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

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

Question 414249: write the ratio as a fraction in lowest terms.
16 minutes to 4 hours.

Click here to see answer by algebrahouse.com(1079)

Question 414248: write this ratio as a fraction in lowest terms.
$90 to $60
(simplify your answer. type a fraction)
Click here to see answer by algebrahouse.com(1079)

Question 414247: write the ratio as a fraction in lowest terms.compare in house.
23 hours to 4 days
Click here to see answer by mananth(12270)

Question 414245: write this ratio as a fraction in lowest terms

261 days to 152 days
(simlify your answer)
Click here to see answer by ankor@dixie-net.com(15624)

Question 415344: Find the equation for a parabola with its focus at (5,0) and with directrix x=-5

Click here to see answer by Edwin McCravy(8880)

Question 415383: Choose the correct conic section to match the equation:
(x^2)-(4y^2)=64
Click here to see answer by richard1234(5390)

Question 415595: what is the focal length of
(x − 4) ^2 /36 + (y + 5) ^2/ 25 = 1

Click here to see answer by lwsshak3(6463)

Question 415814: find the center and the radius of the cirlce (x+4)^2+y^2=100
Click here to see answer by ewatrrr(10682)

Question 416117: I do not understand how to find the center, transverse asxis, vertices, foci and asymptotes for the following equations:
y^2-x^2-4y+4x-1=0 and y^2-4x^2-4y-8x-4=0

(I think I am supposed to complete the square but I do not know how to do that with two variables)
Click here to see answer by lwsshak3(6463)

Question 416231: Find the x-intercepts fpr the ellipse. x^2/25 + y^2/16 = 1
Click here to see answer by htmentor(788)

Question 416376: Choose the equation of the parabola with a vertex at the origin and a focus at (0, –3).
a. y=-1/3x
b. y=1/12x^2
c. y=-1/3x^2
d. y=-1/12x^2
Click here to see answer by ewatrrr(10682)

Question 416372: Write an equation for a graph that is the set of all points in the plane equidistant from the point F(-1/8, 0) and the line x=1/8.
Thanks!
Click here to see answer by poliphob3.14(115)

Question 416830: How would you graph such an equation as 4X^2 + Y^2 - 4Y - 32 = 0 ?
Click here to see answer by ewatrrr(10682)

Question 416961: In hyperbola, Which is greater, transverse axis or conjugate axis?
Click here to see answer by Gogonati(809)

Question 417171: find equation equidistent from 2,3 and line y=1 for set of all points
Click here to see answer by lwsshak3(6463)

Question 417420: find the x-intercept of a parabola with a vertex (-1,2) and y-intercept (0,-3)
Click here to see answer by Gogonati(809)

Question 417507: Write an equation in standard form for each circle.
5. (0,0), radius 3
6. (0,2), radius 8
7. (5, –1), radius 6
I don't understand how to do these, help would be appreciated! Thanks!
Click here to see answer by stanbon(57223)

Question 417514: Explain how to tell from a quadratic equation what type of conic section the equation represents without graphing it.
Click here to see answer by stanbon(57223)

Question 416655: What is the axis of symmetry of the parabola with the equation x – 4 = 1/4(y + 1)2
Click here to see answer by Gogonati(809)

Question 417649: I am working on parabola and i get the fundmentals but i am having alittle issue when doing this problem f(x)=-3(x-2)square+1
I have to find 2 points using square root property
Click here to see answer by stanbon(57223)

Question 417792: What the vertex and the axis of symmetry for
the parabola with the given equation.
y = 5x^(2) - 30x + 47

Click here to see answer by rfer(12645)

Question 418280: How do I solve for p in parabolas?
Click here to see answer by lwsshak3(6463)

Question 418519: If the following parabola has a minimum at y=-4 and roots at x=5 and 7. What is the a in the equation ? The equation is y= a(x-p)2+q

Click here to see answer by scott8148(6628)

Question 418797: How do you find the equation of the hyperbola with the following information: Foci (-4,0) (4,0) and asymptote is y=-x
Click here to see answer by ewatrrr(10682)

Question 419369: In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50 centimeters tall and 90 centimeters wide. Find the equation of the parabola.

Click here to see answer by MathLover1(6614)

Question 419366: Write an equation of a parabola with a vertex at the origin and a directrix at y = 5
Click here to see answer by ewatrrr(10682)

Question 419781: If the equation of a parabola is y = 9(x - 2)2 + v, and its vertex is (2, -4), what is the value of v in the equation?

Click here to see answer by stanbon(57223)

Question 419818: Choose the answer that best represents the foci of an ellipse with the equation 25x^2+38y^2=900.
(a) (-6, 0)
(b) (+or- sqrt [11], 0)
(c) (0, sqrt [11])
(d) (+or- sqrt [6], 0)
Click here to see answer by Gogonati(809)

Question 420091: Please help! I need to identify whether these four equations are a parabola, line, circle, or ellipse. I think I have some of them worked out, but please help me.
* y^2-4x-2y-6=0 parabola?
* y^2+x^2-9=0 ellipse?
* 2x^2+3y-8x+6=0 parabola?
* 3y^2+5y^2-6y-20x-36=0 circle?
Thank you so much your a life saver.

Click here to see answer by stanbon(57223)

Question 420289: 1)What conic does the equation y=x^2 represent?
A) circle
B) ellipse
C) parabola
D) hyperbola

Click here to see answer by richard1234(5390)

Question 420415: Find an equation for the ellipse that satisfies the given conditions.
Endpoints of major axis (±8, 0), distance between foci 6
Click here to see answer by Gogonati(809)

Question 420795: I need to put this in standard form: x^2+y^2-16=0
I know its a circle. That's about it.
Click here to see answer by stanbon(57223)

Question 420793: I need to write this equation in standard form. y^2=-3x
I know it's a parabola, but do you complete the square to get in standard form?
Click here to see answer by stanbon(57223)

Question 420844: 9x^2 +25y^2 = 64 into form of (x-h)^2/a^2 + (y-k)^2/b^2, How?

Click here to see answer by lwsshak3(6463)

Question 420065: What is the equation for the following graph?
parabola opening to the right, with vertex at (1, 2) and directrix at x equals negative 1
Click here to see answer by lwsshak3(6463)

Question 421154: the equation of the axis of the parabola x^2-4y+8=0
Click here to see answer by stanbon(57223)

Question 421278: a boat travels so that it is twice as far from one buoy as another buoy 3 miles away. describe the path of the boat
Click here to see answer by Edwin McCravy(8880)

Question 421165: find the center, vertices, foci and asymptotes of the hyperbola 1x^2-y^2-8x+2y-1=0 and draw a graph.
This is what I tried.
4x^2-8x+(-8/2)^2-y2+2y+(3/2)^2
4x^28x+16-4^2+2y+1=1+16+1
(2x-4)^2-(y+1)^2=18
This is driving me made. Thanks for the help.
Click here to see answer by lwsshak3(6463)

Question 421164: 4x^2+25y^2-8x+100y+4=0 find the center, vertices and foci of the ellipse

Click here to see answer by lwsshak3(6463)

Question 420767: what is the graphic equation of? 4x2 + 9y2 - 16x -126y + 421
Click here to see answer by lwsshak3(6463)

Question 421565: Choose the equation that best represents an ellipse for the given foci and co-vertices.
foci (+or- 2, 0)
co-vertices (0, +or- 4)
(a) x^2/20 + y^2/16 =1
(b) x^2/16 + y^2/20 =1
(c) x^2/9 - y^2/36= 1
(d) y^2/6 - x^2/1 =1
Click here to see answer by Edwin McCravy(8880)

Question 421654: How do I find the vertex, focus, directrix, axis of symmetry,
and latus rectum of this parabola equation?
y - 1 = ¼(x + 2)²

Click here to see answer by Edwin McCravy(8880)

Question 421697: i need a lot of help with these questions i do not understand them at all..! pleas help.!
1.What is the distance between the following points?
(-2 sq root 7,10) (4 sq rt 7,8)
2.What is the axis of symmetry of the parabola with the equation x – 4 = 1/4(y + 1)2
3.Find the foci of an ellipse with the equation 7(x – 2)2 + 3(y – 2)2 = 21.
4.Find the vertices of a hyperbola with the equation (x + 3)2 – 4(y – 2)2 = 4
5.Find the foci of a hyperbola with the equation 9y2 – 72y – 16x2 – 64x – 64 = 0
i need the last few to be in (a,b) form.. Thanks.!
Click here to see answer by lwsshak3(6463)

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