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

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Question 769525: Write an equation for the hyperbola that satisfies the given set of conditions.
vertices (16,0) and (-16,0), conjugate axis of length 10 units

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Question 769193: find the x-intercept of the parabola with vertex(-1,-17) and y intercept (0,-13). write your answer in this form (x1,y1) (x2,y2)
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Question 770214: y^2-8x-6y+1=0
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Question 769177: What is the equation of the ellipse with foci (2, 0), (-2, 0) and vertices (7, 0), (-7, 0)

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Question 769171: the vertex of this parabola is at 5,5 the x value is 6 and the y is -1. WHat is the coefficient of the squared expression in the parabola's equation?
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Question 768805: An ellipse is defined as (x-h)^2/a^2+(y-k)^2/9=1. The ellipse has vertices at (4,-1)and (0,-1).
Determine the values of h, k, and a.
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Question 770374: The length of the major axis of the ellipse below is 11, and the length of the red line segment is 4. How long is the blue line segment?

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Question 770410: (x+5)^2�64+(y-1)^2�100=1
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Question 770419: 1.Find the equation of a hyperbola which has the foci of the ellipse 4x^2+9y^2=36 as vertices and the vertices of the ellipse as foci. sktch the graph.
2.Two memebers of the family of circles have radii all equal to 2 units, and are centred at (-2,2, and (2,-2)respectively.Find a memeber of this family that passes through the point (2,2. Sketch the graph.
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Question 770438: Find a quadratic function whose graph has a maximum value at 25 and x-intercepts -3 and 2.
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Question 770449: Find the equation of the hyperbola whose centre is (1, 0), one focus is (6, 0) and transverse axis 6.

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Question 770565: both red and blue line segments stretch from the centre of the circle to a point on the circle.The of blue line segment is .how long is the red line segment?
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Question 770829: 8x^2 + 48x + 8y^2 - 144y + 719 = 0
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Question 770827: y^2 - 8y + 8x + 48 = 0 Identify type of graph.
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Question 770902: find the equation of tangent lines as directed
1. To the ellipse x^2+4y^2=8 parallel to the line x+2y=6
this was a question given by our Differential calculus instructor can anyone help????
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Question 771057: Find the outlier in the data set.

0.9, 6.1, 7.3, 5.3, 6.5, 6, 5.5, 9.5

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Question 771118: Find the Standard Form of the equation of the ellipse with the given characteristics and center at the origin.
Characteristics: Foci: (plus & minus 5, 0) , Major axis of length 12
HELP?!
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Question 770777: What is the radius of the circle between and tangent to the circles with these equations:
(x+1)^2 + (y-7)^2=1
(x-6)^2 + (y-1)^2=1
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Question 771257: I have 20 feet of pipe that I need to bend to fit into a base that is 5 feet wide. How high will the resulting arch be?
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Question 772294: 1.Find the equation of the ciecle inscribed in a triangle, if the triangle has its sides on the line; 2x + y - 9 = 0, -2x + y - 1 = 0, and -x + 2y + 7 = 0. Draw the figure.
2.identify the points of the ellipse 4x^2 + 5y^2 - 8x + 20y = -24.
3. Find the vertices, foci, eccentricity, and lenght of the latus rectum of the ellipse x^2 + 16y^2 = 16.
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Question 773279: An average school bus holds 45 people. SKETCH A GRAPH showing the relationship between the number of students who need bus transportation and the number of buses required. Be sure to label the axes.

How do i sketch a graph if i don't know how many people need bus transportation?! help please!
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Question 772845: what is the focus of the conic section 12x+y^2-14y+1=0
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Question 774009: For the function f(x) = 3x+2, find x such that f(x) = 14.
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Question 773987: 16x2 + 64y - 256 = 16y2 - 64x in standard form?!?!?!
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Question 774138: is there a website just like this which teaches differential calculus plsss i need it thanks
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Question 774474: Write the equation in standard form for the hyperbola with center (5, 0), co-vertex (6, 0), and focus (5, radical 37)
How do you work backwards on this??
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Question 774343: Find the slope of the line passing through the point (-4,-1) and the vertex of the parabola given by f(x)=x^2+2
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Question 773821: how to graph and identify the focus, directrix, and axis of symmetry of x=-y^2

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Question 775143: I need help on understanding parabolas and how to solve them.
The vertex of this parabola is at (-2,-3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared expression in the parabola's equation?
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Question 776000: find the intercepts, zeros, axis of symmetry and vertex of the graph of y=x^2+3x-10. graph the parabola.
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Question 776534: Consider the basic upward-opening parabola y=x^2.
(1) In this parabola, as the x-value increases towards positive infinity, does the y-value also increase towards infinity? If so, does it increase faster or slower than the x-value?
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Question 774982: find an equetion of parabola with the axis is parallel to y-axis & the parabola passes through (-4,21),(-2,11),(4,5)
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Question 777409: Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).

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Question 777416: Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).

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Question 777415: Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.

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Question 778229: Hi, could you explain to me what exactly the latus rectum is for? and the formula to find it? Thank you!
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Question 778778: what is the length of the latus rectum of the parabola x^2-6x-2y-1=0?

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Question 779326: Given the endpoints of a diameter of a circle at (4,1) and (-4,-4), find the center and radius of the circle. Write its equation in standard form.
Thanks in advance for your help.
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Question 780261: The vertex of the parabola below is at the point (-3, -5). Which of the equations below could be the one for this parabola?
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Question 782046: Complete the square to re-write the equation into standard form.
5x^2+20x+2y^2-28y=2
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Question 783345: what is the parabola of 4y2+4x+4y-3=0 and its solution.

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Question 783363: what is the parabola of 2x^2-12x+3y+21=0
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Question 783360: What is the vertex, focus and directrix of the following:
4y^2+4x+4y-3=0
2x^2-12X+3y+21=0
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