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

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Conic sections - ellipse, parabola, hyperbola Solvers Lessons Answers archive Quiz In Depth

 Question 22091: classify the conic section and write each equation in standard form. x^2-8x+4y+16=0, 3x^2+3y^2-30x+59=0, x^2+2y^2-8x+7=0, 4x^2-y^2+16x+6y-3=0, 3x^2=y^2-4y+3=0, x^2+y^2-2x+1oy+1=0 Click here to see answer by venugopalramana(3286)

 Question 21336: i have hti sproblem x^2+8x-y+6=0 i need to find the focus,directrix and the vertex. where i get lost at is -y+6=-x^2-8x then hwat is next. thank you for your help Click here to see answer by stanbon(57347)

 Question 22081: y2 - 12y + 4x + 4 =0 Click here to see answer by rapaljer(4667)

 Question 23302: The Earth is closest to the sun in January. The closest point, or perihelion, is 1.47 x 10^8km from the sun. The Earth is farthest from the sun in july. The farthest point or Aphelion, is 1.52 x 10^8 km from the sun. Write an equation of the ellipse that models the Earth orbit around the sun. Assume that the centre of the ellipse is at the origin and that the major axis is along the x-axis. -------------------------Earth Perihelion.___sun_________.Aphelion -----------> assuming this is the ellipse. Click here to see answer by stanbon(57347)

 Question 21722: I just need this question checked. Here it is.... A mining company has determined that the cost in dollars, c, per ton of mining a mineral is given by c(x)=0.2x2(squared)-2x+12 where x is the number of tons of the mineral that is mined. Find the number of tons of the mineral that should be mined to minimize the cost. What is the minimum cost? i got the minimum cost should be 7 is this right? if not please help! Click here to see answer by stanbon(57347)

 Question 22088: classify conic section and write equation in standard form x^2+4y^-2x-3=0, 2x^2=z0x-y=41=0, 5x62-3y^2-30=0, x^2=y^2-12x=4y=31=0, y^2-8x-4y=4=0, -x^2+y^2-6x-6y-4=0 Click here to see answer by venugopalramana(3286)

 Question 23529: Find an equation of the hyperbola such taht for any point on the hyperbola. the difference between its distance from the points (2,2) and (10,2) is 6. Click here to see answer by AnlytcPhil(1277)

 Question 23528: A ship is monitoring the movement of a pod of whales with its radar. The radar screen can be modelled as a coordinate grid with the ship at the centre (0,0). The pod appears to be moving along a curve such that the absolute value of the difference of its distances from (2,7) and (2,-3) is always 6. Write an equation in standard form of hyperbola to describe the path of pod. So far I got... the centre at (2,2) and 6/2 = 3^2 = 9 And the equation: x-2/a^2 - y-2/9 =1 I can't figure out (a Click here to see answer by Paul(988)

 Question 23721: How can you tell if a parabola opens left/right or up/down such as for this question. The foucs (-3,5) diretrix at x= 1 --> write it in standard form and tell whether it opens right/left or up/dpwn. Click here to see answer by stanbon(57347)

 Question 23745: The stream of water from some water fountains follows a path in the form of a parabolic arch. For one fountain, the maxium height of the water is 8 cm, and the horizontal distance of the water flow is 12cm. Find an equation of the parabola. Assume that the water spout is located at the origin. Click here to see answer by khwang(438)

 Question 24303: find the foci of the ellilpse with the equation X2/49+y2/64=1 Click here to see answer by Paul(988)

 Question 24555: what is the center of the circle x^2 + 4x + y^2 + 2y - 9 = 0? Click here to see answer by kev82(148)
 Question 24555: what is the center of the circle x^2 + 4x + y^2 + 2y - 9 = 0? Click here to see answer by askmemath(368)
 Question 24555: what is the center of the circle x^2 + 4x + y^2 + 2y - 9 = 0? Click here to see answer by Earlsdon(6287)

 Question 25386: hey how can i solve a hyperbola equation what means asymptote slope Click here to see answer by elima(1433)

 Question 25647: How do you write an equation for a parabola when given the vertex points and focus points? Click here to see answer by stanbon(57347)

 Question 24554: what is the equation of a parabola whose vertex is the origin and whose directrix is the line y=-3? Click here to see answer by venugopalramana(3286)

 Question 26648: I need help with these problems (Please!) 1) Find the vertex and focus of the parabola whose equation is 8(y-4)=(x+1)2exponent Click here to see answer by venugopalramana(3286)

 Question 26655: Find the foci of the ellipse whose equation is (y^2/16) + (x^2/12) = 1 Click here to see answer by venugopalramana(3286)

 Question 26656: Find the slopes of the hyperbola whose equation is (y^2/64)-(x^2/36)=1. Click here to see answer by venugopalramana(3286)

 Question 27474: how do you fing the focus of a parabola when it is 9.5 inches deep and 10.5 inches wide? Click here to see answer by venugopalramana(3286)

 Question 27693: what are the equations for each of the conic sections? ex. circle is (y-h)^2+(x-k)^2=radius^2 Click here to see answer by venugopalramana(3286)

 Question 27789: two points (1,y)and (-1,x)lie on the curve y=px^2+qx+5 if y+x=14 what is the value of p? Click here to see answer by sdmmadam@yahoo.com(530)

 Question 27825: I dont get how to find the foci! and i guess it;s crucial for this chapter. hyperbolas stink! how do i find the vertecies foci and the slope of:y^2 over 36 minus x^2 over 4 equals one?? please help me! Click here to see answer by bmauger(101)

 Question 27826: My question is for hyperbolas, I need to fine the vertecies foci slope and then draw a graph, the problem is i was sick the day my Algebra teachr went through it and my personal oppinion he should not be teaching math because he doesnt answere my questions! one of the many equations is: (x+6) quantity squared over 25, minus (y+3) quantity squared over 9 quals(=) 1(one) please help me get this stuff! -Sick and Desperate Click here to see answer by bmauger(101)

 Question 27833: byperbolas, last one i swear. first i would appreciate it if u defined some words for me and tell me what they are/do. Asymptote, transverse axis,what the a^2 and b^2 do. Next I dont get how to graph the hyperbolas, more specific how to pull info from the graph to the equation, whats standard form for a hyperbola. and last section my book gave me a formula xy=c is a hypebola with the x and y axis as asymptotes(dont know what it means) Sketch the graph of each hyperbola. they problem is xy=8 I promis I'll leave ya alone just lay some stuff out for me please!! thanks! Click here to see answer by venugopalramana(3286)

 Question 27834: I cant say how much i appreciate your help and i will leave you alone after this last one. xy=c is a hyperbola with the x- and y- aves as asymptotes. I need to sketch the graph the problem is xy=-12 thanks so much -Sick and Desperate Click here to see answer by venugopalramana(3286)

 Question 27832: byperbolas, last one i swear. first i would appreciate it if u defined some words for me and tell me what they are/do. Asymptote, transverse axis,what the a^2 and b^2 do. Next I dont get how to graph the hyperbolas, more specific how to pull info from the graph to the equation, whats standard form for a hyperbola. and last section my book gave me a formula xy=c is a hypebola with the x and y axis as asymptotes(dont know what it means) Sketch the graph of each hyperbola. I promis I'll leave ya alone just lay some stuff out for me please!! thanks! Click here to see answer by venugopalramana(3286)

 Question 27829: It's the sick one again, Im in a conic section and it wants me to write and equation for the hyperbola described: the vertecies of the hyperbola are at (0,-4) and (0.4). the Conjugate,(define it for me please) axis has a length of 14 units. Please explain this to me it wont help if i dont get it. -Sick and Desperate Click here to see answer by venugopalramana(3286)

 Question 27828: Hyperbolas, i need to write an equations for a hyperbola centered at (-4,5) and has a vertical transverse axis. the value of "a" is 4 and the value of "b" is 9. help me please!!! Click here to see answer by venugopalramana(3286)

 Question 27982: What is the equation of the parabola that moves the parent graph of y=x^2 down 10 units??????? Click here to see answer by venugopalramana(3286)

 Question 28016: What is the equation of a parabola that passes through the points (1,6),(-2,27), (2,11)? Click here to see answer by bmauger(101)