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

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Question 1151234: Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Foci: (±5, 0); major axis of length 12
Click here to see answer by pavan sai reddy(3)

Question 1151555: A sporting goods store sells 90 fishing rods in a season for $200 each. Each $10 decrease in price would result in five more rods being sold. Calculate the number of rods sold and the selling price to generate a revenue of $17 600 from sales of fishing rods.
Click here to see answer by ikleyn(52795)

Question 1151642: The graph of y=ax^2 -4x + c had x-intercepts of -1 and 5. Find the values of a and c. Find the minimum value of y.
Click here to see answer by rothauserc(4718)

Question 1151785: How long is the minor axis for the ellipse shown below?
(X+4)^2/81 + (y-1)^2/36 =1
Click here to see answer by ikleyn(52795)

Question 1151785: How long is the minor axis for the ellipse shown below?
(X+4)^2/81 + (y-1)^2/36 =1
Click here to see answer by greenestamps(13200)

Question 1151839: A cylinder 2 inches in diameter and 10 inches long is cut into 2 pieces.
The cut is made at an angle of 15 degrees to the axis through a point on the axis 2 inches from one end.
A 2nd cut is made normal to the axis to produce a "wedge"
What is the volume of the wedge?
Click here to see answer by ikleyn(52795)

Question 1151870: What is the equation formed from the families of straight lines tangent to the parabola
Click here to see answer by MathLover1(20850)

Question 1151870: What is the equation formed from the families of straight lines tangent to the parabola
Click here to see answer by greenestamps(13200)

Question 1151936: Thx to Alan3354 & to Ikleyn for the problem a few days ago.
---
I have a similar problem.
A "wedge" is cut from a cylinder by 2 planes.
The angle between the planes is 15 degrees and the intersection of the planes is a diameter of the cylinder.
The cylinder's diameter is 2 inches.
Find the volume of the wedge.

Click here to see answer by Alan3354(69443)

Question 1152428: p=3.5x-y what is the value of p when x=12 and y=5

Click here to see answer by Theo(13342)

Question 1152644: Find the value/s of U so that the graph of the equation of Ux^2 + y^2 − 2Ux = 0 is a hyperbola.
Afterwards, identify the distance/s between the foci.
Click here to see answer by Edwin McCravy(20056)

Question 1152915: What happens to an ellipse if the values of a and b are equal?
Click here to see answer by math_helper(2461)

Question 1153601: Find the standard form of the equation for a hyperbola with the vertices (5,0) and (-5,0) and that passes through (6,11)
I don't know how to plug in the a, x and y values in order to get the right answer - thanks
Click here to see answer by greenestamps(13200)

Question 1153740: Write an equation of a hyperbola with the given foci and vertices
Foci (+-5,0), vertices (+-3,0)

Click here to see answer by MathLover1(20850)

Question 1153742: Write an equation of a hyperbola with the given foci and vertices
Foci (0,+-13), vertices (0,+-5)

Click here to see answer by MathLover1(20850)

Question 1153790: If S and S
′ are the foci and P is any point on a hyperbola, show that SP and S
′P
are equally inclined to the tangent at P.
Click here to see answer by MathLover1(20850)

Question 1153843: apply gauss-seidal iteration method to solve the equation:20x+y-2z=17, 3x+20y-z=-18, 2x-3y+20z=25
Click here to see answer by ikleyn(52795)

Question 1153847: The graph of a quadratic function passes through point A (1,8) and has x intercepts 2 and 5. What is the equation of the graph in factored form?
Click here to see answer by ikleyn(52795)

Question 1154217: A racetrack is in the shape of an ellipse, 170 feet long and 40 feet wide. What is the width 10 feet from a vertex?
Click here to see answer by ikleyn(52795)

Question 1154219: Find an equation for the ellipse.
foci at (-9,0) and (9,0); y-intercepts are -4 and 4
Click here to see answer by MathLover1(20850)

Question 1154831: *How to change general form to standard form y2+x+10y+26=0
Click here to see answer by MathLover1(20850)

Question 1154836: describe how the conic was formed using the
concept of locus. its a parabola y^2+x+10y+26=0

Click here to see answer by greenestamps(13200)

Question 1155123: Write the equation in standard form for the ellipses with vertices (0,12) and (0,-12), and co-vertices (-6,0) and (6,0)
Click here to see answer by ikleyn(52795)

Question 1155249: A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 152 feet and a maximum height of 35 feet. Find the height of the arch at 25 feet from its center.
Click here to see answer by greenestamps(13200)

Question 1155602: write the equation for a parabola with a focus at (-2,5) and a directrix at y = 3
Click here to see answer by josgarithmetic(39618)

Question 1155724: 7x^2+7y^2-10x+10y+7=0...length of latusrectum?
Click here to see answer by Edwin McCravy(20056)

Question 1156275: Let (x,y) be an ordered pair of real numbers that satisfies the equation
x^2+y^2=14x+48y. What is the minimum value of x?
Click here to see answer by Boreal(15235)

Question 1156751: Suppose that a circle is tangent to both axes, is in the third quadrant, and has a radius of \sqrt(2). Find the center-radius form of its equation.
Click here to see answer by ikleyn(52795)

Question 1156802: write an equation in vertex form with a= -2 and the vertex (-3, 5)
Click here to see answer by josgarithmetic(39618)

Question 1156802: write an equation in vertex form with a= -2 and the vertex (-3, 5)
Click here to see answer by MathTherapy(10552)

Question 1157836: A suspension bridge with weight uniformly distributed along its length has twin towers that extend 100 meters above the road surface and are 800 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 200 meters from the center.

Click here to see answer by josmiceli(19441)

Question 1158015: What is the standard and general equation of a parabola with vertex as (-1,2) and directrix of x=-3?

Click here to see answer by josgarithmetic(39618)

Question 1158015: What is the standard and general equation of a parabola with vertex as (-1,2) and directrix of x=-3?

Click here to see answer by MathLover1(20850)

Question 1158100: If the center of a hyperbola with a horizontal transverse axis is (2,6) and a^2 equals 49, then the coordinates of the vertices are ________

does anyone know the answer to this thanks
Click here to see answer by MathLover1(20850)

Question 1158255: A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid, with its focus 5 inches from the vertex. Determine the width of the dish if the depth is to be 3 feet. (Round your answer to two decimal places.)
Click here to see answer by josgarithmetic(39618)

Question 1158527: f(x)=x^2
g(x)=(x+4)^2-1
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation.
Use non-negative numbers.
To get the function g, shift f (up/down) by ___ units and to the (right/left) by ___ units.
Fill in blanks please & chose right or left for the question above please!
Click here to see answer by Boreal(15235)

Question 1158612: find the equation of the circle that passes through the 3 points (5, -7), (2, -4), and (5, -3).
Click here to see answer by solver91311(24713)

Question 1158612: find the equation of the circle that passes through the 3 points (5, -7), (2, -4), and (5, -3).
Click here to see answer by MathLover1(20850)

Question 1158612: find the equation of the circle that passes through the 3 points (5, -7), (2, -4), and (5, -3).
Click here to see answer by greenestamps(13200)

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