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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 301031: What is the radius of the circle given by the equation below?
x2 - 14x + y2 - 10y = -38
Click here to see answer by checkley77(12844)

Question 301500: identify the focus and directix of 8x=y^2+6y+9
Click here to see answer by stanbon(75887)

Question 301519: What is the center and radius of (x-3)^2 + (y-6)^2 = 16?
Click here to see answer by Alan3354(69443)

Question 301529: Is 4x^2-y^2+8x-4y-4=0 is a hyperbola?
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Question 302063: an equation of an ellipse: x^2/4+y^2=25
how do you solve that one?? i know how to solve most, but not that one where their is no number under "y"
Click here to see answer by Alan3354(69443)

Question 302076: we are doing parabolas and i was given this equation:
i got stuck after i brought the 3 to the other side. how do i get this in conic form. thanks
Click here to see answer by richwmiller(17219)

Question 302101: is 2x2+4y2+6x+1=0 a hyperbola?
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Question 302294: Find the vertex of the parabola.y = -4x2 - 16x - 11
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Question 302430: find the focus, directrix, axis of symmetry and opening of each of the following.
x=y^2-6y

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Question 302546: i need to know he conic and e equationfor
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Question 302545: i need to know the name of the conic and he equation of this problem y2-4x+6y+29=0
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Question 302624: 25x�-9y�=225
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Question 302773: The vertex of this parabola is at (-1, -3). Which of the equations below could be its equation?

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Question 302813: what is the conic section of this problem? is it an ellipse, hyperbola, parabola, or circle? y�+4x�-2y-32x=-61
Click here to see answer by solver91311(24713)

Question 302808: what is the standard form of this conic equation. is it a parabola, hyperbola, ellipse, or circle? = y�-9x�+6y-126x=441
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Question 302812: what is the conic section of this equation? is it a parabola, hyperbola, ellipse, or circle? y-2x�+4x=7
Click here to see answer by Alan3354(69443)

Question 302810: what is the equation of this conic section? is it a parabola, hyperbola, ellipse, or circle? x�-4y�+6x+32y=155
Click here to see answer by Alan3354(69443)

Question 302873: Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of each equation.
3/4x^2-5x-2
So, three-fourths a number squared minus five times the same number minus two. :)
I know that it opens up and has a minimum value, since A is positive. :)
But the finding the actual value part messes me up. It is an odd problem, so the answer is in the back of the book. The back of the book says it is -10 1/3.
Please help on how to solve it? D: I don't need a graph at all (:
Click here to see answer by stanbon(75887)

Question 303065: square root x + 6 = 11
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Question 303092:
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Question 303091:
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Question 303171: Graph each ellipse and locate the foci.
x^2/25 + y^2/16 = 1

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Question 303172: * Find the solution to this system of equations, algebraically and graphically.

* Graph the solution set of this system of inequalities:

Click here to see answer by Edwin McCravy(20059)

Question 303208: y-squared/9 + (x+1)squared/4=1
Click here to see answer by Fombitz(32388)

Question 303167: *Write an eqaution in standard(graphing) form
*State which of the following (parabola, circle, elipsem or hyperbola)each represents.
--y=3x^2 - 24x+50
--x^2-4y^2-6x+16y-11=0
--x^2+y^2-6x-2y-6=0
--4x^2+y^2-8x+6y-23=0
Click here to see answer by Fombitz(32388)

Question 303441: Find the length of the major axis for the ellipse by this defined by this equation:
(x-4)^2/25+(y+8)^2/81=1
Click here to see answer by Edwin McCravy(20059)

Question 303789: please help me find the exact solution for the chapter in my book is circles, lines, and parabolas. i need my work shown as well. thank you!!
Click here to see answer by Alan3354(69443)

Question 303787: please help me find the exact solution for the chapter in my book is circles, lines, and parabolas. i need my work shown as well. thank you!!
Click here to see answer by jim_thompson5910(35256)

Question 303890: please graph this parabola: y^2= -16x
i have found the
vertex:(0,0)
Focus:(-4,0)
Directrix:x=4
I dont know if my graph is correct. Please show me the correct answer.
Click here to see answer by richwmiller(17219)

Question 303777: Please help me find the exact solution of the chapter in my book is cirlcles, lines, and parabolas. i need my work shown as well.
Click here to see answer by scott8148(6628)

Question 304041: find the area of the circle whose equation is: x^2-4x+y^2+12y-25=0
(hint: the equation for a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius)
Click here to see answer by nerdybill(7384)

Question 304204: Please help me identify what conic section this is: whether its a circle parabola ellipse or hyperbola.
Click here to see answer by jim_thompson5910(35256)

Question 304598: what is the midpoint of the segment joint (3,5) and (-6,11)?
Click here to see answer by Alan3354(69443)

Question 304840: I have a question on ellipses. The first problem is 20x^2+ 4y^2 = 5 and trying to get this in standard form. The second problem is trying to figure out is to find the intersection points of these two equations: (x^2/16 + y^2/9 = 1 and x^2/9 + y^2/16 = 1). The next 2 problems are hyperbolas that having an issue is x^2-y^2+4 = 0 trying to put in standard form. The last problem is trying to get this set of information into standard form with the following: Foci (+-3, 0) and the hyperbola passing through (4,1). Can you help me?
Click here to see answer by themathtutor2009(81)

Question 304851: A rectangular equation equivalent to r= sin(theta) is:
x^2+y^2=y
x^2+y^2=x
x^2-y^2=y
x^2-y^2=x
None
Any help is very much appreciated.
Click here to see answer by themathtutor2009(81)

Question 304919: This is "PROBLEM OF THE WEEK" and it is worth 20 points. I will type it exactly as it is printed. There are a couple of typos but maybe they are clues?
Winchester Census: During the recent Winchester census, a man told the census taker that he had three children. When asked their ages he replied, "The product of their ages is 72 and the sum of their ages is the same as my house number." The census taker ran to the dorr and looked at the house number. "I still can't tell," she complained. The man replied, "Oh, that's right. I forgot to tell you that the oldest one likes apple pie- a faborite dessert of many of the children here in the Valley." The census taker promptly wrote down the ages of the three children. How old are the children?
Click here to see answer by scott8148(6628)

Question 305319: if a+b=90degree, then the maximum value of cosacosb is..
Click here to see answer by toidayma(44)

Question 305319: if a+b=90degree, then the maximum value of cosacosb is..
Click here to see answer by Edwin McCravy(20059)

Question 305317: A straight line thrrough the origin meets the parallel lines 4x+2y=9 and 2x+y=-6 at points P and Q respectively. Then the point O divided the segment PQ in the ratio..
Click here to see answer by toidayma(44)

Question 305474: What would the standard graphing form of these following equations be? I don't know if my answers are right to these.
x^2-4y^2-2x-8y=7
(y-2)^2-4(x+2)^2=4
(y+1)^2=-4(x-2)
x^2-4x=y+4
x=2y^2-4y+5
x^2+y^2-6x+2y+9=0
(x+5)^2+4(y-4)^2=16
9x^2+4y^2-18x+16y-11=0
(y-2)^2-4(x+2)^2=4
x^2-4y^2-2x-8y=7
x^2-8x+13=y
9x^2+16y^2-64y-80=0
5x^2+5y^2=45
5x^2-6y^2-30x-12y=-9
Click here to see answer by Fombitz(32388)

Question 305759: please help me find a rectangular-cooridinate equation for the curve: x=4-t, y=t^2+1
Click here to see answer by themathtutor2009(81)

Question 305758: help me put this equation into standard form and solve the conic: x^2+9y^2-4x+54y+4=0
Click here to see answer by stanbon(75887)

Question 305721: find the equation of the ellipse
x-intercepts (5,0)and(-5,0); y- intercepts (0,3)and(0,-3)
Click here to see answer by Fombitz(32388)

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