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

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

Question 389514: An isosceles triangle with base 6 cm and base angles 30 degrees each is inscribed in a circle. A second circle,which is situated outside the triangle, touches the first circle and also touches the base of the triangle at its midpoint. Find its radius.
Click here to see answer by lwsshak3(6748)

Question 389754: -x^2+y^2+4x-13=0
classify each conic section and sketch it on a graph
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Question 390072: A ball is tossed into the air at an initial velocity of 38.4ft/sec from .96 feet off of the ground.
At what point does the ball hit the ground?
I figured out that the equation is y=-16t^2+38.4t+.96
I also figured out that the maximum height of the ball is 24 feet and it reaches it's maximum in 1.2 seconds.
Click here to see answer by stanbon(57949)

Question 390113: If a circle intersects the hyperbola at four distinct points (x_i, y_i), i = 1,2,3,4, then prove that x_1*x_2 = y_3*y_4.
Click here to see answer by richard1234(5390)

Question 390113: If a circle intersects the hyperbola at four distinct points (x_i, y_i), i = 1,2,3,4, then prove that x_1*x_2 = y_3*y_4.
Click here to see answer by robertb(4012)

Question 389917: Find the x-intercept of the parabola with vertex (-3,-18)and y-intercept(0,0).
Click here to see answer by lwsshak3(6748)

Question 390243: one x-intercept for a parabola is at the point (1,0). use the factor method to find the other x-intercept for the parabola defined by this equation: y=4x^2+4x-8
Click here to see answer by ewatrrr(10682)

Question 390231: One focus is at (-3.66,-3).Find the other focus for the ellipse defined by this equation (x-2)^2/81 + (y+3)^2/49=1. I have no Idea how to do this please help,I'd appreciate it.
Click here to see answer by lwsshak3(6748)

Question 386167: Find the vertex of the parabola.
f(x)=-3x^2+16.2x-20.8
Click here to see answer by lwsshak3(6748)

Question 390339: A road is 32 feet wide is 0.4 foot higher in the center then it is on its sides.
a) Find the equation of the parabola (Assume that the origin is at the center of the road) - Show all work
b) How far from the center of the road is the road surface 0.1 foot lower than in the middle? -show all work.
please show work and thank you.
Click here to see answer by ankor@dixie-net.com(15746)

Question 390367: How do I solve the following system of conic sections??? x^2+y^2+2x+2y=0 and x^2+y^2+4x+6y+12=0.
Click here to see answer by ewatrrr(10682)

Question 390535: One Minor axis vertex is located at (2,-2).Find the other minor axis vertex for the ellipse defined by the equation. (x-1)^2/1 + (y+2)^2/49 =1. I know that the center is (1,-2) and A^2= 49 A=7 but I don't know what to do after that to solve this problem. please help.
Click here to see answer by ewatrrr(10682)

Question 390977: One focus is located at (-6,-10.32).Find the other focus defined by this equation: (x+6)^2/25+(y+7)^2/36=1.I have no Idea how to do this.please help,I'd appreciate it.
Click here to see answer by ewatrrr(10682)

Question 390942: Find the length of the minor axis for the ellipse: (x+6)^2/1+ (y+9)^2/16=1.
Click here to see answer by Edwin McCravy(8999)

Question 391114: What would these equations be in standard form???
I know that this is a hyperbola - x^2-y^2-8x+10y+15=0
And this is a parabola - y^2+4y-8x+4=0
Click here to see answer by solver91311(17070)

Question 391122: how do i find all the important information(vertex, co vertices ect.) to
(x-2)2 + (y-2)2 = 1
_____ _______
16 4
Click here to see answer by haileytucki(390)

Question 391149: How do I find the solution to the following system of conic sections???
(x^2/4) + y^2 = 1
y = x + 1
I know that the first equation is an ellipse and the second is a line and there are as many as two possible solutions to the system.
Click here to see answer by scott8148(6628)

Question 391295: How can I put this equation in the form of solving for Y? :
x^2/4=〖1-y〗^2/25
Click here to see answer by haileytucki(390)

Question 391346: Find the vertices of the hyperbola defined by this equation: (x+3)^2/1 - (y-2)^2/16 = 1. Pleas help How do I solve this?
Click here to see answer by ewatrrr(10682)

Question 391376: A hyperbola has vertices (8,0)and (-8,0)Its foci are located at (√(89),0) and(-√(89),0) identify the equation of this hyperbola. I honestly have no Idea how to solve this please help.Thanks in advance. :)
Click here to see answer by ewatrrr(10682)

Question 390926: how do you isolate the y in an ellipse equation like (x+6)^2/4+(y-5)^2/16=1?
Click here to see answer by lwsshak3(6748)

Question 391509: How do you identify the center, and radius from an equation? I also need help sketching the graph.
Click here to see answer by Alan3354(31503)

Question 386857: write an equation for the hyperbola that satisfies each set of conditions. vertices (0,-4) and (0,4), conjugate axis of length 14 units
Click here to see answer by lwsshak3(6748)

Question 386137: Write the following parabola in standard form X=Y*2-6Y+11. (notice y is squared not times 2) WHat is the vertex and equation of axis of symemtry
Click here to see answer by lwsshak3(6748)

Question 391728: find the vertex of the parabola,x2+4x+2y-7=0.
Click here to see answer by ewatrrr(10682)

Question 391748: A hyperbola has vertices (4,0) and (-4,0).Its foci are located at (√(20),0) and (-√(20),0).Find the equation of the hyperbola.
Click here to see answer by ewatrrr(10682)

Question 391784: Find the foci of the hyperbola defined by the equation: (x-6)^2/16 - (y+6)^2/4 = 1.I keep getting this question wrong I though I knew how to do this.Please help.
Click here to see answer by jsmallt9(3296)

Question 391745: y = 5(x+2)^2 + 7.
find the focus of the parabola ....
Click here to see answer by lwsshak3(6748)

Question 391623: How do I identify the equation (name the conic section), and then convert the equation to its standard form by completing the square on x and y
for the equation
4y^2-9x^2-16y-36x-56=0
Click here to see answer by lwsshak3(6748)

Question 386107: Find the eccentricity of the ellipse given by: x^2/144 + y^2/63 = 1
Click here to see answer by lwsshak3(6748)

Question 391959: Fins the vertices of the hyperbola defined by the equation.The equation is (y+3)^2/49 - (x-9)/64 = 1. it tells be to put my answer in this form (x1,y1) (y2,y2).I keep getting this question wrong could someone help.
Click here to see answer by Edwin McCravy(8999)

Question 390094: how do I graph these two equations ? (x^2-12x+84=y^2+16y) , (x^2+y^2=4x+9) ? (ie, simplify, get center/radius)
Click here to see answer by lwsshak3(6748)

Question 386168: Graph
x^2 + 2x - 8y + 25 = 0
Click here to see answer by lwsshak3(6748)

Question 384959: find the equation of the conic given: foci:(0,8) (0,-8) and vertices (0,11)(0,-11)
Click here to see answer by lwsshak3(6748)

Question 392641: 1) find the value of a for which the graph of y=ab^x is a horizontal line 2) find the value of b for which the graph of y=ab^x is a horizontal line. explain how you found your answers
Click here to see answer by richard1234(5390)

Question 393034: 1) which type of conic section is represented by the equation below? x^2-4x+5y-7=0
2)which conic section is represented by: 3y^2-x-30y+66=0?
Click here to see answer by robertb(4012)

Question 393102: Find the equation of the line normal to the curve
at the point (3,1)
Click here to see answer by Edwin McCravy(8999)

Question 393972: write a quadratic function in vertex form. write the equation for the axis of symmetry of the parabola.
Click here to see answer by solver91311(17070)

Question 394291: The Mu Alpha Theta club decided to open a lemonade stand to raise money. The club initially charged $1.25 for each glass of lemonade and sold 30 glasses. They noticed however that for every increase in price of ten cents they would sell one less glass. What should they do?
Make a table, graph your data, and write an equation for revenue.
Click here to see answer by josmiceli(9817)

Question 394062: A tunnel through a mountain takes the shape of a semi-ellipse. The tunnel is 100 feet wide and has a maximum height at its center of 30 feet. If the clearance height for vehicles needs to be a minimum of 16 feet, how much total width do they have available?
Click here to see answer by lwsshak3(6748)

Question 394753: Choose the graph that models the equation.
x + y + 6z = 6

Click here to see answer by richard1234(5390)

Question 392638: describe the similarities and differences between hyperbolas and ellipses
Click here to see answer by lwsshak3(6748)

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