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

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Question 847657: How would I solve: (36x^2)/49 + (16y^2)/9 = 1
Click here to see answer by Alan3354(69443)

Question 847657: How would I solve: (36x^2)/49 + (16y^2)/9 = 1
Click here to see answer by richwmiller(17219)

Question 847583: find an equation of the ellipse having the given foci and sum of focal radii (-5,1), (3,1); 16 and graph it
Click here to see answer by ewatrrr(24785)

Question 847581: find an equation of the ellipse having the given foci and sum of focal radii (-3,-3),(-3,3); 8 and graph it
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Question 847579: find an equation of the ellipse having the given foci and sum of focal radii (6,0),(6,6);10
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Question 847862: put into standard form 9x^2-16y^2+54x+160y-320=0
Click here to see answer by lwsshak3(11628)

Question 847987: Graph the equation. Find the lines of symmetry, the domain, and the range
X^2+36y^2=144
Click here to see answer by ewatrrr(24785)

Question 848107: Which of these is the standard form equation for an ellipse with foci at (3, 0) and (-3, 0), and vertices at (4, 0) and (-4, 0)?
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Question 848246: Write the vertex form equation for the parabola
opens left or right; vertex:(7,0); passes through(6,-1)
Click here to see answer by josgarithmetic(39618)

Question 848626: This is a multiple choice question. The graph of the equation is; a. a circle, b. a hyperbola, c. an ellipse, d. a parabola
Choice a. and b. are ruled out.
Click here to see answer by swincher4391(1107)

Question 848401: find the equation of the ellipse having the following properties :
1. center at (3,5), vertex at (-2,5) focus at (6,5).
2.Center at (2,3) vertex at (2,-1) and LR=9/2
3. center at origin, focus at (squareroot of 3,0) passing through (1, squareroot of 3/2)
Click here to see answer by lwsshak3(11628)

Question 849018: Find the vertex, focus and directrix of the parabola y= -3x^2+12x-8 without completing the square and determine whether the parabola opens upward or downward
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Question 849052: I am taking an online class and it did not come with a book! If someone could at least show me how to work it out, that would be much appreciated!
Find the center, vertices, and foci of the hyperbola given by the equation (y-6)^2/4 - (x-4)^2/5 = 1.
Click here to see answer by ewatrrr(24785)

Question 849153: The standard form of the equation of a parabolas is y=2x^2+16x+17 what is the vertex form of the equation?

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Question 849158: I am trying to get ahead on my homework. How do you find the focus point of y^(2)=(8/3)x? Because from there I have to find the latus rectum. I know how to do that part from the focus point. Thank you!!
Click here to see answer by lwsshak3(11628)

Question 848901: Find the focus, vertex, directrix , axis, and latus rectum of the parabola, y2 =8x-8y
Click here to see answer by lwsshak3(11628)

Question 848179: find an equation of a parabola with a vertex at the origin and directix y=-1.5
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Question 848176: identify the type of conic sections that has the equation
4x^2+25y^2=100
And identfy its domain and range
Click here to see answer by lwsshak3(11628)

Question 848088: Find the vertices,foci,and asymptotes of the hyperbola. Then sketch the graph ((y^2)/(16))-((x^2)/(4))=1
Click here to see answer by lwsshak3(11628)

Question 847799: find the equations of the asymptotes of the hyperbola x^2 -9y^2=18
Click here to see answer by lwsshak3(11628)

Question 849530: Identify the type of conic section that has the equation x^2+y^2=81. Identify the domain, range, and axes of symmetry of the conic section.
Click here to see answer by richwmiller(17219)

Question 849799: 1. Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
Vertex at (-5,0) ad co-vertext at (0,4)
Click here to see answer by lwsshak3(11628)

Question 850031: Solve { { { x^2+6x+9=25 } } } by using the Square Root Property.
Click here to see answer by stanbon(75887)

Question 850028: Write { { { 3/2( x-2)^2-1 } } } in standard form.
Click here to see answer by josh_jordan(263)

Question 850125: please can you help me answer this question on my last quiz that I have failed. (x)^2/9 + (y)^2/16 = 1, will have a minor and major axis with length __________. (In that order)

Click here to see answer by Alan3354(69443)

Question 850272: hello. Can someone please help me solve this equation, i do not understand how to work it out.. y=x+3 and y=2x^2
they are asking us to find the exact solution(s) of each system of equations. So far, I have tried plugging x+3=2x^2 and worked it out to x(2x-1)=3

Click here to see answer by Alan3354(69443)

Question 850551: Write an equation for the ellipse centered at the irigin with a vertex of (0,sqrt 29) and a c0-vertex of (-5,0) Please show me how to do this

Click here to see answer by lwsshak3(11628)

Question 850565: Can someone show me how to write this in standard form of a parabola? Thanks!(y-4)^2=9(x-4)
Click here to see answer by josgarithmetic(39618)

Question 850602: Someone help me convert this to standard form of a parabola please?y+x^2=-(8x+23)
Click here to see answer by unlockmath(1688)

Question 850790: A parabola contains the points (0,0) , (-1,-2) and (1,6). What is the equation of parabola in standard form?
Click here to see answer by ewatrrr(24785)

Question 851067: write an equation in standard form of the parabola that has the same shape as the graph f(x)=2x^2 but with (5,8) as the vertex
Click here to see answer by josgarithmetic(39618)

Question 851093: A point moves so that the absolute value of the difference between it's distances from (0,5) and (0,-5) is 8.
Click here to see answer by lwsshak3(11628)

Question 851599: What are the x coordinates of the solution to this system of equations
x^(2)+2=100
y=+2
Click here to see answer by Fombitz(32388)

Question 851770: write the standard form of the equation of the conic section with the given characteristics
1. circle with center at (3,-1) and radius is 4
2. Ellipse with vertex at(0,12) and co-vertices at(-8,0)
3. Hyperbola with vertex at (0,4),focus at(0,5) and center at(0,1)
Click here to see answer by ewatrrr(24785)

Question 851774: write the standard form of the equation of the conic section with the given characteristics
circle with center at (3,-1) and radius is 4
Click here to see answer by ewatrrr(24785)

Question 851811: Write the standard equation of a circle with each given radius and center.
1. r = 4; C= (0, 0)
2. r = 1; C = (2, 3)
3. r = 4; C = (-2, 8)
Write the standard equation for the circle given the following equations.
4. x^2 + y^2 - 8x + 7 = 0
5. x^2 + y^2 + 4x - 6y - 3 = 0
Click here to see answer by ewatrrr(24785)

Question 851916: Hi, there! I'm a Brazilian engineering student. I'm kind of stuck with a problem in pre-calc about a conic equation. The problem ask me to identify the conic section of the following equation:
3x^2 - 2y^2 + 18x - 4y + 20 = 0
I went throught the algebra stuff (did by completing the square in x and y) but then i got stuck in...
[3*(x + 3)^2] / 5 - [2*(y + 1)^2] / 5 = 1
How can i proceed with it? The answer in my book says it is an hyperbola with the equation...
[(x + 3)^2] / 2 - [(y + 1)^2] / 3 = 1
What bothers me is the 3/5 and the -2/5 that i found on those binomials. An hyperbola equation isn't suppose to have a number on the numerators, isn't?
So, i would be glad if someone could tell me how to proceed with or if i did something wrong.
Click here to see answer by richwmiller(17219)

Question 852005: How do I write the standard equation of an ellipse with foci (4,2) and (-2,2) and eccentricity c/a=1/3.? Explain your solution completely
Click here to see answer by lwsshak3(11628)

Question 852021: Use the definition of a hyperbola to find an equation of the hyperbola having foci (-1,1) and (1,-1) and difference of focal radii 2.

Click here to see answer by Seutip(231)

Question 851968: How to find the equation of the conic with center at (-4,1), one focus at (-1,1) and corresponding directrix at x=13/4?
Click here to see answer by lwsshak3(11628)

Question 851918: 2x^2+y^2=2+4(x-y), find the center, vertices and the length of the major and minor axes of the ellipse.
Click here to see answer by lwsshak3(11628)

Question 852125: Director x=1 , vertex 2,-1 What's the equation?
Click here to see answer by ewatrrr(24785)

Question 851812: Write the vertex form for a parabola with the given characteristics.
1. vertex ( 0, 0) directrix x = -15
2. vertex (3, 3) focus (3, 0)
3. Vertex ( 0, 0 ) focus ( 2, 0)
Write the standard form for the parabola given the following equation.
4. x^2 + 8x - y + 20 = 0
Click here to see answer by ewatrrr(24785)

Question 851372: What are the intersection points (at least three ordered par solutions) between a circle and parabola with equations X^2 + y^2 + 2x - 4y + 1 = 0 and y^2 - 2x - 4y - 2 = 0 ?
Click here to see answer by Fombitz(32388)

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