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

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Question 337745: Find the rectangular equation of the curve whose parametric equations are: x=5cos 2t and y= -sin 2t, 0 =< t =< 180degrees
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Question 337745: Find the rectangular equation of the curve whose parametric equations are: x=5cos 2t and y= -sin 2t, 0 =< t =< 180degrees
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Question 338132: Find parametric equations for the rectangular equation: (x+2)^2 = 4(y-1)
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Question 339243: they told me to graph each conic section,then label its vertices and center and state them.
I already converted the equation to standard form but i don't know how to graph it, can you just help me please with an equation, the equation is
x^2/25 +(y-2)^2/25+1

Click here to see answer by Alan3354(69443) About Me 

Question 339553: Hi, I have a question on finding the vertex, focus and directrix in this equation: y = 5 - 6x - 3x^2
Step by step help, would be greatly appreciated. Thank you.

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Question 339942: If a right circular cone intersects a plane that runs parallel to the cone's axis (but does not pass through its vertex), the resulting curve will be a(n) _____.

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Question 341412: What are the x- and y-intercepts of the ellipse x^2/25+y^2/4=1
x = ±2, y = ±5
x = ±4, y = ±25
x = ±5, y = ±2
x = ±25, y = ±4



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Question 341469: Where does the parabola with the vertex (-4,5)and y-intercept -27 cross the x-axis?
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Question 344558: Solve each equation for y to get two seperate functions that could be entered into a graphing calculator. Then combine both functions to create a single relation that involves x and y.
a. (y+2)squared=x
b. ysquared=x+2
c. (y+1)squared=x-6

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Question 344564: Solve.
a. (x+4)squared -5= 31
b. 14+(x+12)squared=35

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Question 342914: Find the eccentricity of the hyperbola given by x^2/5^2-y^2/2^2=1
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Question 344876: Find the inverse of the function f(x)=8x+16
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Question 344879: write log7 49= 2 in exponential form
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Question 346252: what are the solutions for this equation:
4(x)^2+(y)^2=4

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Question 346540: What is the focus and the directed line using the parabola function of y=x^2-8x-9 thank you!
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Question 347502: find the inverse of the matrix.
-9 5
6 -3

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Question 347501: find the inverse of the matrix.
-9 5
6 -3

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Question 347596: evaluate the following determinants.
-2 -1 0
-3 5 -2
0 8 -1

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Question 348281: The equation y = 0.5x - .01x^2 represents the parabolic flight of a certain cannonball shot at an angle of 26 degrees with the horizon and an initial velocity of 25 meters per second. In this equation, y is the height of the cannonball, in meters, and the x is the vertical distance traveled, in meters. Given the coordinates of (10,4) and (40,4) lie on the parabola, at what x-coordinate must the vertex lie?
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Question 349347: When you use the chain rule to find the slope of a tangent line for the equation x^2+4y^2=4 at point (sqrt(2), -1/sqrt(2)) the slope comes out as m=-1/2 .
When you use implicit differentiation, however, the slope comes out as m=1/2 The back of my textbook states the answer as m=1/2.
Why is m=-1/2 not the correct slope and why does the chain rule give me that answer?

Click here to see answer by jsmallt9(3758) About Me 

Question 349811: sketch the graph of each ellipse
1.x^2/9+y^2/4=1
2.x^2/9+y^2=1
3.x^2+y^2/4=1
4.y^2/4-x^2/25=1
5.y^2/9-X^2/16=1
6.x^2/25-y^2=1
7.x^2-y^2/9=1
8.x^2-y^2/25=1
9.x^2/9-y^2=1
10.9x^2-16y^2=144
11.9x^2-25y^2=225
12.x^2-y^2=1
13.y^2-x^2=1

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Question 349798: sketch the graph of each ellipse
x^2/9+y^2/4=1

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Question 350003: what is the equation of the parabola who has a focus of (3,-5) and the equation of the directrix is y=-2?
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Question 350216: Identify the conic. Choose the conic and its center.
16x2 + 25y2 - 96x - 200y = -144

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Question 350842: Please identify the type of conic section whose equation is given and find the vertices and foci.
y^2 - 8y = 6x - 16

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Question 351740: If you intersect a cone with a plane that's parallel to the base of the cone what do you get
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Question 351795: what is 4x+8y-16=0
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Question 352059: What is the Range and Domain of g(x)=2(3)^(x-5)- 6
Thank You! I really appreciate that!

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Question 351802: (x-3)^2/9+(y-2)^2/4=1
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Question 352400: how do i graph and label the function Y=(x-3)^2
Label the vertex and axis of symmetry

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Question 352315: find the center of an ellipse with the equation 9x^2+16y^2-18x+64y=71

Find the foci of an ellipse with the equation 7(x-2)^2+3(y-2)^2=21

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Question 352781: A parabola's vertex is at the point (10,0). If this parabola passes through the point (8,4), where must it cross the y-axis?
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Question 352310: find the center of a circle with the equation x^2+y^2+2x+4y-9=0
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Question 353084: f(x)=1/5(x+3)^2+3 Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the fuction. Please I need someones assistance.
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Question 353070: Graph the quadratic equation, label the vertex and the x-intercepts (zeros).
y=(x+2)^2-3

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Question 353217: identify the vertex the axis of symmetry the max or min value and the range of each parabola
y=x^2+2x+1

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Question 353069: Change the quadratic equation into factored form. Find the zeros. y=3x^2-x-2
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Question 353677: the vertex of the parabola is at (2,-1).when the y-value is at 0, the x-value is at 5. what is the coefficient of the squared term in the parabolas equation?
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Question 354724: how do you do this problem? i have notes but im not able to figure out how to work it out. i do it and i get a different answer each time.
y=2(x+1)^2

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Question 355463: Graph each circle. Label the center and radius length.
x^2+y^2=4

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Question 355460: Graph each circle. Label the center and radius length.
x^2+(y+6)^2=9

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Question 355608: Graph each circle. Label the center and radius length.
(x+2)^2+(y+3)^2=16

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Question 355607: Graph each circle. Label the center and radius length.
X^2+y^2=25

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Question 355606: Graph each circle. Label the center and radius length.
(x-3)^2+y^2=36

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