Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)
Question 1204029: An arch is in the shape of a parabola. It has a span of 240 feet and a maximum height of 30 feet.
a. Find the equation of the parabola (assuming the origin is halfway between the arch's feet).
b. Determine the height of the arch 107 feet from the center.
Click here to see answer by greenestamps(13200)   |
Question 1204075: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 48 feet across at its opening and 6 feet deep at its center, where should the receiver be placed?
Click here to see answer by greenestamps(13200) |
Question 1204101: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 84 feet across at its opening and 7 feet deep at its center. Find the equation of the parabola.
Click here to see answer by greenestamps(13200) |
Question 1204150: Find the end points of the minor and major axis for the graph of the ellipse
{(x-4)^2/9} + {(y-3)^2/25} = 1
a. Maximum point on the major axis:
b. Minimum point on the major axis:
c. Maximum point on the minor axis:
d. Minimum point on the minor axis:
e. Maximum focal point:
f. Minimum focal point:
Click here to see answer by ikleyn(52800)  |
Question 1204150: Find the end points of the minor and major axis for the graph of the ellipse
{(x-4)^2/9} + {(y-3)^2/25} = 1
a. Maximum point on the major axis:
b. Minimum point on the major axis:
c. Maximum point on the minor axis:
d. Minimum point on the minor axis:
e. Maximum focal point:
f. Minimum focal point:
Click here to see answer by MathLover1(20850)  |
Question 1204147: In the ellipse
{(x+1)^2/4^2} + {(y+1)^2/4^2} = 1
the semimajor and semiminor axes both have length 4.
The foci are located ____ units away from the center at ____. (Enter the coordinates as an ordered pair).
The eccentricity of the ellipse is ____.
Click here to see answer by ikleyn(52800) |
Question 1204361: A truck has to pass under an overhead parabolic arch bridge which has
a span of 20 meters and is 16 meters high. If the tank is 14 meters wide, is placed in the truck with its sides vertical, and the top of the tank is 7.5 meters above the street level, what is the smallest clearance from the top of the tank so that the truck can pass under the bridge?
Click here to see answer by greenestamps(13200) |
Question 1204362: A comet's path as it approaches the sun can be modeled by one branchof hyperbola y²/1225 - x²/40401 = 1, where the sun is at the focus of that path of the hyperbola. Each unit of the coordinate system is 1 million kilometers. Find the coordinates of the sun and how close the comet come to the sun.
Click here to see answer by ikleyn(52800) |
Question 1204500: Two control towers are located at points M(-500,0) and
N(500,0),on a straight shore where the x-axis runs through (all distances are in meters). At the same time, both towers sent a to a ship out at sea, each traveling at 400m/µs. The ship received the signal from tower N 2µs (microseconds) before the message from M. What is the equation of the curve containing the possible location of the ship? What are the coordinates of the ship if it is 200 m from the shore(y=200)?
Click here to see answer by MathLover1(20850) |
Question 1204654: For the ellipse, determine the
a) coordinates of the center
b) lengths of the major and minor axes
c) coordinates of the foci
9x^2 + 25y^2 - 9x - 50y - 197.75 = 0
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I did not get very far in this question. I was trying to first complete the square to factor into the standard form of the elliptical equation and move on from there.
9x^2 + 25y^2 - 9x - 50y - 197.75 = 0
9x^2 - 9x + 25y^2 - 50y = 197.75
9(x^2 - x) + 25(y^2 - 2y) = 197.75
9(x^2 - x + (1/4)) + 25(y^2 - 2y +1) = 197.75 + (1/4) + 1
9(x - (1/2))^2 + 25(y - 1)^2 = 199
I don’t know where to go from here because the numbers are troubling me
Click here to see answer by greenestamps(13200) |
Question 1204654: For the ellipse, determine the
a) coordinates of the center
b) lengths of the major and minor axes
c) coordinates of the foci
9x^2 + 25y^2 - 9x - 50y - 197.75 = 0
------------
I did not get very far in this question. I was trying to first complete the square to factor into the standard form of the elliptical equation and move on from there.
9x^2 + 25y^2 - 9x - 50y - 197.75 = 0
9x^2 - 9x + 25y^2 - 50y = 197.75
9(x^2 - x) + 25(y^2 - 2y) = 197.75
9(x^2 - x + (1/4)) + 25(y^2 - 2y +1) = 197.75 + (1/4) + 1
9(x - (1/2))^2 + 25(y - 1)^2 = 199
I don’t know where to go from here because the numbers are troubling me
Click here to see answer by math_tutor2020(3817) |
Question 1204654: For the ellipse, determine the
a) coordinates of the center
b) lengths of the major and minor axes
c) coordinates of the foci
9x^2 + 25y^2 - 9x - 50y - 197.75 = 0
------------
I did not get very far in this question. I was trying to first complete the square to factor into the standard form of the elliptical equation and move on from there.
9x^2 + 25y^2 - 9x - 50y - 197.75 = 0
9x^2 - 9x + 25y^2 - 50y = 197.75
9(x^2 - x) + 25(y^2 - 2y) = 197.75
9(x^2 - x + (1/4)) + 25(y^2 - 2y +1) = 197.75 + (1/4) + 1
9(x - (1/2))^2 + 25(y - 1)^2 = 199
I don’t know where to go from here because the numbers are troubling me
Click here to see answer by ikleyn(52800) |
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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
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