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

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

Question 250654: Complete the square in order to graph the conic section.
x^2-6x+2y-1=0
Click here to see answer by Fombitz(32388)

Question 250644: What are the exact solutions of the system of equations.
x^2-2y=11
3x^2+y^2=24
Click here to see answer by MRperkins(300)

Question 250942: Find the center of the hyperbola below.
(x-4)^2/25 - (x-9)^2/9=1
Click here to see answer by Fombitz(32388)

Question 251068: State whether the graph of each equation is a parabola, a circle, an ellipse, or a hyperbola. Then draw the graph. Show all work detailedly.
4x^2 - 26y^2 + 10 = 0
Click here to see answer by solver91311(24713)

Question 251076: Three tracking stations have detected a earthquake in the local area. The fist stations is located at the origin ion the county map, where each unit of the grid represents one square mile. The second and third stations are located at (8, -8) and (11, 10), respectively. The epicenter of th4e earthquake is 5 miles from the first tracking station, 13 miles from the second tracking station, and 10 miles from the third tracking station. What are the coordinated of the epicenter of the earthquake? Explain your answer.
Click here to see answer by solver91311(24713)

Question 251077: Two condominium apartment buildings that face each other have a front door awning that is shaped like a hyperbola. The equation of the hyperbola is 25x^2 - 81y^2 = 30,625. Find the distance in meters between the two front door awnings at their closest point.
Click here to see answer by jsmallt9(3758)

Question 251286: I need help making a coordinate table for this equation: xy = 12
Click here to see answer by checkley77(12844)

Question 251606: what is the intercepts, axis of symmetry and vertex of y=3x^2+12x+16
Click here to see answer by stanbon(75887)

Question 251851: find the coordinates of the point of intersection of the axis and the directrix of the parabola whose focus is (3,3) and directrix is 3x-4y=2.find also the length of the latus rectum?
Click here to see answer by Edwin McCravy(20059)

Question 251507: how to trace conic
Click here to see answer by Alan3354(69443)

Question 249900: the graph of 0= x^2+x+1-y^2-4y is a

Click here to see answer by Alan3354(69443)

Question 251131: 1. y= -3x^2 - 18x + 5
equation in (h,k) form:
Vertex:
Direction of opening:
2.9x^2-16y^2-32y+128=0
equation in (h,k) form:
Vertex:
Direction of opening:
3. Solve system using substitution or elimination. Give real and non-real coordinate solutions.
3x^2-y^2=9
x^2+4y^2=3
Click here to see answer by nyc_function(2741)

Question 241398: x^2+y^2=2x-2y=2

What type of conic is this?
What is the standard form of this equation?
Click here to see answer by prateek(6)

Question 241398: x^2+y^2=2x-2y=2

What type of conic is this?
What is the standard form of this equation?
Click here to see answer by Alan3354(69443)

Question 252296: If P is the any point on the hyperbola whose axis are equal,prove that SP.SP'=CP^2. please explain it completely.
Click here to see answer by stanbon(75887)

Question 252347: If P is the any point on the hyperbola whose axis are equal,prove that SP.SP'=CP^2. please explain it completely.
Click here to see answer by Edwin McCravy(20059)

Question 250802: Solve the system?
1. y^2+x^2=61
-x+y=1
Click here to see answer by edjones(8007)

Question 250822: solve the system
y^2-x^2+2x-5=0
x^2+y^2-2x-3=0
Click here to see answer by drk(1908)

Question 250804: solve the system
x^2/16 + y^2/25 =1
x^2+y^2 =25
Click here to see answer by drk(1908)

Question 250853: Find the focus and directrix of the parabola y^2=6x
Click here to see answer by morganjd(5)

Question 252533: find the minimum value of the segment of a tangent to the horizontal ellipse intercepted by the coordinate axis?
Click here to see answer by Edwin McCravy(20059)

Question 250363: Complete the square in order to graph the conic section.
x^2-6x+2y-1=0

Click here to see answer by drk(1908)

Question 253062: At which vertex is the objective function C = 3x - 4y maximized?
Click here to see answer by drk(1908)

Question 253258: Need to turn this into standard form...
4x^2+4y^2-24+16y-100=0
4x^2+4y^2+16y=124
4x^2+4y^2+16Y+(1/2 of 16 =8^2=64)=124
4x^2 +4y^2+16y+64-64=124-64
4x^2 + 4y^2+16y=64
4x^2+ (2y+4)^2=64 or 8^2
I know this is not right but i do not know what to do.

Click here to see answer by jim_thompson5910(35256)

Question 254240: how do i determine the vertex, AOS and what direction it opens?
y^2=-3x
Click here to see answer by richwmiller(17219)

Question 254746: What is the solution to (25x^2)-(16y^2)=400 ?
Click here to see answer by dabanfield(803)

Question 254907: i do not understand how to put an equation into a graphing calculator. The problem i am working on asks how you would put this in to graph an ellipse
9x^2+25y^2=225
but i dont know what how to do it on a calculator
Click here to see answer by jim_thompson5910(35256)

Question 254966: y=x squared-12x+20
simplify into the parabala equasion
Click here to see answer by richwmiller(17219)

Question 255080: Identify this conic section.
x2 + y2 = 25
a.line
b.circle
c.parabola
d.hyperbola
e.ellipse

Click here to see answer by richwmiller(17219)

Question 255081: Identify this conic section.
xy = 25
a.line
b.circle
c.ellipse
d.parabola
e.hyperbola
Click here to see answer by richwmiller(17219)

Question 255079: Find the distance between the points (-3, 2) and (4, -5).

Click here to see answer by Greenfinch(383)

Question 255125: find the center & radius of the circle with the equation

Click here to see answer by stanbon(75887)

Question 255468: write the equation in standard form for an ellipses 4x^2+9y^2-8x+72y+4=0
Click here to see answer by richwmiller(17219)

Question 256119: How do you solve the equation x^2-6x-25=0 and write your answer in the form ab+i?
Click here to see answer by stanbon(75887)

Question 256411: find the graph of the parabola y2(squared)+6y+8x+25=0
Click here to see answer by stanbon(75887)

Question 256400: What is the distance between the points (�7, 7) and (�4, 11
Click here to see answer by Fombitz(32388)

Question 256402: Find the vertices of a hyperbola with the equation (x + 3)2 � 4(y � 2)2 = 4
Click here to see answer by Fombitz(32388)

Question 256357: Graph y = -2x2 - 4x + 2. Label the vertex and axis of symmetry. Find the solutions for the vertex and axis of symmetry.

Click here to see answer by Fombitz(32388)

Question 256356: Graph y = �2x2 � 4x + 2. Label the vertex and axis of symmetry. Find the solutions for the vertex and axis of symmetry.

Click here to see answer by Fombitz(32388)

Question 256816: A hyperbolic mirror (used in some telescopes) has property that a light ray directed at a focus will be reflected to the other focus. The focus of a hyperbolic mirror can be represented on a rectangular coordinate system by coordinates (24,0). Find the vertex of the mirror if the Mount at the the top edge of the mirror has coordinates (24,24). Sketch the focus, vertex, and part of the hyperbola to represent the mirror. Can you explain this?
Click here to see answer by drk(1908)

Question 257072: Classify the conic section and write its equation in standard form.

Click here to see answer by drk(1908)

Question 257373: Find an equation for the indicated conic section.
P is for the Parabola with focus (3, 1) and directix = 7.
Click here to see answer by drk(1908)

Question 244602: What conic does the equation y=x^2 represent?
Click here to see answer by Alan3354(69443)

Question 257513: I need a little bit of help with conic sections as well.. (:
H is the hyperbola with center at (1,1), an x-intercept at (2,0), and one vertex at (5/4,1).

Any help given would be the best thing in the world! I'm stuck to say the least.
Click here to see answer by MRperkins(300)

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