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Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)
Question 147195: Write an equation in standard form for:
1. An ellipse with center a the origin, one vertex at (0,5) and one co-vertex at (0,2).
2. A parabola with vertex at the origin and directrix y=-2.
3. A circle with center (0,0) passing through (-3,4).
4. Hyperbola with vertices (8,-4) and (8,4) and foci (8,-6) and (8,6).
A few basic questions: What is a directrix and what is foci?
The other question: How would I go about figuring out the equations? What steps should I take?
Click here to see answer by Edwin McCravy(2922)   |
Question 147808: My question is: Write the equation for the ellipse whose center is the origin, has a horizontal major axis length of 12 and passses through the point (-4,2).
I need help with this, since the horizontal axis is at the origin I get that the foci is (-6,0) and (6,0). I find that the equation will be  but I am having trouble finding what  equals. Can you help me?
Click here to see answer by scott8148(3382)  |
Question 147808: My question is: Write the equation for the ellipse whose center is the origin, has a horizontal major axis length of 12 and passses through the point (-4,2).
I need help with this, since the horizontal axis is at the origin I get that the foci is (-6,0) and (6,0). I find that the equation will be but I am having trouble finding what equals. Can you help me?
Click here to see answer by Edwin McCravy(2922) |
Question 148000: Find the vertex and intercepts for this parabola:
g(x) = x^2 + x - 6
This is how I have worked it:
a = 1, b = 1, c = -6
x = -b/2a
x = -1/[2(1)] = -1/2
g(-1/2) = (-1/2)^2 + (-1/2) - 6
= 25/2
So, the vertex is (-1/2, 25/2)
Am I correct so far?
How do I verify that I am correct? What should my next step be?
I appreciate your help very much! Thank you!
Click here to see answer by jim_thompson5910(13794) |
Question 148125: Could someone please help me with this question?
Thanks in advance..
Michael
The edge of my kitchen counter top is the shape of an ellipse. Since my tiles were 18" squares, the deepest part is 18 inches deep and the edge tapers to 12 inches deep. The counter will be 6 feet long. You can see the counter outlined below if you look at the area that is both inside the blue ellipse and inside the brown rectangle at the same time.
What is the equation of this ellipse if everything is figured in inches?
Where do the foci of my “tacks” need to be placed to draw my counter edge?
How long should the “string” be to generate this curve?
Click here to see answer by stanbon(26274) |
Question 150467: A ball is thrown upward from a 100 foot tall building with an initial velocity of 14 feet per second. Its height s(t) in feet is given by the function s(t)= -16t^2+14t+100. Find the interval of time for which the height of the ball is greater than 103 feet.
I don't even know where to start.
Click here to see answer by ankor@dixie-net.com(6693)  |
Question 151732This question is from textbook College Algebra
: Hello,
Can someone please help me with this math question. I am very bad with this kind of math.
Thank you,
Droxygirl1001
A satellite has an elliptical orbit around the earth with one focus at the earth’s center, E. The earth’s radius is 4,000 miles. The highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. What is the eccentricity of the satellite’s orbit?
This question is from textbook College Algebra
Click here to see answer by scott8148(3382) |
Question 151731This question is from textbook College Algebra
: Hello,
Can someone please help me with this math question. I am very bad with this kind of math.
Thank you,
Droxygirl1001
A satellite has an elliptical orbit around the earth with one focus at the earth’s center, E. The earth’s radius is 4,000 miles. The highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. What is the eccentricity of the satellite’s orbit?
This question is from textbook College Algebra
Click here to see answer by scott8148(3382) |
Question 151908This question is from textbook College Algebra
: Hello,
Can someone please help me with this math problem. I am having a hard time trying to figure this out I am not very good at this kind of math.
Thank you,
Droxygirl1001
Problem: The moon travels an elliptical path with Earth as one focus. The maximum distance from the moon to Earth is 405,500 km and the minimum distance is 363,300 km.
(1) What is the eccentricity of the orbit?
(2) For a planet or satellite in an elliptical orbit around a focus of the ellipse, perigee (P) is defined to be its closest distance to the focus and apogee (A) is defined to be its greatest distance from the focus. Show that is equal to the eccentricity of the orbit.
(3) Find the Apogee. Find the Perigee.
This question is from textbook College Algebra
Click here to see answer by vleith(1977) |
Question 153079This question is from textbook College Algebra
: I am having the worest luck tonigh I can not get these question to come out right. Can someone please help me!
Here is the Problem and the Question!!
i) Problem: The moon travels an elliptical path with Earth as one focus. The maximum distance from the moon to Earth is 405,500 km and the minimum distance is 363,300 km.
(1) What is the eccentricity of the orbit?
(2) For a planet or satellite in an elliptical orbit around a focus of the ellipse, perigee (P) is defined to be its closest distance to the focus and apogee (A) is defined to be its greatest distance from the focus. Show that is equal to the eccentricity of the orbit.
(3) Find the Apogee. Find the Perigee.
This question is from textbook College Algebra
Click here to see answer by stanbon(26274) |
Question 153157: I'm not sure the answer I got for this is right.
Find the vertex and axis of symmetry of the following parabola.
f(x) = x^2 - 6x + 11
My work:
(-3) ^2
y = (x-3)^2 + 11 - 9
y = (x-3)^2 +2
a = 1
h =3
k = 2
Vertex : (3,2)
No asymptotes
Can anyone tell me if this is correct and point me in the right direction if it isn't?
Thanks!
Click here to see answer by stanbon(26274) |
Question 152896: The moon travels an elliptical path with Earth as one focus. The maximum distance from the moon to Earth is 405,500 km and the minimum distance is 363,300 km.
(1) What is the eccentricity of the orbit?
(2) For a planet or satellite in an elliptical orbit around a focus of the ellipse, perigee (P) is defined to be its closest distance to the focus and apogee (A) is defined to be its greatest distance from the focus. Show that  is equal to the eccentricity of the orbit.
(3) Find the Apogee. Find the Perigee.
Click here to see answer by Edwin McCravy(2922) |
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