Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)
Question 77261: A commercial artist plans to include an ellipse in a design and wants the length of the horizontal axis to equal 10 and the length of the vertical axis to equal 6. What is the equation that could represent the ellipse?
Click here to see answer by stanbon(75887)  |
Question 77348: A searchlight is shaped like a paraboloid of revelution. If the light source is located 3 feet from the base along the axis of symmetry and the opening is 12 feet across, how deep should the searchlight be? Assume the light source is at the parabola's focus.
Click here to see answer by stanbon(75887) |
Question 77350: An airplane is circling an airport waiting to land. If the plane is currently at the point (-6, 3.46) as indicated on the graph and will begin its landing when it reaches the point P, find the cooridinates of P. If the control tower is located at the origin, how far is the plane from the control tower when it begins to land?
Obviously I know it's probably impossble to do this without me showing you the graph but I thought I'd still try. I've all ready figured out that the point P is (-2, -3.46) and the Origin is at (-4,0). Maybe with that information you can help me out? Thanks!
Click here to see answer by jim_thompson5910(35256) |
Question 77990: I can't figure out this hyperbola: (((3x^2 + y^2 +18x - 2y + 4=0))). This is what I've tried so far: 3x^2/3 + y^2 + 18x/3 - 2y +4=0
x^2 +y^2 + 6x - 2y =-4
x^2/-4 + y^2/-4 + -3x/2 + y/2 = 1)))
please help me
Click here to see answer by stanbon(75887) |
Question 77990: I can't figure out this hyperbola: (((3x^2 + y^2 +18x - 2y + 4=0))). This is what I've tried so far: 3x^2/3 + y^2 + 18x/3 - 2y +4=0
x^2 +y^2 + 6x - 2y =-4
x^2/-4 + y^2/-4 + -3x/2 + y/2 = 1)))
please help me
Click here to see answer by scott8148(6628)  |
Question 79138: A bridge is built in the shape of a parabolic arch. The bridge has a span of 120 feet and a maximum height of 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30 and 50 feet from the center.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 79604: draw the parabola. identify the focus and directrix.
4y=7x^2
write the standard form of the equation of the circle that passes through (1, -3) and whose center is the origin.
draw the circle 3x^2+3y^2=48.
hey thank you so much. i really don't understand this stuff at all and am at a total loss looking at both my book and my notes
Click here to see answer by Edwin McCravy(20056)  |
Question 80217: a cross section of a nuclear cooling tower is a hyperbola with equation x^2/90^2-y^2/130^2=1. The tower is 450 feet tall and the distance from the top of the tower to the center of the hyperbola is half the distance from the base of the tower to the center of the hyperbola. Fin the diameter of the top and base of the tower.
Click here to see answer by stanbon(75887) |
Question 80405: The Earth traces an elliptical path (with eccentricity e=0.017) around the sun. If the sun is at one of the foci and the length of half the major axis is 93 million miles, estimate the shortest distance between the earth and the sun.
Click here to see answer by stanbon(75887) |
Question 81603: Write the equation of the ellipse in standard form. Find the center, vertices and foci: 4x^2 - 8x +9y^2 +36y + 8 = 0
I know I have to complete the square twice. Eventually I get to a point where I have 4(x - 4^2 + 9(y+2)^2 = 92. I then multiplied both sides by 1/92, so that I could get 1 on the left. But when I go to put it in standard form, I don't know what to do since the denominators can't be squared nicely, and I have a number stuck in the top of one of my numerators. I'm not sure If I'm doing this right. Can anyone please help me? Thanks.
Click here to see answer by stanbon(75887) |
Question 82242: How do you do them because the question i have on a worksheet which is,4y^2=25-4x^2, doesn't really show me how to do this way in the book and i need help on it. Algbra has been really difficult for me and just want to pass, if i have any other questions i will be sure to contact you as soon as possible.
Click here to see answer by neta(14) |
Question 82248: Hi,
I'm having trouble in a section where we are to graph a parabola with horizontal and vertical axis. For example, the problem x=y^2-10y+30. I got the vertex (5,5) and since a=1 I know it opens to the right. I know for any constant d, the points on the parabola with y-coordinates 5-d and 5+d have the same x-coordinate. So I plug in 1 and have the y coordinates as ( ,4) and ( ,6). My problem is, I can't find the constant x-coordinate. I don't know how to get the x-coordinate. Can someone please help me figure out how to find the x-coordinate in this problem. I've tried everything and can't figure it out. Thanks so much!
Click here to see answer by stanbon(75887) |
Question 83012: 1. Find the Equation for the parabola with focus (3,2) and directrix y=6.
2. Write the equation for the circle with center (3,-4) and radius 5square root 2.
3. write the equation in conic standard form, then sketch the graph of the equation and state all important information.
4. Write equation for the ellipse with foci (9,0) and (-9,0) and endpoints on the verticle axis of (0,2) and (0,-2).
Click here to see answer by Edwin McCravy(20056) |
Question 83166: 1) write an equation for the parabola whose vertex is at (-8,4) and passes through (-6,-2)
2) i need to write: y=x square + 4x - 1 in vertex form
3) which quadratic function has its vertex at (-2,7) and opens down?
thank you
Click here to see answer by Mona27(45) |
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