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

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

Question 822080: what is the radius of the cirle defined by the equation 6x^2+6y^2=24
Click here to see answer by richwmiller(17219)

Question 824510: Hayden is the manager of a landscaping company. He had three employees to do the entire park, Cody Kaitlin and Joseph.Cody can complete the job in 8 hrs. kaitlin can complete the project in 6 hours. Joseph is neew so no one knows how it will take him. They must all work together to complete the project. How could I explain to Hayden how long it would take Joseph working by himself?
I saw the answer by one of your tutors, but not a solution!
Click here to see answer by stanbon(75887)

Question 824509: Hayden is the manager of a landscaping company. He had three employees to do the entire park, Cody Kaitlin and Joseph.Cody can complete the job in 8 hrs. kaitlin can complete the project in 6 hours. Joseph is neew so no one knows how it will take him. They must all work together to complete the project. How could I explain to Hayden how long it would take Joseph working by himself?
Click here to see answer by josmiceli(19441)

Question 824633: Find the equation of the parabola centered at the origin passing through points (-2,-5) and (2,-5)? Please show work so I know how to do it. Thanks.
Click here to see answer by josgarithmetic(39620)

Question 824640: Given he hyperbola x^2-2y^2 = -8 , graph it
Thanks so much in advance:)
Click here to see answer by Alan3354(69443)

Question 824656: A hyperbola has center (0,0) and 1 vertex A(√6,0)
a) find the value of x if K(x,2) is on the hyperbola
Thanks very much in advance:)
Click here to see answer by josgarithmetic(39620)

Question 824655: A point P moves such that it is always twice as far from the points (4,0) as it is on the line x = 1
a) find the equation of the locus
b) identify the locus and graph
Thanks very much in advance:)
Click here to see answer by josgarithmetic(39620)

Question 824635: A point P moves such that it is always twice as far from the points (4,0) as it is on the line x = 1
a) find the equation of the locus
b) identify the locus and graph
Thanks very much:)
Click here to see answer by jsmallt9(3758)

Question 824702: plz help me to find out the points of intersection of parabolas y^2=4x and x^2=64y
Click here to see answer by jsmallt9(3758)

Question 824639: A hyperbola has center (0,0) and one vertex A(√6 , 0)
a) find the equation if fit passed through J(9,5)
b) find the value of x if K(x,2) is on the hyperbola
c) find the value of y if I(3,y) is on the hyperbola
Thanks so much in advance:)
Click here to see answer by lwsshak3(11628)

Question 824838: How do I find equation of a parabola given just the focus and directrix?
Click here to see answer by josgarithmetic(39620)

Question 824937: Find the center of the circle with equation x^2+y^2-4x+6y+1=0. Show your work.
Click here to see answer by Edwin McCravy(20060)

Question 825023: Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and the graph of this function h(x)= -4x^2-8x+3
Click here to see answer by josgarithmetic(39620)

Question 825024: Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and graph of the function g(x)=3x^2-12x+13. Thank you!
Click here to see answer by TimothyLamb(4379)

Question 825170: find the equation of the circle passing through the points (2,3) and (-1,1) and whose center is on the line x-3y-11=0

Click here to see answer by Alan3354(69443)

Question 825217: An arch is in the form of a semi ellipse. It is 50 metres wide at the base and has a height of 20 metres. How wide is the arch at the height of 18 metres above the base?
Click here to see answer by stanbon(75887)

Question 825266: Find the equation of the parabola
a) that is symmetric about the line y=4 and passing through the points (4,4) & (10,0)
b) whose focus and vertex are the vertex and focus, respectively, of the parabola with equation x+4y^2-y=0
Click here to see answer by TimothyLamb(4379)

Question 825587: Find the slope of the tangent line:
(a)To the ellipse x^2+y^2/2=1 at the point (1/√2,1)
(b)To the hyperbola x^2−y^2=1 at the point (√3,√2)

Click here to see answer by AnlytcPhil(1806)

Question 825585: The equation of an ellipse with center (4,3) that passes through the points (8,3) and (4,5) has the form f(x,y)=1. Find f(x,0).
Click here to see answer by Edwin McCravy(20060)

Question 825585: The equation of an ellipse with center (4,3) that passes through the points (8,3) and (4,5) has the form f(x,y)=1. Find f(x,0).
Click here to see answer by jsmallt9(3758)

Question 825620: which is an equation for the parabola with focus at (1,4) and vertex at (0,4)?
Click here to see answer by josgarithmetic(39620)

Question 825770: Find the equation of hyperbola whose focip(0,root 10) passing through (2,3)
Click here to see answer by lwsshak3(11628)

Question 825983: Graph hyperbola . Find the foci and asymptotes.
Click here to see answer by math-vortex(648)

Question 826098: determine the equation of the hyperbola whose vertices are the foci of the ellipse 11x^2 + 7y^2 + 14y - 70 = 0 and its foci are the vertices of the given ellipse.

thanks :D
Click here to see answer by lwsshak3(11628)

Question 826183: Find the equation of the hyperbola that satisfies the given conditions:
Vertex at (6,5)
Conjugate axis along x-axis
Asymptotes 5x - 6y - 30 = 0 and 5x + 6y - 30 = 0
Click here to see answer by lwsshak3(11628)

Question 826517: How to graph the ellipse y^2-6y+48x^2-3=0
Help me please :((
Click here to see answer by Edwin McCravy(20060)

Question 826976: a parabola is defined by the following equation: x^2+2x-8y+1=0 which direction does its graph open?

Click here to see answer by TimothyLamb(4379)

Question 826935: Write an equation of the parabola whose vertex is at (-2,3) and whose focus is at (-4,3)
Click here to see answer by lwsshak3(11628)

Question 827582: show that the equation of the parabola whose vertex and focus are on the x-axis at distances a and a' from the origin respectively is y^2=4(a'-a)(x-a).
Click here to see answer by lwsshak3(11628)

Question 827920: I would really appreciate it if you could help me with this question!!!
the directions states: find the coordinates of the center and the radius of each circle whose equation is given and then draw a graph.
equation: 4x^2+4y^2+36y+5=0

Thank you so much for taking your time to help me!!!! I really do appreciate it!:)
Click here to see answer by josgarithmetic(39620)

Question 828056: How do I graph the equation x^2+y^2+6x-16y+48=0
I've tried to isolate y, but I'm having a lot of trouble with it.
Click here to see answer by Alan3354(69443)

Question 827966: Identify the vertex,the focus ,directrix ,axis of symmetry, and the latus rectum
1.x=1/24y^2
2.y=-1/4x^2
Click here to see answer by lwsshak3(11628)

Question 827611: . A conic has focus at (0, 0) and directrix at x = −1. The point (4, 3) lies on the
conic. Hence determine the eccentricity of the conic, and state whether it is an
ellipse, parabola or hyperbola.
Click here to see answer by lwsshak3(11628)

Question 828351: Find the equation of the parabola that passes through the following points.
(0,-12), (6,12), (2,-8)
Click here to see answer by TimothyLamb(4379)

Question 828448: Find the equation of a parabola with vertex at the origin, and the axis along x-axis and passing through (2,3).
Click here to see answer by josgarithmetic(39620)

Question 828973: Find the equation of the parabola with vertex at origin and directrix as y+3=0
Click here to see answer by Fombitz(32388)

Question 828896:
What is the major axis? Be sure to specify x or y.
Click here to see answer by lwsshak3(11628)

Question 828563: standard form of (y^2)+33=-8x-23
Click here to see answer by lwsshak3(11628)

Question 828410: Write the standard form equation of each ellipse given
Center (-3,3)
Vertex (-10,3)
C^2= 33
Click here to see answer by lwsshak3(11628)

Question 830405: The equation of an ellipse is shown.
(x+2)^2/100+(y+7)^2/36=1
What is the length of its major axis?
Click here to see answer by richwmiller(17219)

Question 830604: First off I would like to thank you for taking your time to help me I really do appreciate it!!!
The questions is an equation
25x^2+49y^2=1225 the questions asks for what type of conic section the equation is it....than it asks for the center, vertices, covertices, foci, major and minor axis length and radius length...then it tells to graph it.
once again I really do thank you for helping me!!!
Click here to see answer by richwmiller(17219)

Question 830525:
How do I write that in standard form? I've tried many ways.
Click here to see answer by Edwin McCravy(20060)

Question 830635: Hello!!! Okay so before I start I would like to say thank you first for taking your time to help me. The question that im confused on is this...
The pool on an architectural drawing is given by the equation x^2+6x+y^2+8y=0. What point on the edge of the pool is farthest from the origin?
So far I was able to complete the equation and got it to its standard form which is, I think, (x+3)^2+(y+4)^2=25. This shows that the radius is 5 units and the center is (-3,-4). The part that confuses me is the farthest point. Does this not me that the whole edge of the pool/circle is the farthest point? Or are there actual set points that is farther from the origin? Thank you!!!
Click here to see answer by josgarithmetic(39620)

Question 830830: Solve Oblique conic : 10x2 +24xy + 17 y2 -9 = 0
1) Identify the conic. Explain your reasoning.
2.) Put the equation for the conic in standard form.
3.) State the Domain and Range of the Conic
4.) Graph the conic with foci, center, vertices, directrices, and asymptotes as needed for the conic. Be sure to label each element.

Click here to see answer by stanbon(75887)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955