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

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Question 41072: Find the vertex, focus and directix of the graph of the equation:
12(y+3)=(x-1)^2

Click here to see answer by stanbon(75887) About Me 

Question 41060: What is the equation of the perpendicular bisector of the line between the points (2,2)and (6,6)?
Click here to see answer by fractalier(6550) About Me 

Question 41137: Please help me with this! Determine the quadratic equation for the parabola:
Minimum value is 4 when x=3
zeros of f: one is 6

Click here to see answer by venugopalramana(3286) About Me 

Question 41140: Find (a)the directix,(b)the focus and (c)the roots of the parabola y=x^2-5x+4
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Question 41247: Is this a formula for graphing a hyperbola or an ellipse?
(x-3)^2/25-(y-5)^2/4=1
I think it ellipse

Click here to see answer by Nate(3500) About Me 

Question 41334: Write an equation for the parabola with focus (1,3) and vertex (0,3).
Thanks

Click here to see answer by venugopalramana(3286) About Me 

Question 41380: Write an equation for a circle if the endpoints of a diametre are at (1,1) and (1,9).
Thank You

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Question 41411: Write an equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0).
I'm lost
thanks

Click here to see answer by venugopalramana(3286) About Me 

Question 41412: What is the equation of an ellipse with center (-4,2) and a horizontal major axis?
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Question 41522: Please Please help me so that I do not get a bad grade. I need a graph that should be a Hyperbola that approches X=2 Thanks
Click here to see answer by AnlytcPhil(1806) About Me 

Question 41523: Please Please help me so that I do not get a bad grade. I need a graph that should be a Hyperbola that approches X=2 Thanks
Click here to see answer by venugopalramana(3286) About Me 

Question 42040: how do u calculate the focus if the vertex is not at the origin?
Click here to see answer by fractalier(6550) About Me 

Question 42121: Identify the type of function represented by y=(x+1)^2-4.
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Question 42120: The distance a car can travel on a certain amount of fuel varies inversely with its speed. If a car traveling 50 mph can travel 300 miles on 10 gallons of fuel, how far could the car travel on 10 gallons of fuel at 60 mph?
Thank you

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Question 42120: The distance a car can travel on a certain amount of fuel varies inversely with its speed. If a car traveling 50 mph can travel 300 miles on 10 gallons of fuel, how far could the car travel on 10 gallons of fuel at 60 mph?
Thank you

Click here to see answer by psbhowmick(878) About Me 

Question 42122: Identify the type of function represented by: y=(x^2-9)/x-3.
Thank yoy

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Question 42118: If y varies inversely as x and y=2 when x=6, find y when x=36.
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Question 42125: Thomas can do a job in 4 hours. Julia can do the same job in 6 hours. How many hours will it take the two of them to do the job if they both work together?
Click here to see answer by fractalier(6550) About Me 

Question 42124: Solve: 4-(1/b)<3/b.
Thank you

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Question 42124: Solve: 4-(1/b)<3/b.
Thank you

Click here to see answer by fractalier(6550) About Me 

Question 42123: Solve: [n/(n-4)]+n=(12-4n)/(n-4).
Thank you

Click here to see answer by psbhowmick(878) About Me 

Question 42147: Write an equation for the hyperbola that satisfies each set of conditions.
vertices (9,-3) and (-5,-3), foci at (2(+or-)the square root of 53,-3)

Click here to see answer by AnlytcPhil(1806) About Me 

Question 42146: (x squared plus 25y squared equals 100)
x2 + 25y2 = 100
Graph each ellpise and find its foci.
(x squared plus 25y squared equals 100)

Click here to see answer by Nate(3500) About Me 

Question 41342: Please help me determine the center and radius of the circle with equation:
x^2+y^2=-4x+6y
Thank you

Click here to see answer by Nate(3500) About Me 

Question 42388: It is your task to find an example of each conic section in nature or in technology or in architecture, or any other place. Please label the item and describe the conic section it uses. If possible, tell why the conic section is used.
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Question 42549: Write an equation for an ellipse if the endpoints of the major axis are (-8,1) and (8,1) and the endpoints of the minor axis are at (0,-1) and (0,3).
Thanks

Click here to see answer by psbhowmick(878) About Me 

Question 42857: Find the exact solution(s) of the system: (x^2/4)-y^2=1 and x=y^2+1.
Thank You

Click here to see answer by fractalier(6550) About Me 

Question 43057: "Graph the equation, then choose the correct coordinates of the foci. Keep the graphs as they may be asked for at a later time. y^2= 5x^2+25." I keep trying to graph equations like this and find the foci, but the answers I get are never one of the answer choices. For this one I did:
y^2= 5x^2+25

y^2-5x^2= 25

(y^2-5x^2)/-5=25/-5
-1/5(y^2/-5-x^2)=-5/-5

y^2/25+x^2/5=1
y^2/(5)^2+x^2/(square root 5)^2=1
After that I had my x and y intercepts so I made my graph and tried to find the foci.
b^2=a^2-c^2
square root 5^2= 5^2-c^2
5= 25-c^2
5-25= -c^2
20= c^2
square root 20= c
I'd appreciate your help. These graphs have really been frustrating me. Please me know what I'm doing wrong. Thanx!

Click here to see answer by psbhowmick(878) About Me 
Question 43057: "Graph the equation, then choose the correct coordinates of the foci. Keep the graphs as they may be asked for at a later time. y^2= 5x^2+25." I keep trying to graph equations like this and find the foci, but the answers I get are never one of the answer choices. For this one I did:
y^2= 5x^2+25

y^2-5x^2= 25

(y^2-5x^2)/-5=25/-5
-1/5(y^2/-5-x^2)=-5/-5

y^2/25+x^2/5=1
y^2/(5)^2+x^2/(square root 5)^2=1
After that I had my x and y intercepts so I made my graph and tried to find the foci.
b^2=a^2-c^2
square root 5^2= 5^2-c^2
5= 25-c^2
5-25= -c^2
20= c^2
square root 20= c
I'd appreciate your help. These graphs have really been frustrating me. Please me know what I'm doing wrong. Thanx!

Click here to see answer by Nate(3500) About Me 

Question 43224: Give the equation for the circle with center C(3,-2) and radius 4. I came out with (x-3)^2+(y-2)^2=16. But I'm not sure if I worked it our right. thanks for looking it over.
Click here to see answer by AnlytcPhil(1806) About Me 

Question 43230: Give the equation for the right half of the circle. C(2,3). I plotted it out to x=2+squrt9-(y-3)^2. Not sure about the signs if I have them right or not. thanks for checking.

Click here to see answer by psbhowmick(878) About Me 
Question 43230: Give the equation for the right half of the circle. C(2,3). I plotted it out to x=2+squrt9-(y-3)^2. Not sure about the signs if I have them right or not. thanks for checking.

Click here to see answer by AnlytcPhil(1806) About Me 

Question 43302: Find the equation for the hyperbola described:
Asymptotes y=x and y=-x; foci (-4,0) and (4,0. Thank you for your help!

Click here to see answer by stanbon(75887) About Me 

Question 43396: Find the foci of an ellipse with the equation 7(x - 2)2 + 3(y - 2)2 = 21.
Click here to see answer by fractalier(6550) About Me 

Question 43395: Find the length of the major and minor axes of an ellipse with the equation 16x2 + 25y2 + 32x - 150y = 159.
Click here to see answer by fractalier(6550) About Me 

Question 43517: ) It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) Write a linear function that expresses the distance traveled, d, as a function of time, t.

Click here to see answer by Nate(3500) About Me 

Question 43399: 1.) 4y2-x2+8y+4x-4=0
Please include
a) standard equation form
b) opens up and down, or left and right
c) Vertex
e) Determine A and B
f) Graph (asymptotes, rectangular box)





Click here to see answer by Nate(3500) About Me 

Question 43680: Please help me solve this problem that I'm having difficulty solving. Thank you so much for your immediate assistance. smccollough1
4x^2+4y^2+4y=15
Please include the following:
a) equation
b) opens up and down, right or left
c) vertex
d) axis of symmetry
e) x-intercept (if they exist)
f) y-intercept (if they exist)
g) table of values
h) graph

Click here to see answer by Nate(3500) About Me 

Question 43767: Find the coordinates of the foci of the hyperbola: x^2/16 - y^2/4 = 1
Click here to see answer by Nate(3500) About Me 

Question 43748: Identify the solutions to the system of equations:
x2 + y2 = 25
16x2 + 25y2 = 400

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Question 43746: What is the graph of the equation x2 + 2x + 7 - y = 0?

Click here to see answer by psbhowmick(878) About Me 

Question 43860: Find the exact solutions of the system of equations x^2+2y^2=18 and x=2y
Thanks

Click here to see answer by adamchapman(301) About Me 

Question 43946: Graph the ellipse, then choose the correct foci.
x^2 + 25y^2 = 100

Click here to see answer by fractalier(6550) About Me 

Question 43947: Find an equation of an ellipse having the given intercepts:
x- intercept +_ 3
y- intercept +_ 4

Click here to see answer by fractalier(6550) About Me 

Question 43857: Write an equation for the circle with center (-4,√7) and radius of 5 units.
Thank You

Click here to see answer by fractalier(6550) About Me 

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