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

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Question 187294: Solve the linear system with a single solution or using the addtion and substitution method.
14)2x-y+3z=14
x+y-2z=-5
3x+y- z=2


18) x-3y+2z=-11
2x-4y+3z=-15
3x-5y-4z=5''.

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

Question 187456: Find a parabola equation y-k=a(x-h)^2 if its Vertex(3,2) and it contains the point (1,3)
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Question 187486: Write an equation. The equation of a parabola such that the minimum value of y is -6 and the graph has x-intercepts 3 and 7.
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Question 187799: Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection.

y = x^2 + 5x + 6
y = x + 11

Thanks

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

Question 187837: Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection.

y = x^2 + 5x + 6
y = x + 11

Thanks

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

Question 188331: graph y > 4x² - 8x + 3
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Question 188329: graph y ≤ x² - x - 20
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Question 188475: 3y2-x2=25
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Question 188504: The vertices of a triangle are given. Classify the triange as scalene, isosceles, or equilateral.
(-1,3), (6,1) (2,-5)

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Question 188602: Give the vertex, focus, directrix, and the distance across parabola at focus, and then graph the parabola.
x^2+6x+2y+15=0

Click here to see answer by Mathtut(3670) About Me 

Question 188599: Give the vertex, focus, directrix, and the distance across parabola at focus, and then graph the parabola.
y^2-8x-2y-15=0

Click here to see answer by Mathtut(3670) About Me 

Question 188598: Give the vertex, focus, directrix, and the distance across parabola at focus, and then graph the parabola.
y² - 8x - 4y + 12 = 0

Click here to see answer by Edwin McCravy(20056) About Me 
Question 188598: Give the vertex, focus, directrix, and the distance across parabola at focus, and then graph the parabola.
y² - 8x - 4y + 12 = 0

Click here to see answer by nerdybill(7384) About Me 

Question 188793: Find an equation of the ellipse with x-intercepts -5 and 5 and y-intercepts +-2 sqrt 3
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Question 188790: write the equation of a parabola with vertex (0,0) and focus (0,-2)
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Question 188877: Graph the parabola (x+1)^2=8(y-2)
Label the focus and the directrix.

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Question 188878: Graph 9x^2+y^2=9
Give the coordinates of the foci

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Question 189017: find the equation for a circle with ends of its diameter at points p(5,1) and Q(7,3). Write the answer in standard form.
A. (x+3)^2+(y-2)^2=32
B. x^2+y^2=32
C. (x+6)^2+(y-2)^2=2
D. (x-6)^2+(y-2)^2=2
please choose A,B,C or D

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Question 189071: Find the standard form of the circle x^2 + y^2 + 2x - 6y - 6 = 0
How do I solve this?
Please help.
Thank you.

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

Question 189091: graph the equation. Identify the conic section and describe the graph and its lines of symmetry. find the domain and range.
6x2 + 24y2 -96 = 0

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Question 189073: So now that I have the standard form of the cricle x^2+y^2+2x-6y-6=0 wich is (x+3)^2+(y-3)^2=4^2 would the center be: -3, 3 and the radius: 4, or would it be 16?
Click here to see answer by kitty_tin(5) About Me 
Question 189073: So now that I have the standard form of the cricle x^2+y^2+2x-6y-6=0 wich is (x+3)^2+(y-3)^2=4^2 would the center be: -3, 3 and the radius: 4, or would it be 16?
Click here to see answer by Earlsdon(6294) About Me 

Question 189124: x2/a2 - x2/a2 = 1
if the four points in a are joinde to form a quadrilateral classify the quadrilateral?

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Question 189164: For the following questions consider the basic upward opening parabola y=x2 (x squared).
In this parabola, as the x-value increases toward positive infinity, does the y-value also increase towards infinity?

Click here to see answer by feliz1965(151) About Me 

Question 189085: The cable for a suspension bridge is shaped like a parabola. The towers are 100 ft tall and 800 ft apart. It touches the roadway at the center. How long are the support cables at 50 ft, 200 ft, and 350 ft from the center?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 189207: y=x2-6x+11












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Question 189361: Find the standard form of the hyperbola given by the equation 4x^2 - 25y^2 - 50y - 125= 0
Please help!
Thank you!

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Question 189360: Find the standard form of the ellipse given by the equation x^2 + 25y^2 -2x + 150y + 201 = 0
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Question 189469: For the given sequence, identify if it is an aritmetic sequence by answering yes or no. If yes, then identify the common difference.

1. –9, 0, 9, 18, ...

2. 0.1, 0.01, 0.001, 0.0001, ...

3. Find the 25th term of the arithmetic sequence 26, 13, 0, –13, ...

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Question 189470: For the given sequence, identify if it is an aritmetic sequence by answering yes or no. If yes, then identify the common difference.

1. 1/6,1/3,1/2,2/3

For these quesions please find the missing term of each arithmetic sequence.(?) means number that goes there?
8,(?),20

3.5,(?),12.5

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Question 189464: Multiply. State any restrictions on the variable


x^2+6x-7/x^2+5x times 3x^2+16x+5/2x^2+7x-9

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

Question 189459: 1. Choose the equation of the parabola with a vertex at the origin and a focus at (0, –3).

1: Y=-1/3X
2: Y=1/12X^2
3: Y=-1/3X^2
4: Y=-1/12X^2

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Question 189717: How do i get rid of a coefficent in order to make the equations for ellipses and hyperbolas in standard form? like in the problem: 25(x+4)2 + (y-1)2 = -75
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Question 189755: x^2+y^2-12x-24y+36=0
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Question 190047: Find the length of the major and minor axis of the ellipse.
16x^2 + 9y^2 = 144

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Question 190045: Find the foci length for the ellipse: 3x^2 + 9y^2 = 27
Please help!

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Question 190046: Find the length of the major and minor axis for the ellipse. 3x^2 + 9y^2 = 27
Please help!
How do I find this?

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Question 190071: Find the center of the ellipse 16x^2 + 25y^2 + 32x - 150y = 159
Click here to see answer by stanbon(75887) About Me 
Question 190071: Find the center of the ellipse 16x^2 + 25y^2 + 32x - 150y = 159
Click here to see answer by scott8148(6628) About Me 

Question 190408: How do I sketch the graph for this equation?
{x^2+y^2=9
{16x^2+9y^2=144

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Question 190405: y^2-8y-8x+64=0
Click here to see answer by Mathtut(3670) About Me 

Question 190691: determine whether the following equations represent a parabola, circle, ellipse or hyperbola
4x^2 + 6y^2 - 4x - 9y + 12 = 0
3x^2 + 2x - 5y + 12 = 0
4x^2 + 4y^2 -4x + 9y + 1 = 0
9x^2 + 12 y^2 + 4x + 4y + 4 = 0
5x^2 - 2y^2 + 2x - 6y - 6 = 0
How do I determine this?

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Question 191056: y=5(x+2)^2+7
for the parabola find:
the vertex,
focus,
directrix line (line y=)
length of the latux rectum

Click here to see answer by Mathtut(3670) About Me 

Question 191554: Find the standard form of the equation of each ellipse satisfying the given conditions; Endpoints of major axis:(7,9) and (7,3)
Endpoints of minor axis: (5,6) and (9,6)

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Question 191572: find the standard form of the ellipse 4x^2+y^2-8x-2y-4=0
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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