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

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Question 472588: Solve the system of equations below by the substitution method.
-5x+8y=-18
-10x+16y=-14
a.(-11/10,-11/16)
b.(-11/16,-11/10)
c.(11/16,11/10)
d.no solution
e.(-5/2,25/16)

Click here to see answer by MathLover1(20850)

Question 472765: Please help me with this I've never heard of these nor have I done these.
Find the length of the major and minor axes for this ellipse.?
1.) (x^2/16)+(y^2/25)
2.) (x^2/100)+(y^2/25)
Find the length of the major and minor axis for this ellipse.
3.) x^2+4y^2=33

These are the 3 most difficult problems I've ever come across.
If someone can please break this down for me I would greatly appreciate it...
I've been on these for hours and keep making minor mistakes in between steps..
so much so that I have no idea where I am at... PLZ help!!!

Click here to see answer by stanbon(75887)

Question 472808: I need to know what is the center, vertices, and foci of this ellipse
4x2+y2-8x-2y+1=0
Click here to see answer by Edwin McCravy(20056)

Question 472915: I have the parabola
___
y=√x-4 (principal square root)
____
x=√y-9
How do I graph these and find out if it opens to the left, right, up, down also what quadrant does it occupy

Click here to see answer by Theo(13342)

Question 473097: (x-6)^2+(y+5)^2=21
Click here to see answer by MathLover1(20850)

Question 473052: find the equation of circle passing thriugh the focus of the parabola and foci of the ellipse

Click here to see answer by Alan3354(69443)

Question 473375: which is it symmetric with: x-axis, y-axis or origin?
y^2=x^2+4
Click here to see answer by stanbon(75887)

Question 473581: What is the variance ?
What is the standard deviation of the scores?
10|0
9 |2,4,5
8 |1,2,7,9
7 |1,2,8
6 |1,2,8
5 |1,5

Click here to see answer by Edwin McCravy(20056)

Question 472970: Find the equation in standard form of an ellipse with center at (0,0) minor axis of length 18, and foci at (0,-12) and (0,12).
a. (x^2/225)+(y^2/81)=1
b. (x^2/144)+(y^2/81)=1
c. (x^2/81)+(y^2/225)=1
d. (x^2/9)+(y^2/15)=1
e. (x^2/15)+(y^2/9)=1
Click here to see answer by lwsshak3(11628)

Question 473988: Show that the equation represents
an ellipse if C is any constant less than 5.
a hyperbola if C is any constant bewteen 5 and 9.
no real locus if C is greater than 9
Click here to see answer by richard1234(7193)

Question 473981: Show that the equation (x^2)/(5-C) + (y^2)/ (9-C)=1 represents
- an ellipse if C is any constant less than 5.
- a hyperbola if C is any constant between 5 and 9.
- no real locus if C is greater than 9.
Click here to see answer by robertb(5830)

Question 474595: What is the square root to 16
Click here to see answer by jorel1380(3719)

Question 474213: Find the vertices of a hyperbola with the equation (x + 3)2 � 4(y � 2)2 = 4.
Click here to see answer by lwsshak3(11628)

Question 474864: Without graphing, classify eachj of teh following conics by just inspecting and analyzig the nature of teh equation:

+=1

Click here to see answer by lwsshak3(11628)

Question 475138: I need be able to find the center, vertices, and foci of the ellipse with the equation 4x2 + y2 - 8x + 4y - 8 = 0.. I can't seem to get it right!
Click here to see answer by lwsshak3(11628)

Question 475149: What is Sn of the geometric series with a1 = �81, r = �2/3, and n = 5?
THANKS FOR THE HELP :)
Click here to see answer by Theo(13342)

Question 475095: How do I put this equation in standard hyperbola form AND then find the coordinates of the foci? My biggest problem is putting it in standard hyperbola form because I am bad at factoring!
-16x^2 + 25y^2 - 32x - 250y + 209 = 0
Click here to see answer by lwsshak3(11628)

Question 474193: Find the vertices of a hyperbola with the equation (x + 3)2 � 4(y � 2)2 = 4.
Click here to see answer by lwsshak3(11628)

Question 475249: Which is the standard form of the equation where the point (-2,4) is on a circle whose center is the origin?
Click here to see answer by stanbon(75887)

Question 475250: What are the foci of the ellipse 8x2 + 12y2 = 96? show work
Click here to see answer by robertb(5830)

Question 475247: What is the directrix of the parabola with equation 36x = 9y2? show work please
Click here to see answer by robertb(5830)

Question 475246: What is the directrix of the parabola with equation -28y = x2? show work please?
Click here to see answer by robertb(5830)

Question 475245: What is the focus of the parabola with equation 16y = x^2? show work please :)
Click here to see answer by robertb(5830)

Question 475259: What are the foci of the ellipse 17x2 + 8y2 = 136? show work please
Click here to see answer by lwsshak3(11628)

Question 473985: Consider the conic . Answer the following without graphing:
Does it pass through the origin?why?
What is the maximum value of y?Justify.
For what values of x is y defined?Justify.
Click here to see answer by lwsshak3(11628)

Question 475284: find the focus 1/4(x-2)^2=(y+3)
and find the vertex and Directrix of -1/8(y+3)^2=(x-1)
thank you
Click here to see answer by lwsshak3(11628)

Question 474233: What is the focus of the parabola with the equation (x � 1)2 + 32 = 8y?
What is the directrix of the parabola with the equation y + 3 = 1/10(x + 2)2?

What is the axis of symmetry of the parabola with the equation x � 4 = 1/4(y + 1)2?
Find the slopes of the asymptotes of a hyperbola with the equation y2 = 36 + 4x2.
Thank you for your time its much appreciated
Click here to see answer by lwsshak3(11628)

Question 475590: Please help poh...
Where is teh point whosw coordinates is (0.1,3.1) in the unit circle? Is it in the interior?,exterior?, or in teh circle itsefl?Why? (discuss how you arrived the answer)
Click here to see answer by richard1234(7193)

Question 476299: Find the center of an ellipse with this problem. (x+4)^2/100+(y+5)^2/25=1

Click here to see answer by stanbon(75887)

Question 476512: find the minor axis of the ellipse using the givin equation [(x+4)^2 over (6^2)] + [(y+8)^2 over (7^2)]=1
Click here to see answer by lwsshak3(11628)

Question 476701: Which type of conic section is given by the following equation
(y-3)^2/4^2-(x+2)^2/6^2=1?
Click here to see answer by Alan3354(69443)

Question 476629: find the center, the vertices, foci, and the asymptotes of the hyperbola. then draw the graph.
x^2-y^2+4x+6y-6=0
Click here to see answer by lwsshak3(11628)

Question 476727: Put the equation in standard form for an ellipse
100x^2-200x+9y^2+18y=791
Click here to see answer by stanbon(75887)

Question 476727: Put the equation in standard form for an ellipse
100x^2-200x+9y^2+18y=791
Click here to see answer by lwsshak3(11628)

Question 476800: Hi I am having some difficulties with this problem. I hope you can help. Thanks in advance.
Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75.
Thanks
Click here to see answer by lwsshak3(11628)

Question 470031: (a)Find the domain of the function, (b) decide if the function is continuous, and (c) identify any horizontal and vertical asymptotes.
f(x)= 4/((x-2)^3)
Click here to see answer by lwsshak3(11628)

Question 478978: Can someone please help me answer these questions?

Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y^2 -2x^2 -16=0

Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y= x^2 +3x+1
Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x2 +y^2 =x+2

Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 +4y^2 +2x -24y +33 =0

Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 + y^2 -8x -6y +5 = 0
Click here to see answer by stanbon(75887)

Question 479182: Sketch a narrow parabola that spills water and hasa turning point of (0,3). Will this parabola have real or complex roots?
Click here to see answer by Edwin McCravy(20056)

Question 479179: find seven points for each function. Then sketch the parabola.
f(x)=-5x^(2)
Click here to see answer by Edwin McCravy(20056)

Question 479179: find seven points for each function. Then sketch the parabola.
f(x)=-5x^(2)
Click here to see answer by Alan3354(69443)

Question 479181: find seven points for each function. Then sketch the parabola.
f(x)=7x^(2)
Click here to see answer by Alan3354(69443)

Question 479184: Sketch a parabola with real roots and a turning point of (0,-7). Is the turning point a minimum or maximum vaue for f(x)?
Click here to see answer by lwsshak3(11628)

Question 477604: 1.The equation of the parabola whose focus is at (-3, 0) and directrix x = 3 is:
2.The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is:
3.The equation of the parabola whose focus is at (7, 0) and directrix at x = -7 is:
Click here to see answer by lwsshak3(11628)

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