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

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Question 1119612: Hi, these are five questions which I need help in
Write the general equation for the circle that passes through the points:
(1, 7)
(8, 6)
(7, -1)
Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).
Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2, 4).
Write the general equation for the circle that passes through the points:
(-1, 2)
(4, 2)
(- 3, 4)
Write the general equation for the circle that passes through the points:
(0, 0)
(6, 0)
(0, - 8)
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Question 1119425: Write the standard equation of an ellipse with the first focus being (-4,0) and the second one being (4,0), passing through (4,1)
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Question 1119655: please help me find the vertex, focus and LR in the equation : .
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Question 1119655: please help me find the vertex, focus and LR in the equation : .
Click here to see answer by ikleyn(52798)

Question 1119655: please help me find the vertex, focus and LR in the equation : .
Click here to see answer by greenestamps(13200)

Question 1119697: Find the Cartesian equation of r = acosθ/2
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Question 1119696: Find the Cartesian equation of r = asin3θ
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Question 1119695: Find the Cartesian equation of r = 4(1 + sinθ)
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Question 1119694: Find the Cartesian equation of θ = 3π/4
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Question 1119858: The moon's orbit is an ellipse with earth as one focus. If the maximum diatance from the moon to earth is 405 500 km and the minimum distance is 363 300 km, find the equation of the ellipse in a cartesian coordinate system where earth is at the origin. Assume that the ellipse has horizontal major axis and that the minimum distance is achieved when the moon is to the right of the earth. Use 100 km as one unit.
Click here to see answer by greenestamps(13200)

Question 1120056: What is the standard form of the hyperbola with vertices (1,0),(-1,0) and assymptote of y=5x y=-5x?
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Question 1120263: In the xy-plane, if the parabola with equation y = ax^2 + bx + c, where a,b,and c are constants, passes through the point (-1,1), which of the following must be true?
A. a - b = 1
B. -b + c = 1
C. a + b + c = 1
D. a - b + c = 1

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Question 1120303: foci (-7 -17) and (-7 7 ) the absolute value of the difference of the distances of any point from the foci is 24

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Question 1120388: what type of conic is this equation x^2-2y^2+2x+8y-7=0? how can we get the center, the a and the b?
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Question 1120388: what type of conic is this equation x^2-2y^2+2x+8y-7=0? how can we get the center, the a and the b?
Click here to see answer by ikleyn(52798)

Question 1120508: Pleasw help me inthis, in Parabola.
Height is 3.5 cm while width is 6.5cm
Click here to see answer by josgarithmetic(39620)

Question 1120520: A street in manila composing of two lanes each 14ft wide runs through a semi circular tunnel with a radius of 16ft. What is the height of the tunnel at the edge of each lane?
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Question 1120510: Find an equation for the parabola with focus(5, 6)and directrix the x-axis.
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Question 1120549: A park has a water channel with a semicircular cross section that has a diameter of 13ft. The boats that are going to be used in this water sytem have a rectangular cross sections and are known to submerge 3ft into the water. If the water channel is to be filled with water 6.5ft deep, what is the possible maximum width of the boats?
Click here to see answer by greenestamps(13200)

Question 1120557: A park has a water channel with a semicircular cross section that has a radius of 13ft. The boats that are to be used in this water system have rectangular cross sections and are known to submerge 2 ft into the water. If the water channel is to be filled with water 7.5ft deep, what is the maximum possible width of the boats?
Click here to see answer by ikleyn(52798)

Question 1120616: What is the standardform of circle with center (0,0) and radius of 16 ft and x=14
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Question 1120655: A satellite dish which is parabolic in shape has the receiver at its focus. What is the best location of the reciever if the satellite dish is 6ft wide and 2ft deep?
Click here to see answer by josgarithmetic(39620)

Question 1120657: A piece of broken plate was dug up in an archaeological site. It was put on top of a grid with the arc of the plate passing throughA(-8,0), B(2,4),C(8,2). Find its center and the standard form equation of the circle describing the boundary of the plate.
Click here to see answer by Alan3354(69443)

Question 1120607: Nancy and Louise are friends. They thought having fishes as pet would be interesting and cute so they decided to buy fishes plus an aquarium 6ft wide ad 16ft long wherein the fishes could stay. Find the foci, vertices, center,and axis of symmetry of the ellipse.
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Question 1120757: The vertex of the parabola below is at the point (1, -3). Which of the equations below could be the one for this parabola?
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Question 1120757: The vertex of the parabola below is at the point (1, -3). Which of the equations below could be the one for this parabola?
Click here to see answer by josgarithmetic(39620)

Question 1120795: What is the length of the minor axis of the ellipse whose equation is x squared plus 4 y squared equals 64 space ?

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Question 1120509: Find an equation for the ellipse with center(5, 0),foci(5, �4)and major axis of length 10.
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Question 1121018: A conference room is shaped like semi-elliptic arch. The height of the arch is 5m and its width is 16m.
A. WHERE SHOULD TWO FRIENDS STAND SO THAT THEY CAN CLEARLY HEAR EACH OTHER?
B. HOW FAR FROM THE CENTER OF THE ROOM SHOULD TWO FRIENDS STAND?
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Question 1121022: A conference room is shaped like semi-elliptic arch. The height of the arch is 5m and its width is 16m.
A. Where should two friends stand so that they can clearly hear each other?
B. How far from the center of the room should two friends stand?
Click here to see answer by ikleyn(52798)

Question 1121083: hello i\m chyrelle linn can you please help me with these question?
during a televised football games, a parabolic microphone is used to capture sounds. The shield of the microphone is a paraboloid with a diameter of 18.75 inches and a depth of 3.66 inches. To pick up the sounds, a microphone is placed at the focus if the paraboloid. How far (to the nearest tenth of an inch) from the vertex of the paraboloid should the microphone be placed?

Click here to see answer by josgarithmetic(39620)

Question 1121119: Biuro podr�Biuro podr�
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Question 1121260: Find the Standard equation of hyperbola, center, foci, vertices at asymptotes of the function 4x�-5y�+32x+30y=1.
Thank you!
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Question 1121260: Find the Standard equation of hyperbola, center, foci, vertices at asymptotes of the function 4x�-5y�+32x+30y=1.
Thank you!
Click here to see answer by ikleyn(52798)

Question 1121562: Your friend owns a garden restaurant wants you to design a parabolic arch for the entrance to his garden restaurant. He wants the highest point of the arch to be 12 ft from the ground. Then, he also specifies that at the height of 10 ft, the width of the arch is to be 8 ft. Compute for the width of the arch at the ground level.
Click here to see answer by Alan3354(69443)

Question 1121680: Use the definition of a parabola and the distance formula to derive the standard equation of a parabola which has the orginbfor its vertex, the x-acis as the axis of symmetry, a focus of (p,0) and a directrix of x=-p.
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Question 1121761: Determine whether or not each equation is that of an ellipse, if it is not, state the kind of graph the equation has:
a. x^2+4y^2=4
b. x^2+y^2=4
c. x^2+y=4
d. x/4+y/25=1
Click here to see answer by ikleyn(52798)

Question 1121763: how to find a b and c, eccentricity, directrix, sf, gf endpoints of LR, LR B, V(vertex) and foci
9x^2 + 4y^2 - 24y -72 + 144 = 0
(ellipse)
Click here to see answer by MathLover1(20850)

Question 1121776: Write An equation for each ellipse.
Foci at (-3, -3), (7, -3); the point (2, -7) on ellipse
Click here to see answer by greenestamps(13200)

Question 1121804: Write An equation for each ellipse.
Foci at (-3, -3), (7, -3); the point (2, -7) on ellipse
Click here to see answer by ikleyn(52798)

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