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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 838340: The equation is y^2=-13x
It asks the find the foci and directrix and that axis is it on?
Thank you for your help!!
Click here to see answer by ewatrrr(24785)

Question 838345: Find the equation with a Foci of (-6,0) and (6,0) and an x-intercept of (-8,0) and (8,0)
Thanks!
Click here to see answer by lwsshak3(11628)

Question 838557: How do you solve 6x2 - x= 2 using the quadriatic equation
Click here to see answer by richard1234(7193)

Question 838567: can I give you an equation and we go step by step??

Click here to see answer by Fombitz(32388)

Question 838670: Write the equation of a parabola with a vertex at (0, 0) and a directrix y = -1.
Click here to see answer by ewatrrr(24785)

Question 838684: find the standard equation of the ellipse,vertices (0,6), (0,-6) containing the point (3,2)
Click here to see answer by ewatrrr(24785)

Question 838920: a set of points P(x,y) has the property that the distance from (-2,0) plust the ditance from (4,0) is 8. Derive the equation of the conic (using distances) and verify that it is an ellipse.
Click here to see answer by josgarithmetic(39618)

Question 838915: An ellipse has foci at (-3,2) and (5,2). Find its equation in standard form.
I don't know how figure this one out. The only thing I know is that (h,k)=(1,2).
Click here to see answer by Theo(13342)

Question 838944: Foci (-5,0) (5,0) and Vertices (-7,0) (7,0). Give the general form of the equation of the ellipse.
Click here to see answer by ewatrrr(24785)

Question 839121: 2 points are chosen on the parabola defined by y=x^2, one with a positive x-coordinate and the other with a negative x-coordinate. If the points are (a,b) and (c,d), where a < 0 and c > 0, find the y-intercept of the line joining the 2 points in terms of a and c
Click here to see answer by stanbon(75887)

Question 839246: pls help me to find the values of graph x=4

Click here to see answer by ewatrrr(24785)

Question 839931: what is 36y+9 if the y is 1/6

Click here to see answer by rfer(16322)

Question 840438: find the exact solution(s) of each system of equations
x^2-y^2=-8
y=2x+1
Click here to see answer by stanbon(75887)

Question 840524: How do I graph x^2+2xy+y^2=1?

Click here to see answer by Fombitz(32388)

Question 840547: For the parabola
2x^2-4y + 6x + 1 = 0,
(a) find the coordinates of the vertex;
(b) find the coordinates of the focus.
Click here to see answer by ewatrrr(24785)

Question 840549: For the ellipse
8x^2− 48x + 2y^2− 4y + 66 = 0,
find:
(a) the coordinates of the centre,
(b) the coordinates of the foci,
(c) the eccentricity,
(d) the equations of the directrices.

Click here to see answer by richwmiller(17219)

Question 840610: 4x-8+y^2+4y=0 write the equation in standard form.
Click here to see answer by Fombitz(32388)

Question 840633: What is the standard form equation of the following parabola? Vertex at the origin, Focus: (0,-1/4)
Click here to see answer by josgarithmetic(39618)

Question 840671: If the vertex is at the Origin write the equation of the parabola and identify the
directrix
4. Focus at (0, 1)
5. Focus at (0, 5)
focus
6. directrix y = 7
7. directrix y = -3
I am so lost it is unreal.... How do I do this? I have spent 3 hours looking for an example at the least with nothing found...
Click here to see answer by lwsshak3(11628)

Question 841076: a circle has the equation x^2 = y^2=121. what is the center (h,k)?
Click here to see answer by ewatrrr(24785)

Question 841080: what is the difference quotient of f: f(x+h)-f(x) / h , h cannot equal zero.
Click here to see answer by Fombitz(32388)

Question 841082: what does g equal?
1/g + 1/p=1/g
Click here to see answer by Fombitz(32388)

Question 841251: What is the center, vertices, co-vertices, and foci of 25x^2+y^2-100x-2y+76=0
Click here to see answer by lwsshak3(11628)

Question 841004: WHAT IS THE FOCI FOR 4X^2-9Y^2=8x+54-41=0

Click here to see answer by lwsshak3(11628)

Question 841635: Graph each parabola by hand. Give the vertex, axis, domain, and range.
x = 2/3y^2 - 4y + 8
My work thus far:
x = 2/3y^2 - 4y + 8
x - 8 = 2/3y^2 - 4y
x - 8 = 2/3(y^2 - 6y)
x - 8 + 9 = 2/3(y^2 - 6y + 9) * After completing the square
x + 1 = 2/3(y - 3)^2
3/2(x + 1) = (y - 3)^2
Finally ends up in the right form, however, based on this equation my vertex would be: (-1,3), while the book answer is (2,3).. Any help would be appreciated!
Click here to see answer by ewatrrr(24785)

Question 841742: Find a function whose graph is a parabola with vertex
(4, 3)
and that passes through the point
(−3, 1).
Click here to see answer by lwsshak3(11628)

Question 842258: identify the focus and the directrix of the graph of x=-1/20y^2
Click here to see answer by lwsshak3(11628)

Question 841679: A cabinetmaker wants to build a table with an
elliptic top. It is to be 120 inches long and 50
inches wide at its widest point. He uses two pins
and a string to draw the top. Where should he put
the pins, and how long should the string be?
Click here to see answer by lwsshak3(11628)

Question 842659: is y + 6x = -14 a quadratic
Click here to see answer by ewatrrr(24785)

Question 843179: 1/2 X + 2 = 1/8 y - 1
solve for X
Click here to see answer by ewatrrr(24785)

Question 843243: Place in standard form and graph x^2+2x-4y^2+24y+10=0

Click here to see answer by lwsshak3(11628)

Question 842905: What is the directrix of the parabola 15y+3x^2=0
Click here to see answer by lwsshak3(11628)

Question 842613: Determine the equation of an ellipse in standard form with the given vertices (-3,5) and (-3,-1) and eccentricity 1�3
Click here to see answer by lwsshak3(11628)

Question 843540: x2 � y2 + 6x � 8y � 19 = 0
Click here to see answer by Fombitz(32388)

Question 843479: Use the information provided to write the stander form equation of each circle.
1. Center: (8, 1)
Tangent to x = -1

2. Center lies in the 3rd quadrant
Tangent to y = -2, x = -10, and the y-axis

Click here to see answer by ewatrrr(24785)

Question 843717: What are the centers of the equations and their points of intersection?
x^2=y+10
y^2+5(x-1)^2=81
Click here to see answer by Fombitz(32388)

Question 844629: how do you write 9x^2+4y^2+18x-32y-71=0 in standard form ?
Click here to see answer by lwsshak3(11628)

Question 845081: graph the equation of this circle
1/4x^2+1/4y^2=16
Click here to see answer by ewatrrr(24785)

Question 845079: 1/4x^2+1/4y^2=16
Click here to see answer by ewatrrr(24785)

Question 845222: Write the equation in vertex form for the parabola with focus (0,
6) and directrix y= -10

Click here to see answer by ewatrrr(24785)

Question 845631: use algebraic tests to check the following symmetry with respect to the axes and the origin
y=8x^4-x^2-8
Click here to see answer by josgarithmetic(39618)

Question 846542: 1)A particle moves along the top of the parabola y^2=2x from left to right at a constant speed of 5 units per second. Find the velocity of the particle as it moves through the point (2,2).
2)The quarterback of a football team releases a pass at a height of 7 feet above the playing field, and the football is caught by a receiver 30 yards directly downfield at a height of 4 feet. The pass is released at an angle of 350 with the horizontal.
Find the speed of the football when it is released.
Find the maximum height of the football.
Find the time the receiver has to reach the proper position after the quarterback releases the football.
Question 3
Evaluate the double integral over the given region R:
∬▒( xy^3)/(x^(2 )+ 1) dA,R:0≤x≤1,0≤y≤2
∬▒〖xye^(〖xy〗^2 ) 〗 dA,R:0≤x≤2,0≤y≤1
∬▒〖y sin⁡〖(x+y)〗〗 dA,R: -π≤x≤0,0≤y≤π

5)Find the volume of the region bounded above the paraboloid z= x^2+ y^2 and below by the triangle enclosed by the lines y=x,x=0 and x+y=2 in the xy plane.
6)Find the area of the region that lies inside the cardioid r=1+cos⁡θ and outside the circle r=1.

Click here to see answer by psbhowmick(878)

Question 847256: Find the equation of a circle passing through the points (4,1) and 6,5) and whose center is on the line 4x + y = 16
Click here to see answer by Alan3354(69443)

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