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

Algebra ->  Quadratic-relations-and-conic-sections -> Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!      Log On


   



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


Question 461899: Write the equation of the hyperbola with a center at (0, 0), vertices along the major axis at (5, 0) and (-5, 0), and minor axis with a length of 4.
Thank you so so so so so so so so so so so so very much. I am struggling with this.

Click here to see answer by robertb(5830) About Me 

Question 461896: Write the equation of the ellipse that is centered at (-2, 4) and contains the following points: Vertices: (-8, 4) and (4, 4) Co-vertices: (-2, 7) and (-2, 1)
PLEASE AND THANK YOU THANK YOU THANK YOU!!!!!!!!!!!!!!!

Click here to see answer by robertb(5830) About Me 

Question 461956: Consider the curve whose parametric equations are x= 6t^3 and y=3t
and
an equation for this curve in rectangular coordinates is:

Click here to see answer by richard1234(7193) About Me 

Question 459114: how do I graph 25(x+4)^2 + (y-3)^2 =25
Click here to see answer by lwsshak3(11628) About Me 

Question 457667: 3x^2-5x+3y^2-8=0
write in standard form. Identify if it's a circle, parqabola, hyperbola, or an ellipse. Graph and label apporpriate parts.

Click here to see answer by lwsshak3(11628) About Me 

Question 458613: An ellipse has a vertex at (4,4) And a covertex at (2,5). Please find its equation in standard for and give the coordinates of the two focus points.
Click here to see answer by lwsshak3(11628) About Me 

Question 462331: What are the foci of the ellipse given by the equation [((x-2)^2)/36]+[((y-8)^2)/144]=1?
Please explain! I am having trouble with this.
Thank you!

Click here to see answer by graphmatics(170) About Me 

Question 457431: What conic is described by the equation 8x^2 + 8y^2 - 4x + y = 0. please show steps. Thank you.
Click here to see answer by lwsshak3(11628) About Me 

Question 462851: If a right circular cone intersects a plane that that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a(n) _____.
Click here to see answer by Edwin McCravy(20059) About Me 

Question 462980: find the vertex of the parabola: x^2-4x-4y+16=0
Click here to see answer by lwsshak3(11628) About Me 

Question 463005: What are the x– and y–intercepts of the quadratic equation y = (x – 3)2 – 25? Identify the x–intercepts by graphing the quadratic equation.
x–intercepts: (–2, 0) and (8, 0)
y–intercept: (0, –16)
x–intercepts: (2, 0) and (–8, 0)
y–intercept: (0, –16)
x–intercepts: (–2, 0) and (8, 0)
y–intercept: (0, –25)
x–intercepts: (2, 0) and (–8, 0)
y–intercept: (0, –25)

Click here to see answer by rfer(16322) About Me 

Question 463004: Which of the following is the equation of the axis of symmetry of the quadratic equation y = 2x2 + 24x + 62?
x = –6
x = 6
x = –10
x = 10

Click here to see answer by rfer(16322) About Me 

Question 459327: Please note that graphing is not allowed in solving this.
If x^2+y^2=9 and x-3y=3, then what are the values of x and y?

Click here to see answer by lwsshak3(11628) About Me 

Question 463063: what is the center of 4x^2+4y^2+32y=0
Click here to see answer by lwsshak3(11628) About Me 

Question 463470: what is the graph of (x+2)^2+(y-4)^2=9?
Click here to see answer by Gogonati(855) About Me 

Question 463574: Without writing them all out, what is the number of subsets of set A ={king, queen, knight, prince, princess, duke}?
Click here to see answer by MathLover1(20850) About Me 

Question 463573: The cardinal number of the set {rose, daisy, sunflower, marigold, azalea, orchid, lily, carnation, tulip, and violet} is _________.
Click here to see answer by richard1234(7193) About Me 

Question 463568: The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 32 said they had taken physics, 51 said they had taken chemistry and 15 said they had taken both. Ten said they had taken neither. How many recent high school grads were surveyed?
Click here to see answer by edjones(8007) About Me 

Question 463947: The function s(t) = 16t² is used to approximate the distance s, in feet, that an object falls freely from rest in t seconds.

Suspended 1053 ft above the water, the bridge over Colorado’s Royal Gorge is the world’s highest bridge. How long would it take an object to fall freely from the bridge?
Im not sure of how to solve this equation is there someone who might help with this question. I would appreciate your help. Thank you so much !

Click here to see answer by Alan3354(69443) About Me 

Question 463954: I need help with system of equations with 3 variables.
1. Solve x + y = z
-2x – 4y + z = -31
x + y + z = 22
2. 3x – y + 2z = 6
-x + y = 2
x – 2z = –5
3. Solve 2x + 3y + 3z = 5
4x + 5y + 3z = 13
3x + 2y – 2z = 13

Click here to see answer by Alan3354(69443) About Me 

Question 464634: solve this system of equation
2x+y-z=10
6x+5y-2z=23
3x-y+z=5

Click here to see answer by lwsshak3(11628) About Me 

Question 464938: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) = 6-x^2
Click here to see answer by ewatrrr(24785) About Me 

Question 464752: Given y = x 2 + 6x − 1, complete the square and convert the equation to y = a (x − h)2 + k form.
Click here to see answer by ewatrrr(24785) About Me 

Question 464886: x^2 - 4x + y^2 - 4y + 4 = 12
Click here to see answer by ewatrrr(24785) About Me 

Question 464984: I am taking integrated algebra online, and my teacher gave us two standard equations for a parabola in the conic section, but she failed to explain how we decide which one to use when given a problem like "focus (-2,1)and directrix x = 3". the two equations she gave us are the vertical equation "(x - h)^2 = 4p (y - k)" and the horizontal equation "(y - k)^2 = 4p (x - h) i know how to figure out what h, k, and p are but she didn't explain how we are suppose to determine which equation to plug our answers into. The two equations give you two different answers when you figure the problem out.
Click here to see answer by solver91311(24713) About Me 
Question 464984: I am taking integrated algebra online, and my teacher gave us two standard equations for a parabola in the conic section, but she failed to explain how we decide which one to use when given a problem like "focus (-2,1)and directrix x = 3". the two equations she gave us are the vertical equation "(x - h)^2 = 4p (y - k)" and the horizontal equation "(y - k)^2 = 4p (x - h) i know how to figure out what h, k, and p are but she didn't explain how we are suppose to determine which equation to plug our answers into. The two equations give you two different answers when you figure the problem out.
Click here to see answer by lwsshak3(11628) About Me 

Question 465041: Use a grapher to find the vertex, rounding to the nearest hundredth.
f(x) = x2 + 2x - 3

Click here to see answer by rfer(16322) About Me 

Question 464909: Write an equation for the hyperbola with vertices (0,4) and (0,-4) if the length of the conjugate axis is 6 units.
Click here to see answer by lwsshak3(11628) About Me 

Question 466062: The problem states, find and label the vertex and the line of symmetry.
f(x) = - 1/4x^2

Click here to see answer by ewatrrr(24785) About Me 

Question 466340: In which direction does the parabola that is given by the equation below open?
y = 2.5(x - 8)^2 + 3

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

Question 466873: solve the polynomial. (x+8)^2/9+(y+5)^2/81
Click here to see answer by Ryan O'Hara(46) About Me 

Question 466881: (x-12)*=12, what are the approximate solutions

Click here to see answer by Big Poop(157) About Me 

Question 467169: what is the foci, center, and vertices of (x+3)^(2)/(16)+(y-1)^(2)/(25)=1
Click here to see answer by lwsshak3(11628) About Me 

Question 467197: A conic section has the equation x^2-6x-y+4y-4=0. Which of the following are true? Check all that apply


A. The equation is a parabola with its vertex at (3, 2).

B. The equation is a circle with its center at (3, 2).

C. The equation is a hyperbola with one vertex at (0, 2).

D. The radius is 1.

E. The radius is 2.

F. The graph has asymptotes at y=x-1 and y=-x+5


Click here to see answer by Big Poop(157) About Me 
Question 467197: A conic section has the equation x^2-6x-y+4y-4=0. Which of the following are true? Check all that apply


A. The equation is a parabola with its vertex at (3, 2).

B. The equation is a circle with its center at (3, 2).

C. The equation is a hyperbola with one vertex at (0, 2).

D. The radius is 1.

E. The radius is 2.

F. The graph has asymptotes at y=x-1 and y=-x+5


Click here to see answer by solver91311(24713) About Me 

Question 467310: Can someone please tell me which conic each of the following equations are? Thank you in advance!!!
a. 12x^2 = 29y^2 - y + 39
b. 12x^2 - 29y = x + 39
c. 29y^2 + 12x^2 = x +39
d. 12y^2 + 29y = 39 - 12x^2
I posted this question earlier, but someone answered with no answer so I'm reposting. Thank you.

Click here to see answer by Alan3354(69443) About Me 
Question 467310: Can someone please tell me which conic each of the following equations are? Thank you in advance!!!
a. 12x^2 = 29y^2 - y + 39
b. 12x^2 - 29y = x + 39
c. 29y^2 + 12x^2 = x +39
d. 12y^2 + 29y = 39 - 12x^2
I posted this question earlier, but someone answered with no answer so I'm reposting. Thank you.

Click here to see answer by lwsshak3(11628) About Me 

Question 467379: how do you slove x= y squared-14y+25
Click here to see answer by jim_thompson5910(35256) About Me 

Question 467386: The odds against Lounging Larry winning the horse race are 3:8. Determine the probability that Lounging Larry wins the horse race.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 467395: A person spins the pointer on a wheel and is awarded the amount indicated by the pointer. 1/2 of wheel is worth $2.00, 1/4 of wheel is worth $10.00, and 1/4 of wheel is worth $15.00
It costs $8 to play the game.
Determine: The expectation of a person who plays the game.
The fair price to play the game.
Show your work for full credit.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 467396: Determine the probability that the spinner lands on green. The possible outcomes of this experiment are yellow, blue, green, and red
Probabilities:
Yellow 2/8
Blue 2/8
Red 3/8
Green 1/8
choose correct answer.
0.5
0.25
0.33
0.375
0.125

Click here to see answer by jim_thompson5910(35256) About Me 

Question 467398: Determine the odds against the spinner landing on red. The possible outcomes of this experiment are yellow, blue, green, and red
Probabilities:
Yellow 2/8
Blue 2/8
Red 3/8
Green 1/8
0.5
0.25
0.33
0.375
0.125

Click here to see answer by jim_thompson5910(35256) About Me 

Question 467397: The odds against Lounging Larry winning the horse race are 3:8. Determine the probability that Lounging Larry wins the horse race.
3/8
8/3
3/11
8/11
5/11

Click here to see answer by jorel1380(3719) About Me 

Question 467420: Identify the vertices and foci.
(x+3)^2/16+(y-1)^2/25=1

Click here to see answer by lwsshak3(11628) About Me 

Question 467654: p(x)=4x^4-37x^2+9
Click here to see answer by jorel1380(3719) 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