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

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Question 1116130: The arch beneath a bridge is semi-elliptical, and a one-way roadway passes under the arch. The width of the roadway is 30 feet and the height of the arch over the center of the roadway is 12 feet. Two trucks plan to use this road. They are both 10 feet wide. Truck 1 has an overall height of 11 feet and Truck 2 has an overall height of 10 feet. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.
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Question 1116369: Objective tests on conic

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Question 1116970: For the hyperbola below, write the standard form equation. Then graph and tell the foci.
Vertices: (8, 14) and (8, -10); conjugate axis is 6 units long
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Question 1117203: Write the equation for a circle that has a center (-2, 4) and radius of 3cm.
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Question 1117203: Write the equation for a circle that has a center (-2, 4) and radius of 3cm.
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Question 1117476: How can you tell if a table of points is a conic function?
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Question 1117476: How can you tell if a table of points is a conic function?
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Question 1117521: Which is the equation of an ellipse centered at the origin with foci on x-axis, major axis of length 12 and minor axis of length 8?

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Question 1117435: Scattering experiments, in which moving particles are deflected by various forces led to the concept of the nucleus of an atom. In 1911, the physicist Ernest Rutherford (1871 � 1937) discovered that when alpha particles are directed toward the nuclei of gold atoms, they are eventually deflected along hyperbolic paths, illustrated in the figure. If a particle gets as close as 3 units to the nucleus along a hyperbolic path with an asymptote given by y = 1/2x, what is the equation of its path?
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Question 1117770: Find an equation of a parabola with a vertex at the origin and directrix y=-2.5
A)
B)
C)
D)
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Question 1117777: What is the equation of the parabola with vertex (2 4) and focus (5 4)?
A)
B)
C)
D)
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Question 1117848: Determine the vertex of the parabola and state whether it opens upward or downward.
g(x)= -5(x+4)2 +2
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Question 1118246: Identify the conic section that the equation 4x^2-5xy-5y^2-3x+2y+9=0
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Question 1118303: The line y=k is a tangent to the parabola y= x^2 -8x +18.
a) show this on a diagram
b) find the value of k
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Question 1118326: For an algebra project where i have to make a drawing out of different conics, I'm using a hyperbola. Currently, I know the center point, and the slope of the asymptotes, but I'm not really sure how to use the slope of asymptotes to find the rest of my equation.
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Question 1118804:
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Question 1119176: a concrete bridge is designed with an arch in the shape of the parabola. The road over the bridge is 120 feet long and the maximum height of the arc is 50 feet. Write the equation for the parabolic arch?
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Question 1119191: Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7, 0).
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Question 1119190: An ellipse has a vertex at (0, -5), a co-vertex at (�3, 0), and a center at the origin. Which is the equation of the ellipse in standard form?
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Question 1119260: a flashlight is shape like a paraboloid, so that if its light bulb will then bounce off the surface in a focused direction that is parallel to axis. if the paraboloid ha depth of 1.8 in and the diameter on its surface is 6 in, how far should the light source be placed from the vertex?
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Question 1119296: graph y^2+4y-12x+40 and give its standard form
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Question 1119329: A Ferris wheel with a diameter of 59 meters rotates at a rate of 3 minutes per revolution. Riders board the Ferris wheel 4 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.
Write a formula for the height of the couple t seconds after the ride begins.
How many seconds after the ride starts will the couple be 18 meters above the ground for the second time?
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Question 1119419: Give the coordinates of the center, foci and vertices with equation 9x2 - 4y2 - 90x - 32y = -305.
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Question 1119424: The arch of a bridge forms the upper half of an ellipse. The highest point of the arch is 6 m above the 20-m wide river. Write the equation of the ellipse in which the major axis coincides with the water level.
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Question 1119456: A projectile is fired vertically upward and its height h in meters after t seconds is given by the formula : h = 40t - 8t^2. Find the time taken by the projectile to first reach a height of 48 meters
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Question 1119468: A street with two lanes, each 10 feet wide, gous through a semicircukar tunnel with raduis 12 feet. How high is the tunnel at the edge of each lane ? Round off to 2 decimal places.

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Question 1119453: What is the standard form if C(0,0). Foci on the x-axis, length of the major axis is 12 and its minor axis is 4 squareroot of 3
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Question 1119535: Find the vertex, focus, length of latus rectum and the equation of directrix from the following equation of parabola x^2 = -9y
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Question 1119533: Find the equation of parabola, given that F(3,2), d: y + 4 = 0
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Question 1119537: Find the equation of the normal to the parabola y^2 = 16x at the point (1,-4)
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Question 1119536: Find the equation of tangent to the parabola y^2 = 12x at the point (3,6)
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Question 1119534: Sketch the curve, find the coordinate of the vertex and focus, and find the equation of the axis and directrix of x^2 - 6x + 8y + 25 = 0
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Question 1119528: Find the focus, vertex, length of latus rectum,and the equation of directrix of the parabola y^2 - 10x = 0
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Question 1119528: Find the focus, vertex, length of latus rectum,and the equation of directrix of the parabola y^2 - 10x = 0
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Question 1119530: Find the vertex, focus, length of latus rectum,and the equation of directrix of y^2 - 4y + 4x = 0
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Question 1119530: Find the vertex, focus, length of latus rectum,and the equation of directrix of y^2 - 4y + 4x = 0
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Question 1119579: A cable of a suspension bridge is suspended (in the shape of the parabola) between the two towers that are 150 meters apart and 30 meters above the roadway. The cables touch the roadway midway between the towers. How high is the cable if it is 20 meters away from any of the towers?. illustrate your answer

thank youuu
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Question 1119529: Find the vertex, focus, length of latus rectum,and the equation of directrix of x^2 - 2x - 12y + 25 = 0
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Question 1119578: A satelite dish has a shape called a paraboloid, where each cross section is a parabola. Since radio signals (parallel to the axis) will bounce off the surface of the dish to the focus, the receiver be placed at the focus. How far should the receiver be from the vertex, if the dish is 10 ft across, and 4 ft deep ? Round o your answer to 2 decimal places.

thank youuu
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Question 1119532: Find the equation of parabola, given that v(0,0), F on x-axis passes through (-2,6)
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Question 1119531: Find the equation of parabola, given that v(0,0), f( -2,0)
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Question 1119580: Reduce the given equation to standard form.
1. x^2-6x+8y+17=0
2. 2y^2-5x-2y-7=0
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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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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