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

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Question 467991: 1.f(x)=3x^-12x+4. What is the vertex and what is the of the line of symmetry nand what is the minimum or maximum of f(x).
2. give exact and approximate solutions to three decimal places: x^+5-7=0
3.give exact and approximate solutions to three decimal places:(x-2)^2=45
4.give exact and aqpproximate solutions to three decimal places:x^+14x+49=81
5.
Click here to see answer by ewatrrr(24785)

Question 468040: Draw the graph. 4y^2 +9y+10 = x

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Question 468040: Draw the graph. 4y^2 +9y+10 = x

Click here to see answer by ccs2011(207)

Question 467976: what is the other major axis vertex for the ellipse definded bt this equation:
(x+3)^2/(64)+ (y-9)^2/(49) = 1
one major axis vertex is located at (5,9)
Click here to see answer by lwsshak3(11628)

Question 467998: what is the directx of 8x=y^2
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Question 467939: 1) (x-1)^2/9+(y-3)^2/4=1
what is the center?Vertices?Foci? and Co Vertices. In short give the conic section.
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Question 468343: What is the value of c if the vertex of the parabola is a point one x-axis?
Click here to see answer by ccs2011(207)

Question 468601: Solve the system of hyperbola
4x^2-26y^2+10=0
i spent many hour but I can't solve,the number is decimal?
Thank you for help
Click here to see answer by Edwin McCravy(20056)

Question 468949: I need help to find the vertex, focus, and the directix of this parabola problem: y^2 � 12y + 16 � 20x = 0

Click here to see answer by Alan3354(69443)

Question 468949: I need help to find the vertex, focus, and the directix of this parabola problem: y^2 � 12y + 16 � 20x = 0

Click here to see answer by stanbon(75887)

Question 469352: If the wheel is spun and each section is equally likely to stop under the pointer, determine the probability that the pointer lands on an even number, given that the color is red.
Wheel has 12 equal sections; 1 is blue, 2 is purple, 3 is tan, 4 is purple, 5-6-7 is red, 8 is blue, 9 is purple, 10 is tan, 11-12 is purple

Click here to see answer by edjones(8007)

Question 469343: How do you find the vertex if the focus is (-4,4); directrix the line y= 2. I am completed lost.
Click here to see answer by scott8148(6628)

Question 469611: find the radius of a circle with the equation x2 + y2 - 6x - 12y + 36 = 0
Click here to see answer by ewatrrr(24785)

Question 469656: Evaluate 9C6
84
6
720
432

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Question 470340: The City�s Parks and Recreation Department has called the Algebra Society to help them design the new gardens that they will be developing in the west end of town. For the gardens, they have purchased a rectangular lot that is 42 feet wide and 87 feet long. The most important aspect of the new garden will be an elliptical walkway. In the center of the ellipse will be a grand fountain, and two smaller fountains are planned at the foci of the ellipse. The radius of the large fountain will be twice the radius of the smaller fountains. The centers of the small fountains will be the foci of the inner ellipse. The edge of the smaller fountains will be tangent(i.e. will touch) to the elliptical walkway. The Department provided the following sketch as a guide. The elliptical walkway will be 3 feet wide and tangent to a 3-foot walkway around the perimeter of the park.

Help the Department by finding the radius of the Grand Fountain and the radius of each smaller fountain.
Click here to see answer by ccs2011(207)

Question 470768: If P(A or B) = 0.9, P(A) = 0.7 and P(B) = 0.5, determine P(A and B)
0.15
0.25
0.45
0.30

Click here to see answer by jim_thompson5910(35256)

Question 470820: Identify the graph of the equation below as a parabola, an ellipse, or a hyperbola.
9x^2+8y^2-5x+8y-23=0
a. Parabola
b. Hyperbola
c. Ellipse
Click here to see answer by Tatiana_Stebko(1539)

Question 470819: Find the equation in standard form of the hyperbola with an asymptote slope of 3/4 and foci (-2,-8) and (8,-8).
a.(x-3)^2/9-(y+8)^2/16=1
b.(y-3)^2/16-(x+8)^2/9=1
c.(y+8)^2/9-(x-3)^2/9=1
d.(x-3)^2/16-(y+8)^2/9=1
e.(x+8)^2/9-(y-3)^2/16=1
Click here to see answer by ewatrrr(24785)

Question 470933: using cramer's rules ,solve the following system of linear epuations
x+2y=7
3x-4y=-9
Click here to see answer by Tatiana_Stebko(1539)

Question 470992: (a) Graph x^2/16 - y^2/25 = 1.
Show how you arrived at the graph by determining the (b) x-intercepts, (c) extent of the graph and the (d)asymptotes.
Please explain fully. I really don't understand this question. Thanks.
Click here to see answer by ewatrrr(24785)

Question 470815: Find the vertices and asymptotes of the hyperbola.
(x^2/49)+(y^2/9)=1
a.vertices:(0,+-7) asymptote:y=+-3/7x
b.vertices:(+-7,0) asymptote:y=+-7/3x
c.vertices:(+-7,0) asymptote:y=+-3/7x
d.vertices:(+-7,3) asymptote:y=+-7/3x
e.vertices:(0,+-7) asymptote:y=+-7/3x
Click here to see answer by lwsshak3(11628)

Question 470818: Find the standard form of the equation of the hyperbola with the given characteristics.
asymptotes:y=+-4x
a.(y^2)/(16/17)-(x^2)/(256/17)=1
b.(x^2)/(16/17)-(y^2)/(256/17)=1
c.(y^2)/(16)-(x^2)/(16)=1
d.(x^2)/(16)-(y^2)/(16)=1
e.(x^2)/(256/17)-(y^2)/(16/17)=1
Click here to see answer by lwsshak3(11628)

Question 471073: What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (Leave answers exact; do NOT round.)
x^2/25+y^2/36=1
Click here to see answer by lwsshak3(11628)

Question 471075: Solve the system of equations
3x+4y+z=7
2y+z=3
-5x+3y+8z=-31
Click here to see answer by lwsshak3(11628)

Question 471059: A space module is in an elliptical orbit around a planet.The maximum distance from the center of the planet to the module is 300 kilometers,and the minimum distance is 200 kilometers.If a model of this orbit is graphed with the center of the ellipse at the origin,write the equation that represents the path of the space module.
Click here to see answer by lwsshak3(11628)

Question 470793: Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0,0).
Click here to see answer by lwsshak3(11628)

Question 470747: 9x^2 � 25y^2 + 150y � 450 = 0
Find the center, vertices, foci, and asymptotes of the hyperbola
Click here to see answer by lwsshak3(11628)

Question 471394: Find the center and vertices of the ellipse.
(x^2/81)+(y^2/64)=1
a.center:(9,0) vertices:(0,-8),(0,8)
b.center:(0,0) vertices:(-8,0),(8,0)
c.center:(9,8) vertices:(-9,-8),(9,8)
d.center:(0,0) vertices:(-9,0),(9,0)
e.center:(0,0) vertices:(0,-9),(0,9)

Click here to see answer by unlockmath(1688)

Question 471422: write the equation of hyperbola c entered in (2,1) with foci (2,-3) and (2,5) and asymptote y=x-1
Click here to see answer by lwsshak3(11628)

Question 471393: Find the center and vertices of the ellipse.
4x^2+y^2=4
a.center:(-2,2) vertices:(-1,0),(1,0)
b.center:(-2,2) vertices:(-1,-2),(1,2)
c.center:(0,0) vertices:(-2,0),(2,0)
d.center:(0,0) vertices:(-2,-1),(2,1)
e.center:(0,0) vertices:(0,-2),(0,2)
Click here to see answer by lwsshak3(11628)

Question 471391: Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
a. y^2=-x
b. y^2=-4x
c. x^2=-4y
d. x^2=-y
e. x^2=y
Click here to see answer by lwsshak3(11628)

Question 471370: Decide whether or not the equation has a circle in its graph. If it does , give the center and the radius. If it does not, describe the graph.
x^2+y^2+10x+4y+25=0
Click here to see answer by lwsshak3(11628)

Question 471188: how do i know if an equation is a circloe, ellipse, parabola, hyperbola, from an equation if it isn't in standard from, for exsample 9y^2+18y=25x^2+216
Click here to see answer by lwsshak3(11628)

Question 470703: The question I have for homework is
Find an equation of the hyperbola having foci at (-1,1-sqrt52), and -1,1+sqrt52) and asymptotes at y=2/3x+5/3 and y=-2/3x+1/3
I know c = sqrt of 52 and c^2 = 52 I am just unsure on how to find A and B. I know how to graph the asymptotes and I know the center is (-1,1)
I know I have to use 2/3 for A and B I just dont understand how. Any help would be greatly appreciated thanks..
Click here to see answer by lwsshak3(11628)

Question 471719: Solve the system of equations below by the substitution method.
-5x+8y=-18
-10x+16y=-14
a.(-11/10,-11/16)
b.(-11/16,-11/10)
c.(11/16,11/10)
d.no solution
e.(-5/2,25/16)

Click here to see answer by stanbon(75887)

Question 471710: Find the vertices and asymptotes of the hyperbola.
(x^2/49)+(y^2/9)=1
a.vertices:(0,+-7) asymptote:y=+-3/7x
b.vertices:(+-7,0) asymptote:y=+-7/3x
c.vertices:(+-7,0) asymptote:y=+-3/7x
d.vertices:(+-7,3) asymptote:y=+-7/3x
e.vertices:(0,+-7) asymptote:y=+-7/3x

Click here to see answer by robertb(5830)

Question 471707: Find the vertex and focus of the parabola.
y^2=-1/2x
a. vertex:(0,0) Focus:(-1/2,0)
b. vertex:(0,0) Focus:(-1/8,0)
c. vertex:(0,-5/4) Focus:(-1/2,-1/2)
d. vertex:(0,-5/4) Focus:(0,-1/8)
e. vertex:(0,0) Focus(0,-1/2)

Click here to see answer by robertb(5830)

Question 471692: Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
focus:(0,-1)
a. y^2=-x
b. y^2=-4x
c. x^2=-4y
d. x^2=-y
e. x^2=y

Click here to see answer by robertb(5830)

Question 471826: I need the vertex of the function f(x)=(3p)x^2-(24p)x+(5p)
Click here to see answer by ewatrrr(24785)

Question 471899: Write in logarithmic form
(1/2)^4=1/16
Click here to see answer by Alan3354(69443)

Question 471897: Write in logarithmic form
3^4=81
Click here to see answer by richard1234(7193)

Question 471973: simplify
(3x)^-1/3
NOTE: 3 is not the denominator for (3x)^-1, but only for -1/3
Click here to see answer by Alan3354(69443)

Question 471933: Find an equation of the ellipse having the given points as foci and the given sum of the focal radii
(-9, 0); (9, 0); 30
Click here to see answer by lwsshak3(11628)

Question 456947: find the "a","b", orientation and write the equation of the ellipse, given: center (4,-4) vertex (9,-4) co-vertex (4,-1)
Click here to see answer by lwsshak3(11628)

Question 471579: Find the supplementary angle of 49 degree
98
131
41
49

Click here to see answer by bucky(2189)

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