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

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Question 40293: The first artificial satellite to orbit Earth was Sputnik I, launched by the Soviet Union in 1957. The orbit was an ellipse with Earth's center as one focus. The orbit's highest point above Earth's surface was 583 miles, and its lowest point was 132 miles.
a) find an equation of the orbit.
b) how far from Earth is the other focus?
c) What is the length of the major axis?
Click here to see answer by stanbon(57387)

Question 40291: Australian football is played on an elliptical field. The official rules state that the field must be between 135 and 185 meters long and between 110 and 155 meters wide.
a) write an equation for the largest allowable playing field.
b) write an equation for the smallest allowable playing field.
c) write an inequality that describes the possible areas of an Australian football field.
Click here to see answer by AnlytcPhil(1278)

Question 39956: Identify the conic section for the equation. How can you tell the difference between the four conic sections? parabola, ellispe, hyperbola and circle?
Equations:
1. x^2 + y^2 = 36
2. 4x^2-9y^2=36
Click here to see answer by fractalier(2101)

Question 40448: using the formulas for parabolas, graph and write the equations of parabolas with the following properties. Graph an extra point other than a vertex. The Parabola with focus (0, 5) and directrix y= -5.
Click here to see answer by Nate(3500)

Question 40873: Given the standard equation (y-2)^2=16(x+4) determine which conic section it represents, and name the vertex.
Click here to see answer by fractalier(2101)

Question 41063: What is the equation of a parabola with vertex (0,0) and focus (0,4)? and then draw it graph.
Click here to see answer by stanbon(57387)

Question 41072: Find the vertex, focus and directix of the graph of the equation:
12(y+3)=(x-1)^2
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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(2101)

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)

Question 41140: Find (a)the directix,(b)the focus and (c)the roots of the parabola y=x^2-5x+4
Click here to see answer by venugopalramana(3286)

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)

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)

Question 41380: Write an equation for a circle if the endpoints of a diametre are at (1,1) and (1,9).
Thank You
Click here to see answer by askmemath(368)

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)

Question 41412: What is the equation of an ellipse with center (-4,2) and a horizontal major axis?
Click here to see answer by venugopalramana(3286)

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(1278)

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)

Question 42040: how do u calculate the focus if the vertex is not at the origin?
Click here to see answer by fractalier(2101)

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
Click here to see answer by fractalier(2101)

Question 42122: Identify the type of function represented by: y=(x^2-9)/x-3.
Thank yoy
Click here to see answer by fractalier(2101)

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(2101)

Question 42124: Solve: 4-(1/b)<3/b.
Thank you
Click here to see answer by ind_blade(2)

Question 42124: Solve: 4-(1/b)<3/b.
Thank you
Click here to see answer by fractalier(2101)

Question 42123: Solve: [n/(n-4)]+n=(12-4n)/(n-4).
Thank you
Click here to see answer by psbhowmick(529)

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(1278)

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)

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)

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.
Click here to see answer by Nate(3500)

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(529)

Question 42561: If the focus of a parabola is F(-3,-1) and the vertex is V(1,-1), what is the directix? Thanx!
Click here to see answer by fractalier(2101)

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(2101)

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(529)

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(1278)

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(529)

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(57387)

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(2101)

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(2101)

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)

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)

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