it opens up, the directrix is y=-2.5, and the axis of symmetry is x=-3. But when I tried to graph it it didn't work out. Can you help me?
Thank you.
Click here to see answer by richwmiller(17219)

Question 281218: Suppose you are offered two jobs. One pays $30,000 the first year with annual raises of $2000 each year. The second offers a starting salary of $27,000 and raises of 8% each year. At the end of ten years, what would your yearly salary be from the first job and the second job?
Click here to see answer by richwmiller(17219)

Question 281302: 2x^2+y^2-12x-16y+10=0
how do i convert this to standard form of a conic section
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Question 281498: Could you please show me how to do the following question because I got it wrong. The circle x^2 + y^2 - 2x - 3 =0 is stretched horizontally by a factor of 2 to obtain an ellispe. What is the equation of this ellipse in general form.Please help and thank you for your time.
Click here to see answer by CharlesG2(834)

Question 281466: state which type of conic section each equation represents. then put the equation into standard form.
x^2+9y^2-4x+54y+49=0
Click here to see answer by Mathematicians(84)

Question 281727: find the center of a circle with equation x^2+y^2-6x+4y-4=0
Click here to see answer by Greenfinch(383)

Question 281712: find the center and the radius of the circle
x^2+y^2-10x-6y+29=0.

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Question 281728: find the length of the major axis of the ellipse with equation 4(x+4)^2+9(y-1)^2=36
Click here to see answer by Edwin McCravy(20059)

Question 281731: what are the slopes of the asymptotes of the hyperbola with equation

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Question 281903: Find the center, vertices, foci, and asymtotes of the hyperbola
4x^2-y^2-8x+2Y-1=0 AND GRAPH
Find the vertex, fous, and directrix of the parabola x^2-4x-4y+16=0 GRAPH
Click here to see answer by Edwin McCravy(20059)

Question 282004: what type of conic does this represent (x-3)^2/9 + (y-2)^2/4=1. i think its a hyperbola but im not sure
Click here to see answer by Alan3354(69443)

Question 282004: what type of conic does this represent (x-3)^2/9 + (y-2)^2/4=1. i think its a hyperbola but im not sure
Click here to see answer by solver91311(24713)

Question 282024: (x+1)^2/25 + (y-2)^2/25=1 i must identify the conic. i think its a circle is that correct
Click here to see answer by Mathematicians(84)

Question 282026: If a right circular cone intersects a plane that runs perpendicular to the cone's axis (but does not pass through its vertex), the resulting curve will be a(n)?
Click here to see answer by Alan3354(69443)

Question 282062: x^2+4x=y-4 i must identify the conic. i think its a parabola is this correct. thanks
Click here to see answer by solver91311(24713)

Question 282066: (x+2)^2 + (y-3)^2=49 i am supposed to identify the conic. i think its a circle is that correct
Click here to see answer by Fombitz(32388)

Question 282368: xy=3. imust identify the conic and i think that it is an ellipse.
Click here to see answer by richwmiller(17219)

Question 282369: i must identify the conic. (x+2)^2/25 - (y-1)^2/9=1. i think its a hyperbola is this correct
Click here to see answer by Alan3354(69443)

Question 282377: i am supposed to write an equation of a circle with the center at the origin and radius 6. i think it would be (x+0)^2/36 + (y+0)^2/36= 1. is this correct
Click here to see answer by Alan3354(69443)

Question 282376: what is an equation of the perpendicular bisector of the line between the points, (2,2) and (6,6). im not sure how to get this. please help me if possible thank you
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Question 282370: i must find the distance between two points. (-2,3) and (5,4). i must leave as simplified radical. i think the answer is 3/1. please help me if possible. thanks
Click here to see answer by Alan3354(69443)

Question 281902: A satellite is placed in elliptical lunar orbit around the moon, with a perilune (nearest surface) altitude of 110km and an apolune (farthest from surface) altitude of 314km. Assuming the radius of the moon is 1728km and the centre of the moon is at one focus of the ellipse. Under this assumption, find the equation of the ellipse
Click here to see answer by CharlesG2(834)

Question 282460: i need to find the directrix, focus and roots of the parabola. y=x^2-5x+4. please help me if possible. thanks
Click here to see answer by solver91311(24713)

Question 282521: please help
f(x)=2-x g(x)=square root 3-x

problem: (f+g)(-3)

Click here to see answer by dabanfield(803)

Question 282458: given the equation of a circle x^2+y^2-10x+4y+13=0 find its center and its radius. im not sure i think its center is 10,-4 please help if possible
Click here to see answer by dabanfield(803)

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