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

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Question 737542: (x-12)^2/36-(y+3)^2/49=1
I need the step by step help to get it into y=
I do not get this!
Click here to see answer by MathLover1(20850)

Question 737637: Write the equation of the circle x^2+10x+y^2-6y+29=0 in standard form. Find the radius and center of the circle.
More than an answer I need an explanation please. I have seen how some people "complete the square", and I don't know how to do that.
Thank you in advance.
Click here to see answer by Alan3354(69443)

Question 738088: What is the equation of an ellipse with a major axis 8 units long and foci (0,2) and (6,2).
Click here to see answer by josgarithmetic(39618)

Question 738106: write the standard form of the equation of the parabola with the directrix x=(-1/2) and vertex at (0,0)
Click here to see answer by lwsshak3(11628)

Question 737799: How do you find an equation of the parabola with vertex (-3,-4) and focus (-3,-3)?

Click here to see answer by lwsshak3(11628)

Question 737564: Hyperbolas:
Graph each hyperbola. Identify the verices, foci, and asymptotes
X^2/4 - y^2/16 = 1
Click here to see answer by lwsshak3(11628)

Question 737563: Parabolas:
Write each question in standard form. Identify the vertex, axis of symmetry and direction of opening of the parabola.
y=x^2+2x+2
Click here to see answer by lwsshak3(11628)

Question 737544: (y-2.5)^2=4p(x-12)
I need the step by step help to get it into y=
I do not get this!
Click here to see answer by lwsshak3(11628)

Question 738317: Simplify the hyperbola 36x^2-4y^2+216x-40y+80
Click here to see answer by MathLover1(20850)

Question 738632: I need help finding a) vertex b) vertices c) foci d) major axis and e) minor axis of the ellipse: 9x^2-18x+4y^2-27=0
Click here to see answer by Ed Parker(21)

Question 738675: Please show me how to solve for x.
(x+1)2-(x-1)2=32
The number 2 is an exponent.
Click here to see answer by MathLover1(20850)

Question 739194: What is the equation of the directrix of a parabola defined by the equation
y = x2 − 2x − 3
Click here to see answer by richwmiller(17219)

Question 739168: Write the equation of the conic section satisfying the given conditions
vertices (3,5) and (3,-5) and minor axis of length 4
Click here to see answer by lwsshak3(11628)

Question 739368: What type of graph is:
x^2+y^2-8x+6y+24=0
Click here to see answer by richwmiller(17219)

Question 739366: What type of graph is:
5x^2+2y^2+30x-16y+67=0
Click here to see answer by richwmiller(17219)

Question 739366: What type of graph is:
5x^2+2y^2+30x-16y+67=0
Click here to see answer by MathLover1(20850)

Question 739255: Please help me on these questions I'm so lost:
Click here to see answer by richwmiller(17219)

Question 739363: What type of graph is:
6x^2-24x-5y^2-10y-11=0
Click here to see answer by richwmiller(17219)

Question 739407: What type of equation is:
X^2+2x+7-y=0
Click here to see answer by Alan3354(69443)

Question 739485: name the vertex, focus, and directrix of y=1/4(x-2)^2
Click here to see answer by lwsshak3(11628)

Question 739473: Graph the equation. Identify the focus and directrix of the parabola.
x^2=2y
How do you get that equation into the X^2=4py formula
Click here to see answer by lwsshak3(11628)

Question 738653: Find a) vertex, b ) focus, c) directrix, d) symmetry axis, e) focal distance of the parabola of this equation, and sketch it:
y^2+y-x-1=0
Click here to see answer by lwsshak3(11628)

Question 739602: Hi, I need some help with this equation: y=-1/6x^2 . the one i did before was Y=1/4x^2 and i understood that one but this ones seems like the complete opposite . i know that the negative sign means that it will be pointing down. but that's all i know. i dont know how to get the foci or vertex of it.i do know it's a parabola though. Help?
Click here to see answer by richwmiller(17219)

Question 739678: Write the standard equation for each Hyperbola.
1. x2 - 100y2 = 100
2. 4y2 - 25x2 = 100
3. vertices (-6, 0) ( 6, 0) and
focus (-8, 0) ( 8, 0)
4. vertices ( 0, -12) ( 0, 12) and
co-vertices (-11, 0) (11, 0)
Click here to see answer by lwsshak3(11628)

Question 740036: Rotate the axis to eliminate the xy-term in the equation. Then write the equation in standard form. Sketch the graph of the resulting equation, showing both sets of axes.
(2x^2)+ xy + (2y^2)- 8 = 0
Please and Thank You :)
Click here to see answer by lynnlo(4176)

Question 740130: x^2-4x-8y+2=0 i know it is a parabola but i do i put it into standard form

Click here to see answer by MathLover1(20850)

Question 740135: Consider the path of a projectile projected horizontally with a velocity of v feet per second at a height of s feet, where the model for the path is y=(-16/v^2)t^2 + s. (Air resistance is disregarded and y is the height (in feet) of the projectile t seconds after its release). A ball is thrown from the top of a 75-feet tower with a velocity of 32 feet per second.
a). Find the equation of the parabolic path.
b). How far does the ball travel horizontally before striking the ground?
Click here to see answer by ankor@dixie-net.com(22740)

Question 740503: y=x^2-8x+13
Write in standard form
Click here to see answer by stanbon(75887)

Question 740503: y=x^2-8x+13
Write in standard form
Click here to see answer by lynnlo(4176)

Question 740497: please help me find an equation for the ellipse that satisfies the given conditions.
Endpoints of minor axis (0, �6), distance between foci 14
Click here to see answer by lwsshak3(11628)

Question 740432: I need some help solving a problem. The problem:
Find the standard form of the hyperbola given below. Find also the vertices, foci, and asymptotes, determine the eccentricity.

Click here to see answer by lwsshak3(11628)

Question 740845: What is the focus, directrix, and axis for the parabola y^2=40x ?
Click here to see answer by lynnlo(4176)

Question 740852: What is the center and radius of the circle x^2+y^2-8x-10y+32=0 ?
Click here to see answer by lynnlo(4176)

Question 740872: Find the vertex and y-intercept of the parabola with the following equation
y^2 + 8x - 4y = 28
Click here to see answer by lynnlo(4176)

Question 740773: Find the nth term of the sequence

1/5, 1/3, 3/7, 1/2, 5/9, 3/5, 7/11, 2/3, 9/13, 5/7, 11/15, 3/4, 13/17,...
Click here to see answer by lynnlo(4176)

Question 740859: What is an equation for the ellipse: x-intercepts +-4; y-intercepts +-8
a) x^2/8+y^2/4=1
b)x^2/16+y^2/64=1
c)x^2/4+y^2/8=1
d)x^2/64+y^2/16=1
Click here to see answer by josgarithmetic(39618)

Question 741152: help me please!
a dog trainer has 80 ft of fencing that will be used to create a rectangular work area for dogs . if the trainer wants to enclose an area of 300 ft what will be the dimensions of the work area

Click here to see answer by stanbon(75887)

Question 741211: Find the sum of the first 220 positive even integers.
A)48,180
B)48,620
C)48,841
D)48,400
Click here to see answer by mananth(16946)

Question 741209: Write the binomial expansion of the expression:
(4x+2)^4
A)(16x^2+8x+4)^4
B)512x^4+1024x^3+384x^2+256x+16
C)256x^4+512x^3+324x^2+128x+16
D)256x^3+512x^2+384x+128
Click here to see answer by Alan3354(69443)

Question 741422: yz = 5, how do I write this in logarithmic form?
Click here to see answer by Alan3354(69443)

Question 741584: Write and equation of the ellipse with vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2). How do i do this if there are two numbers instead of one in the points?
Click here to see answer by josgarithmetic(39618)

Question 741619: 3x^(2)+6x+y^(2)-6y=-3 How do i put this into form for graphing

Click here to see answer by josgarithmetic(39618)

Question 741758: 1. Which of these parent graphs is a hyperbola?
y = e^x

y = 1/x

y = x^3

y = x^2

Click here to see answer by lynnlo(4176)

Question 741748: Find the center, the vertices, the foci, and the asymptotes. Then draw the graph.
y^2-4x^2=4
Click here to see answer by lynnlo(4176)

Question 741741: what kind of conic is this 3x 2 + 2x - 5y + 7 = 0

Click here to see answer by lynnlo(4176)

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