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

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

Question 326965: x-intercepts for the parabola defined by the equation below.

y = 3x2 + 18x + 15
Click here to see answer by stanbon(57226)

Question 327106: A spotlight has a parabolic cross section that is 8ft wide at the opening and 3.5 ft. depp at the vertex. how far from the vertex is the focus in feet?
Answer:

thank you for your time!
Click here to see answer by nyc_function(2733)

Question 327530: which conic section is 6x^2/9+8y^2/12=1
Click here to see answer by Alan3354(30970)

Question 327801: Find an equation of a parabola with focus (3,2) and directrix x = 4
Click here to see answer by galactus(183)

Question 327856: I want to graph y=x+0 and y=x+2 in slope intercept form. Can you help me find a place where I can easily do this for a paper?
Click here to see answer by Fombitz(13828)

Question 328448: Give the slope of the asymptotes of the conic section x^2/144 + y^2/25=1
Click here to see answer by solver91311(16868)

Question 328447: What are the coordinates of the endpoints of the major axis in the graph of x^2/25 + y^2/9=1
Click here to see answer by Fombitz(13828)

Question 328600: What are (a)the x-intercepts,(b)the y-intercepts and (c) the foi of the following ellipse?(leave answers exact?
x^2/25+y^2/36=1
Click here to see answer by Fombitz(13828)

Question 329448: Can you show me how to get the equation of a parabola with a focus (17,9) and a directrix x=12?
Click here to see answer by stanbon(57226)

Question 329448: Can you show me how to get the equation of a parabola with a focus (17,9) and a directrix x=12?
Click here to see answer by Edwin McCravy(8880)

Question 329463: an ellispe has a foci of (-5,0) (5,0), what is the value of c^2
Click here to see answer by Fombitz(13828)

Question 329446: What is the equation of a parabola with a focus (10,6) and directrix y=4? Please show me how you get the answer.
Click here to see answer by galactus(183)

Question 329720: Please sketch this hyperbola and show me how you did it: x^2-y^2=1.
Click here to see answer by Edwin McCravy(8880)

Question 329723: Can you please define a hyperbola, show me its equation, and send me a picture of one?
Click here to see answer by Alan3354(30970)

Question 329995: find the radius of the circle with these three point (-8,-7)(-4,-7) and (-6,-5) and the center (-6,-7) .

Click here to see answer by czar222(1)

Question 330005: Find the radius of the circle with these three points: (-4,9),(-6,5), and (3,8) and the center(-1,5)

Click here to see answer by Alan3354(30970)

Question 329976: Prove that tan x (cot x + tan x) = sec^2x
Click here to see answer by mathslover(135)

Question 329974: solve the sytem:
2x + y - z = 10
6x + 5y - 2z = 23
3x - y + z = 5
Click here to see answer by Fombitz(13828)

Question 329973: solve the following system:
3x + 4y + x = 14
2y + 7z = 25
-2y + 3z = 5
Click here to see answer by Fombitz(13828)

Question 329975: given the parabola has a directrix of y= -3.25 and focus (0, -2.75), find the vertex and write an equation.
Click here to see answer by Fombitz(13828)

Question 330302: graph the eclipse
(x-3)^2 /4 + (y-4)^2 /25 =1
Click here to see answer by nyc_function(2733)

Question 330302: graph the eclipse
(x-3)^2 /4 + (y-4)^2 /25 =1
Click here to see answer by Alan3354(30970)

Question 330353: Please factor:
16b^6-2d^6
Click here to see answer by Fombitz(13828)

Question 330352: Please help by factoring completely:
2w^4-32
Click here to see answer by Fombitz(13828)

Question 330350: Please help with the following:
Factor completely:
5w^4-3125
Click here to see answer by edjones(7569)

Question 330471: Please help me solve using the principle of zero products:
(9c+5)(4c-12)=0
Click here to see answer by mananth(12270)

Question 330470: Please help me factor the trinomial:
w^2-3wg-70g^2
Click here to see answer by mananth(12270)

Question 330469: Please help me factor completely:
6g^2+19gd+10d^2
Click here to see answer by mananth(12270)

Question 330468: Please help factor completely:
(0.64y^2-0.0049)
Click here to see answer by mananth(12270)

Question 330467: Please help me factor the following:
81s^6-3f^6
Click here to see answer by mananth(12270)

Question 330467: Please help me factor the following:
81s^6-3f^6
Click here to see answer by vleith(2825)

Question 330522: find the center of the circle with these three points (3,5),(-3,11)and (-9,5)
Click here to see answer by Fombitz(13828)

Question 330985: Please help me factor the following:
81c^6-3f^6
Click here to see answer by Earlsdon(6287)

Question 331126: Write an equation of a parabola whose vertex is at (-2,1) and focus is at (-3,1).
I know that h=-2 and k=1, and that there are the two formulas for a parabola with vertex (h,k):
horizontal: (x-h)=m(y-k)^2 and vertical: (y-k)=m(x-h)^2
However, I do not know which formula I am supposed to use, and why. Please help and thank you!
Click here to see answer by Edwin McCravy(8880)

Question 331736: 1)if the line 3x+4y+k=0 touches the ellipse 9x2 +16y2=144 find the value of k
2)x-y=5 touches the ellipse whose foci are +-3,0 find the eq of ellipse
3)find the eq of ellipse passing through pt 2,-3 and touching the line x-2y+8=0
4)find k if y=x+k touches the ellipse 2x2 + 3y2=1
5)find the eq of tangent from -2,-1 to an ellipse 2x2 + 3y2 =6
6)prove that x+3 root y=9 is a tangent to an ellipse x2/9+y2/4=1 also find the pt of contact.
i am unable to solve these problem please help me solve it.i have test in tution today.want the solutin today itself.
Click here to see answer by Alan3354(30970)

Question 331970: Write an equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the end points of the minor axis are at (5,0) and (-3,0)
Click here to see answer by galactus(183)

Question 331973: Write an equation for the hyperbola with vertices (-10, 1) and (6,1) and foci (-12, 1) and (8,1).
Click here to see answer by galactus(183)

Question 332784: What are the foci of the ellipse x^2/16+y^2/49=1?
Click here to see answer by jrfrunner(365)

Question 332879: find N of the arithmetic sequence a1=-6, aN=-23, d=-1
Click here to see answer by jrfrunner(365)

Question 332883: find the center and radius of the equation x^2+y^2=64
Click here to see answer by solver91311(16868)

Question 332906: what is the center of the graph of 6(x+9)^2 + 4(y-2)^2 = 49?
Click here to see answer by nyc_function(2733)

Question 332884: write the equation in standard form x^2+y^2-4x-14y+29=0
Click here to see answer by benazir.sj@gmail.com(109)

Question 333265: Which of the following defines what a circle is?
1. a curve made by intersecting a cone with a plan
2. a curve made when the plan intersects the cone parallel with its base
3. a curve made when the plane intersects the cone parallel with its side
4. a curve made when the plane intersects the cone at some non-specific angle
Click here to see answer by Alan3354(30970)

Question 333574: What direction does the parabola y = 2(x - 1)2 - 5 open?
upward, downward, right or left?
Click here to see answer by unlockmath(1599)

Question 333559: What direction does the parabola y = 2(x - 1)2 - 5 open?
upward, downward, right, left?
Click here to see answer by Alan3354(30970)

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