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

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Question 43859: Write 36x^2-360x-25y^2-100y=100 in standard form. Then state whether the graphs of the equation is a parabola, circle, ellipse, or hyperbola.
Thank You

Click here to see answer by fractalier(6550) About Me 

Question 43855: Graph: 16x^2+9y^2=144.
Thank You

Click here to see answer by fractalier(6550) About Me 

Question 43949: graph the equation, then choose the correct coordinates of the foci.
y^2 = 5x^2 + 25

Click here to see answer by Nate(3500) About Me 

Question 43854: Write an equation for the parabola with focus (4,0) and directrix y=2.
Thank You

Click here to see answer by Nate(3500) About Me 

Question 43858: Write an equation for the ellipse with end points of the major axis at (7,1) and (-7,1) and end points of the minor axis at (0,5) and (0,-3).
Thank You

Click here to see answer by Nate(3500) About Me 

Question 43948: Find an equation of the ellipse having the given points as foci and the given number as sum of focal radii.
(0,-5); (0,5); 20

Click here to see answer by venugopalramana(3286) About Me 

Question 43904: I have one more problem that I need help in solving....I hope someone can help me. Thank you for your time and for all your help!
y=x^2+4x+5
Please include:
a) opens up, down, right or left
b)vertex
c) axis of symmetry
d) X-intercept
e) y-intercept
f)graph
Thanks a bunch again! smccollough1

Click here to see answer by stanbon(75887) About Me 

Question 42622: "Graph the equation, then choose the correct coordinates of the foci.
y^2= 5x^2+25." I graphed it but for some reason I keep getting the wrong answer for the foci. I could use some help! Thanx!

Click here to see answer by Nate(3500) About Me 

Question 44360:
1.What is the equation of the directrix of the parabola with equation x=4y2+16y+19?
2. What is the length of the major axis of the ellipse with equation 4(x+4)2+9(y-1)2+36?
3. What are the foci of the ellipse with equation x2+4y2=36?
4. What are the slpoes of the asymptotes of the hyperbola with equation 4x2-y2+8x-6y=9?

Click here to see answer by stanbon(75887) About Me 

Question 44637: I NEED HELP....I have tried everything and am STUCK on this one..
f(x)=xsquared - x + 5/4

Click here to see answer by josmiceli(19441) About Me 

Question 44643: I really need help with parabola, and plotting other points for this problem.
Thanks for your help.
1/5x^2 + 2/5x - 4/5

Click here to see answer by stanbon(75887) About Me 

Question 46053: I need help finding the center, vertices, and foci for the following equation:
(x+3)^2/9 + (y+1)^2/16 = 1
Any help will be greatly appreciated.

Click here to see answer by venugopalramana(3286) About Me 

Question 46052: I am trying to find the center, vertices, and foci of the ellipse of the following equation:
x^2/49 + y^2/36 = 1
Any help will be greatly appreciated.

Click here to see answer by venugopalramana(3286) About Me 

Question 46224: Please explain why the graph of (x-h)^2 = 4p(y-k) has a y-intercept of
(0, h^2/4p +K). Thanks.

Click here to see answer by Nate(3500) About Me 

Question 46294: Use these additional characteristics, to write the equation of the hyperbola:
it has asymptotes y=2/3x and y=-2/3x
a horizontal transverse axis, and
one vertex is located at (-3,0).

Click here to see answer by Nate(3500) About Me 

Question 46295: What conic section is represented by this equation:
4(x-3/2)^2 + 4(y+7/2)^2 = 100

Click here to see answer by Nate(3500) About Me 

Question 46521:
Good evening, i have this problem about physic. i can not work out .Please would u work for me ?
Potential gravitational enery( defined as 'mass' mulitiplied by 'gravitational acceleration' by "height" - or mgh ) is one form of energy, and and kinetic energy ( defined as half the product of 'mass' mulitiply by 'velocity squared' - or mv2/2 ) is another. Assuming the conservation of energy ( and that there are no resisting forces ), from what height would a car have to fall to gain the kinetic energy it it would have when going at 60 kilometers per hour?
Please solve this problem for me.
Yours faithful student Emma Mode

Click here to see answer by Earlsdon(6294) About Me 

Question 46730: The graph of xsquare unit +y square unit =9 is translated 4 units to hte right and 5 units up. Find the equation of the new circle.
Click here to see answer by consc198(59) About Me 

Question 41391: y=2sin(1/4)x
Click here to see answer by consc198(59) About Me 

Question 47605: Please help us with this problem..
Graph each equation. Each graph is a semi-elipse, since the square root of A is always non-negative.
y=3square root 1-x^2

Click here to see answer by Nate(3500) About Me 

Question 47606: Please assist us with this question..
In the following exercises, v denotes the vertex of a parabola, f the focus and d the directrix. Two of these are given. Find the third.
f(-2,5) v(-2,+1)
Thanks!

Click here to see answer by Nate(3500) About Me 

Question 47755: express in exponential form: log squared 1/8=-3
sorry that i couldnt find the squared symbol so i just wrote it in. thanks and i hope you can help me with this question

Click here to see answer by stanbon(75887) About Me 

Question 47753: find the least common denominator of the rational expression with denomonators of 9x-63 and 12x-84.
i do no know how to find the correct way to do this.
thanks!
i hope you can help me! :)

Click here to see answer by stanbon(75887) About Me 

Question 47752: i dont know how to find the awnser to this
write the equation in standard form for the ellipse with foci (3,0) and (-3,0) and the endpoints on the vertical axis of (0,6) and (0,-6)
thanks i hope you can help!

Click here to see answer by stanbon(75887) About Me 

Question 47317: please help me solve the problem,
What is the center of the hyperbola?
(x-2)^2/9-(y-5)^2/4=1
is it (3,2) 0r (9,4) or (2,5)
i tryed grafting this but it doesn't give any center when i graft it where did i go wrong?

Click here to see answer by stanbon(75887) About Me 

Question 47754: find all real solutions:
2squaredx-24(2squared)=256
i do not understand how to get the awnser to this problome. i hope that you can help me. sorry that i couldnt find a small 2 for the squared so i just wrote it in. thanks and i hope you can help!

Click here to see answer by tutorcecilia(2152) About Me 

Question 47791: write the equation in standard form:
xsquared+ysquared-6x-4y+13=36
sorry that i cant find a small 2 for the squared. i hope this makes sense. please help me figure this out. thanks so much!

Click here to see answer by pizza(14) About Me 
Question 47791: write the equation in standard form:
xsquared+ysquared-6x-4y+13=36
sorry that i cant find a small 2 for the squared. i hope this makes sense. please help me figure this out. thanks so much!

Click here to see answer by stanbon(75887) About Me 

Question 47792: a varible z varies jointly with x and the square of y. if z=5 when x=3 and y=4, find the constant of proportionality, k.
i can not figure this out. please help me. thanks so mcuh :)

Click here to see answer by stanbon(75887) About Me 

Question 47794: identify the function represented by the equation: y=[2x]
i dont know this function please help
thanks a ton
:)

Click here to see answer by stanbon(75887) About Me 

Question 47796: solve:ln(4x+6)=6
how do i solve this?
i am lost
thanks for helping
:)

Click here to see answer by stanbon(75887) About Me 

Question 47797: find the midpoint of a line segment connecting the points: (5,11) and (10,-10)
i think i know the anwser to this but i just want to make sure
thanks for your help
:)

Click here to see answer by mszlmb(115) About Me 

Question 47803: solve:
log3(x+7)-log3x=3
please help
i cant figure this one out
thanks a bunch!

Click here to see answer by Nate(3500) About Me 

Question 47795: solve:ln(4x+6)=6
how do i solve this?
i am lost
thanks for helping
:)

Click here to see answer by Nate(3500) About Me 

Question 47804: approximate the value: log5 20
i dont know how to do this one
please help me
thanks a ton :)

Click here to see answer by consc198(59) About Me 

Question 47802: find all real solutions: 2squaredx-24(2squared)=256
i know this doesnt make much sense. i had to put squared in as words because i cant get the symobol you know the small 2
thanks for all fo your help

Click here to see answer by consc198(59) About Me 

Question 47800: find the asymptotes: f (x)=2
---
x squared -9
i hope that equation made sense
it should be right on top of eachother but i cant seem to do that.
thanks for your help

Click here to see answer by longjonsilver(2297) About Me 
Question 47800: find the asymptotes: f (x)=2
---
x squared -9
i hope that equation made sense
it should be right on top of eachother but i cant seem to do that.
thanks for your help

Click here to see answer by venugopalramana(3286) About Me 

Question 47825: Find the x & y intercepts of:
a.) %28x%5E2%29%2F4+-%28y%5E2%29%2F9+=+1
b.) x%5E2%2By%5E2+=+9
can someone show me the process of how to find the x & y intercepts for the above?? thank you for any of your help!!:-)

Click here to see answer by venugopalramana(3286) About Me 

Question 47864: use a table to graph they function



y=x^2 - 4 +3

ho do u graph it including the parabolas and axis of symetry and the vertex as a maximum or minumum

Click here to see answer by Nate(3500) About Me 

Question 47865: write the equation of the axis of symetry and find the coodinates. identify the vetext as a maximum or miumum

y=3x^2-6x-4

Click here to see answer by Nate(3500) About Me 
Question 47865: write the equation of the axis of symetry and find the coodinates. identify the vetext as a maximum or miumum

y=3x^2-6x-4

Click here to see answer by stanbon(75887) About Me 

Question 48302: I need help, I can't seem to grasp this concept. The question is.. identify the center, vertices, foci, and equations of the asymptotes of the hyperbola: 25y^2 - 9x^2 - 100y - 54x - 206 = 0. If you can help it would be greatly appreciated. Thank you lots.
Click here to see answer by venugopalramana(3286) About Me 

Question 48322: Please im asking for your guys devine help.Your assisstance would be very very important to me.So please offer me a helping hand.
1)Find the foci of an ellipse with the equation 7(x - 2)2 + 3(y - 2)2 = 21.
2)Find the slopes of the asymptotes of a hyperbola with the equation y2 = 36 + 4x2.
3)What is the graph of the equation 6x2 - 24x - 5y2 - 10y - 11 = 0?
4)What is the graph of the equation 5x2 + 2y2 + 30x - 16y + 67 = 0?
5)What is the graph of the equation x2 + y2 - 8x + 6y + 24 = 0?
6)What is the graph of the equation x2 + 2x + 7 - y = 0?
7)Identify the solutions to the system of equations:
y2 - x2 = 16
x2 - y2 = 16
8)Identify the solutions to the system of equations:
x2 + y2 = 25
16x2 + 25y2 = 400

Click here to see answer by Nate(3500) About Me 

Question 48380: Please im asking for some help in solving the following. I would really and truly appreciate some help from you guys.Cheers.

1)What is the graph of the equation 6x2 - 24x - 5y2 - 10y - 11 = 0?
a. parabola
b. circle
c. ellipse
d. hyperbola
2)What is the graph of the equation 5x2 + 2y2 + 30x - 16y + 67 = 0?
a. parabola
b. circle
c. ellipse
d. hyperbola
3)What is the graph of the equation x2 + y2 - 8x + 6y + 24 = 0?
a. parabola
b. circle
c. ellipse
d. hyperbola
4)What is the graph of the equation x2 + 2x + 7 - y = 0?
a. parabola
b. circle
c. ellipse
d. hyperbola
5)Identify the solutions to the system of equations:
x2 + y2 = 25
16x2 + 25y2 = 400
a. no solutions
b. (5, 0)
c. (-5, 0)
d. (5, 0) and (-5, 0)
7)Identify the solutions to the system of equations:
y2 - x2 = 16
x2 - y2 = 16
a. no solutions
b. (4, 0)
c. (-4, 0)
d. (4, 0) and (-4, 0)

Click here to see answer by Nate(3500) About Me 

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