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

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Algebra: Conic sections - ellipse, parabola, hyperbola

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Question 193437: what do they mean by find the exact solutions of each system of equations: x^2+y^2=100 and y=2-x?
Click here to see answer by stanbon(26367)

Question 193436: how would you graph x^2=36-y^2?
Click here to see answer by josmiceli(3021)

Question 193521This question is from textbook algebra and trigonometry structure and method book 2
: Find the vertex, focus, directrix, and axis of symmetry of each parabola.
x^2+8y+4x-4=0
We have been using the formulas y-k=a(x-h)^2 and x-h=a(y-k)^2 I don't understand which to use here, even after completing the square and its confusing because I don't know which is which. please explain and be specific. thank you.This question is from textbook algebra and trigonometry structure and method book 2

Click here to see answer by jim_thompson5910(13811)

Question 193531This question is from textbook algebra and trigonometry structure and method book 2
: Find the vertex, focus, directrix, and axis of symmetry of each parabola.
x^2+8y+4x-4=0
We have been using the formulas y-k=a(x-h)^2 and x-h=a(y-k)^2 I don't understand which to use here, even after completing the square and its confusing because I don't know which is which. please explain and be specific. thank you.This question is from textbook algebra and trigonometry structure and method book 2

Click here to see answer by Mathtut(3670)

Question 193533This question is from textbook algebra and trigonometry structure and method book 2
: Find the vertex, focus, directrix, and axis of symmetry of each parabola.
x^2+8y+4x-4=0
We have been using the formulas y-k=a(x-h)^2 and x-h=a(y-k)^2 I don't understand which to use here, even after completing the square and its confusing because I don't know which is which. please explain and be specific. thank you. We also use the fact that the focus is F(h,k+c) when a=1/4c. Please explain in these terms so that I can understand. thank you.This question is from textbook algebra and trigonometry structure and method book 2

Click here to see answer by jim_thompson5910(13811)

Question 193559This question is from textbook algebra and trigonometry structure and method book 2
: ``Find the vertex, focus, directrix, and axis of symmetry of each parabola.
x^2+8y+4x-4=0
We have been using the formulas y-k=a(x-h)^2 and x-h=a(y-k)^2 I don't understand
which to use here, even after completing the square and its confusing because I
don't know which is which. please explain and be specific. thank you. We also
use the fact that the focus is F(h,k+c) when a=1/4c. Please explain in these
terms so that I can understand. thank youThis question is from textbook algebra and trigonometry structure and method book 2

Click here to see answer by stanbon(26367)

Question 193686: Hello, I have to find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse with the equation:

I am having difficulty with the coefficients, I am not sure how to complete the square. Any help and explanations would be great. Thanks!

Click here to see answer by Mathtut(3670)

Question 193761: please show me each step for these three problems along with the solution:
Directions: Write the standard form of the equation of a parabola that contains the given points.
First problem First set of given points (-1,12)(1,0)(2,-3)
Second problem second set of given points (-2,13)(-1,6)(1,4)
Third problem third set of given points (-2,12)(-1,5)(2,20)
Click here to see answer by solver91311(5106)

Question 193915: PLEASE HELP ME WITH THIS!
Use the given information to write an equation of the circle.
16. radius 3, center (2, 4)

17. area 12.57, center (1, -2)
18. center (5, -1), circumference 5p
19. center (0, 0), passing through (2, 0)
Click here to see answer by solver91311(5106)

Question 194051: What shape does this equation make? (circle, ellipse, hyperbola)
4x^2 + 16x + y^2 - 6y = -21
Click here to see answer by solver91311(5106)

Question 194051: What shape does this equation make? (circle, ellipse, hyperbola)
4x^2 + 16x + y^2 - 6y = -21
Click here to see answer by RAY100(1637)

Question 194128This question is from textbook
: how would you find the foci of this ellipse?
x^2+9y^2=1This question is from textbook

Click here to see answer by RAY100(1637)

Question 193914: please Find the radius and center of each circle.

12. (x - 2)^2 + (y - 3)^2 = 16
13. x^2 + (y + 4)^2 = 8
14. (x + 1)^2 + (y - 2)^2 = 12
15. (x - 6)^2 + y^2 = 25
Click here to see answer by solver91311(5106)

Question 194144This question is from textbook
: : how would you find the foci of this ellipse?
x^2+9y^2=1This question is from textbook

Click here to see answer by nerdybill(2453)

Question 194144This question is from textbook
: : how would you find the foci of this ellipse?
x^2+9y^2=1This question is from textbook

Click here to see answer by stanbon(26367)

Question 193913: Write an equation of a parabola with a vertex at the origin.

8. focus (0, 2)
9. focus (4, 0)
10. directrix at y = -8
Click here to see answer by nerdybill(2453)

Question 194164This question is from textbook Algebra and Trigonometry: Structure and Method

: x^2+y^2=25
x-2y=-5This question is from textbook Algebra and Trigonometry: Structure and Method

Click here to see answer by RAY100(1637)

Question 194162This question is from textbook Find Algebra and Trigonometry: Structure and Method (2nd)

: 1. Find the demensions of a rectangle whose perimeter is 50m and whose area is 144 m2.This question is from textbook Find Algebra and Trigonometry: Structure and Method (2nd)

Click here to see answer by checkley77(7172)

Question 194321This question is from textbook Algebra and Trigonometry: Structure and Method (2nd)

: The product of two numbers is 2, and the sum of their squares is 17/2. Find the numbers.This question is from textbook Algebra and Trigonometry: Structure and Method (2nd)

Click here to see answer by edjones(3330)

Question 194631This question is from textbook
: Describe the graph of each equation.
y=1/x
how would you describe this? I dont understand the answer in my book.This question is from textbook

Click here to see answer by RAY100(1637)

Question 194672This question is from textbook
: i keep coming up with the wrong answers for the foci of this equation. please help.
4x^2-y^2+1=0This question is from textbook

Click here to see answer by RAY100(1637)

Question 194702This question is from textbook

: Can you please help me with this problem?
The directions say to find the real solutions of each system.
WE are using either the elimaniton method or the substitution method

This question is from textbook

Click here to see answer by solver91311(5106)

Question 194741: Identify the following conic. That is, circle, parabola, hyperbola or ellipse?
x2 - 4y2 - 4x - 24y = 48
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Question 194756: Is this correct: What is the equation of a parabola with vertex (0,0) and focus (0,4)?

If not where did I go wrong?
Click here to see answer by solver91311(5106)

Question 194756: Is this correct: What is the equation of a parabola with vertex (0,0) and focus (0,4)?

If not where did I go wrong?
Click here to see answer by Edwin McCravy(2938)

Question 194752: The question ask: The graph of y=2x^2+12x+1 is: a parabola whose vertex is ?
Click here to see answer by Alan3354(6153)

Question 194785: i have to write an equation of the line that is tangent to the circle at that point:
x^2+y^2=50; (-7,1)
Click here to see answer by Edwin McCravy(2938)

Question 194785: i have to write an equation of the line that is tangent to the circle at that point:
x^2+y^2=50; (-7,1)
Click here to see answer by josmiceli(3021)

Question 194803: (x+5)2= -(y-9)
Click here to see answer by solver91311(5106)

Question 194808: i have to write the equation of the conic section in standard form and classify the conic section:
9y^2-x^2+2x+54y+62=0
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Question 194969This question is from textbook
: Write an equation of a circle with center at the origin and radius 6.
This is what I have.
x2 x y2 = 6squared.
x2 x y2 = 36This question is from textbook

Click here to see answer by Alan3354(6153)

Question 194957: Identify the following conic. Is it a circle, parabola,hyperbola or eclipse.
x2 - 4y2 - 4x 24y = 48
Click here to see answer by Alan3354(6153)

Question 195009: Can someone please check to see if I sloved the following problem correctly...
Question
3x + 4y + z = 7
2y + z = 3
-5x + 3y + 8z =-31
My Answer
2 = 3 - 2y
3x + 4y + 3 - 2y = 7
3x + 2y = 4
y= 4 - 3x
------
2
-6 + 4y + 3 - 2y =7
2y = 10
y = 5
10 + z = 3
z = -7
-5x + 6 - 9x + 24 - 16y = -31
----
2
-5x + 6 - 9x +24 - (64-48z) = -31
--- ------
2 2
-5x - 9x + 24z = -31-30+32
---
2
-10x -9x + 48x= -58
29x = -58
x= -2
x=-2 y=5 z= -7
Click here to see answer by Alan3354(6153)

Question 195022: Please let me know if this is correct.
Question: Write an equation of the circle with center (-2,-3) and radius 8.
Answer:
(x+2)2 +(y+3)2=64
x2+4x+4+y2+6y+9=64
x2+y2+4x+6y-51=0
Click here to see answer by RAY100(1637)

Question 195023: Please let me know if this is correct.
Question: Given the equation of a circle is x2+y2-10x+4y+13=0, find its centerand its radius.
Answer:
x2-10x+25+y2+4y+4=-3+25+4
(x-5)2 +(y+2)2=16
Center (5,-2)
Radius 6
Click here to see answer by RAY100(1637)

Question 195037: What is the axis of symmetry of the parabola with the equation x-4=(1/4)(y+1)^2?
Click here to see answer by RAY100(1637)

Question 195161This question is from textbook

: Can you please help me with this.
The directions say For each system graph the equations, determine the number of solutions, and estimate each real solution to the nearest half-unit.

This question is from textbook

Click here to see answer by solver91311(5106)

Question 195166This question is from textbook

: Can you please help me with this.
The directions say solve each system algebraically.

This question is from textbook

Click here to see answer by anantha(74)

Question 195131: hyperbola
(x+2)^2
________
25
(x+2)^2
________
25
minus
(x+2)^2
________
25
equals
1
find the center, foci, vertices, length of the transverse and conjugate axis, and the asymtopes

Click here to see answer by Edwin McCravy(2938)

Question 195312This question is from textbook
: please help. I cannot graph the second equation for some reason. is it a parabola? please explain this to me.
By sketching graphs, find the number or real solutions the system has.
x^2 -4y^2=4
6y^2-x=2This question is from textbook

Click here to see answer by Alan3354(6153)

Question 195408: Find the equation for a parbola with the vertex (-2,3), and focus (-5,3).
Click here to see answer by mersha(8)

Question 195478: explain how you can tell whether a parabola opens upward, downward, to the left, or to the right
Click here to see answer by stanbon(26367)

Question 195669: I have a "conic invasion" worksheet. I have to tell by the equation the type of figure and the specific info needed to graph the equation. PLEASE HELP ME! im not asking for the answers or anything (unless youre feeling generous :) just how to get these started im totally lost.
1.y^2+9(x+13)^2=9
2.x^2+y^2=144 for 10>or=y>or=-12
3.x^2+y^2+10x-10y+46=0
4.y+1=0 for 2>or=x>or=-2
5.2x^2-49y+392=0 for y 6.(y^2)/9 + [(x-13)^2]/1=1
7.3x+2y=4 for 2>or=x>or=0
8.2x^2-49y=294 for y 9.15x+7y=175 for 7>or=x>or=-2
10.5x^2-49y=441 for y 11.15x-7y+175=0 for 0>or=x>or=-2
12.3x-2y+4=0 for 0>or=x>or=-2
13.(x-5)^2+(y-5)^2=4
Click here to see answer by jim_thompson5910(13811)

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