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

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Question 628867: A cooling tower is a hyperbolic structure. Suppose its base diamter is 100 meters and its smallest diameter of 48 meters oocurs 84 meters above the base. If the tower is 120 meters tall, find the diameter at the top.
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Question 629356:
25 + 4x� = -20x discriminant how do you find the ~~determinant~~ then the number of rational, irrational or complex roots??

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Question 629414: State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y2 -2x2 -16=0
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Question 629592: what is the radius of the circle defined by the equation x^2+y^2-4x+18y+81=0 ?
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Question 629704: What are the correct vertices, foci, and asymptotes for the following hyperbola?:
x^2-y^2+2x+6y-9=0
I completed the squares and ended up with this:
(x+1)^2/(19) - (y-3)^2/(19)=1
But when I plug in (h-a,k)(h+a,k) the answer is not correct for the vertices:
(-1-√19)(-1+√19)
or
(-1-√38,3)(-1+√38,3)for the foci.
What am I doing wrong?

Click here to see answer by ewatrrr(24785)

Question 629809: Write the given equation in the standard form of an ellipse: 4x2 + 9y2 - 40x - 54y + 145 = 0.

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Question 629767: What are the slopes of the asymptotes of a hyperbola with equation (y - 2) squared/ 1 squared - (x- 4) squared/ 3 squared = 1?

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Question 630464: X = - 1/4 y2 + y + 2

a. Put this equation in standard form for a parabola.
b. What direction does it open in?
c. What is the coordinate of the vertex?
d. Sketch the graph of the parabola.
e. Find one point on your graph, and test it on the original equation.

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Question 630573: y=(x-1)^2-5
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Question 626717: Find the center of the ellipse whose equation is given as 3x2 + 14y2 + 3x + 6y - 4 = 0
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Question 630713: Use the eccentricity of the ellipse to find the equation in the standard form. From the information, Foci (0,-3), (0,3) with eccentricity 1/9
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Question 630835: Which is an equation for the parabola with focus at (-11,-4) and vertex at (1,-4)
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Question 631604: Write an equation for a parabola with vertex (1,7) given the parabola opens upward and a=3...show all work
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Question 631791: The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant of proportionality for the group of boxes?

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Question 631803: Write an equation for an ellipse with x-intercepts (+2,0) and y-intercepts (0,+5) -
-
This line goes directly under the plus sign but i didnt know how to type that in
please show all work
Thanks
Click here to see answer by ewatrrr(24785)

Question 631805: Given that a parabola has a directrix of y=-3.25 and focus (0,-2.75), find the vertex.
then write an equation of the parabola
then graph the parabola
please show all work
Thank You
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Question 631611: Graph the ellipse. Specify the lengths of the major and minor axes, the foci, and the eccentricity?
2x^2+3y^2=3
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Question 631188: What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?
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Question 632168: a conic section is described by x^2+6x+5/8y^2=-4. what type of conic section does this repersent?
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Question 632168: a conic section is described by x^2+6x+5/8y^2=-4. what type of conic section does this repersent?
Click here to see answer by Edwin McCravy(20056)

Question 632284: An arch in the form of a semiellipse is 64 ft wide at the base and has a height of 30 ft.
How high is the arch at a width of 20 ft from the center of the base? Round your answer
to the nearest tenth.
10
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Question 632691: find the vertex of y=(-1/4)x^2-(1/5)x
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Question 632706: Find the slopes of the asymptotes of the hyperbola with the equation 36 = 9x^2 � 4y^2
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Question 632781: Change x2 − 4y2 + 10x − 48y − 135 = 0 into standard form. (hyperbola)
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Question 632529: Find the equation of the ellipse whose length of the major axis is 20 and
foci are (0, �5)
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Question 632970: WHAT IS THE (H,K) OF THIS EQUATION. X^2+16X=8Y-16, I need to find the graph of the parabola.
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Question 633212: Write an equation in standard form for an ellipse with vertex (-6,0) and co-vertex (0,5)
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Question 632523: Below are the home states of 17 college professors.
Ohio Georgia New Jersey Georgia Nebraska
Michigan Ohio Pennsylvania South Carolina New Jersey
New Jersey South Carolina Wisconsin Michigan Pennsylvania
Ohio Wisconsin
i. Make a frequency table using these 8 states:
Georgia
Michigan
Nebraska
New Jersey
Ohio
Pennsylvania
South Carolina
Wisconsin
ii. What is (are) the mode(s)?
iii. Does it make sense to talk about the average for this data? Why or why not?
iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table:
Home State Frequency Percentage of total Measure of Central Angle (in degrees)
Georgia
Michigan
Nebraska
New Jersey
Ohio
Pennsylvania
South Carolina
Wisconsin

Click here to see answer by killer6678(69)

Question 633490: Write the equation of a parabola with the vertex at the origin and focus at (-4,0)?

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Question 633490: Write the equation of a parabola with the vertex at the origin and focus at (-4,0)?

Click here to see answer by ewatrrr(24785)

Question 633533: Find an equation of the parabola that satisfies the given conditions..
Vertex V(-1, 0), focus F(-4, 0)
( )^(2)=-12( )
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Question 633534: Find the foci of the hyperbola..
y^(2)-9x^(2)-4y-54x-86=0
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Question 633543: Find the vertices,asymptotes, and the foci of the hyperbola.
y^(2)-4x^(2)-6y-32x-59=0
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Question 633542: Find the vertices, and the foci of the hyperbola.
y^(2)-4x^(2)-6y-32x-59=0
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Question 633559: ``Find the vertices,asymptotes, and the foci of the hyperbola.
y^(2)-9x^(2)-12y-36x-9=0.
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Question 633554: Find an equation of the parabola that satisfies the given conditions.
Focus F(9, 9), directrix y = -5
( )^(2)=28( )
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Question 633554: Find an equation of the parabola that satisfies the given conditions.
Focus F(9, 9), directrix y = -5
( )^(2)=28( )
Click here to see answer by Edwin McCravy(20056)

Question 633569: Write the equation of a vertical ellipse with the center at (3,4) and having a length of the major axis as 40 and the length of the minor axis as 30
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Question 633383: Find an equation of the parabola that satisfies the given conditions.
Vertex V(-1, 0), focus F(-4, 0)
( )^(2)=-12( )
Click here to see answer by lwsshak3(11628)

Question 633382: Find the foci of the hyperbola.
y^(2)-9x^(2)-4y-54x-86=0
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Question 633806: what are the foci of the graph(y^(2))/(100)-(x^(2))/(34)=1?
Click here to see answer by ewatrrr(24785)

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