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

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Question 637416: Find the coordinates of the center of the hyperbola and the values of a and b.
9y^2 + 6y = 89 + 8x^2 + 24x
Click here to see answer by ewatrrr(24785)

Question 637735: the equation x^2+y^2=25 represents a______.
Click here to see answer by Alan3354(69443)

Question 637735: the equation x^2+y^2=25 represents a______.
Click here to see answer by DrBeeee(684)

Question 637865: type of graph of the equation x2+y2-8x+6y+24=0
Click here to see answer by reviewermath(1029)

Question 637904: Complete for the given equation as directed. (x-3)2/9+(y-6)2/16=1 Center (, ) Length of major axis = Length of minor axis
Click here to see answer by lwsshak3(11628)

Question 638113: Find the x-intercepts of the parabola with vertex (4,75)and y-intercept(o,27). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.
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Question 638454: x^2+y^3-x^2y^2=64 find x and y intercepts
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Question 638645: Write the equation for the parabola that goes through the point (9,3) and has a vertex of (6,-5).
Thank You
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Question 638489: y^2-4x+6y+29=0
Identify the conic section. It is a parabola, give the vertex.
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Question 638866: for the function f(x)=x^3-27x find the maximum and minimum points
Click here to see answer by Alan3354(69443)

Question 638864: If a ball is thrown directly upward with a velocity of 52 feet per second,its height(in feet) after t seconds is given by y=52t-16t^2. what is the maximum height attained by the ball?
Click here to see answer by josmiceli(19441)

Question 639442: A necklace hanging between two fixed points A and B at the same level. The length of the necklace between the two points is 100cm. The midpoint of the necklace is 8cm below A and B. Assume that the necklace hangs in the form of parabolic curve, find the
equation of the curve.

Click here to see answer by ankor@dixie-net.com(22740)

Question 640065: Please help me make an equation with the given information: Focus point is (0,-1) and y=1
Click here to see answer by lwsshak3(11628)

Question 639804: I am trying to simplify the equation for an ellipse so that it is in the standard form of "x^2/a^2+y^2/b^2=1". The equation is 9x^2+36y^2=4. I have tried to factor the 9 out of the right side of the equation, and then dividing the entire equation by 4. Also, dividing by 4 without factoring had lead me to a dead end. What should I do to get the equation to the standard form?
Click here to see answer by lwsshak3(11628)

Question 639080: Convert this general equation of a hyperbola to standard form.
-4x^2+y^2-8x-12y+36=0
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Question 638959: Find an equation of the parabola passing through the points (0,4), (1,2), and (-1,8)
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Question 640564: Give the following quadratic equation, find at the vertex, the axis of symmetry, the intercepts, the domain, the range, the interval where the function is increasing, the interval where the function is decreasing.
y=6x^2+10x+3
Click here to see answer by lwsshak3(11628)

Question 640850: Factor the following:
32x^2-80x+50
Xa+ya+x+y
6xy-8x+15y-20
30x^2y+35x^2y^2
12a^2-15ab-16a+20b
4x^2+26x-48
Show work
Click here to see answer by jim_thompson5910(35256)

Question 640658: For which values of x do y^2=5x^2-4x and y=2x-3 intersect?
Click here to see answer by lwsshak3(11628)

Question 640618: A gigantic gate to the entrance of a theme park in the shape of a parabola is constructed on a level ground. The horizontal distance between the end points to the gigantic gate is 20 meters. The maximum height of the gigantic gate from the ground is 5 meters. Calculate the height of the gigantic gate at a horizontal distance of 4 meters from one of the end points.
Click here to see answer by lwsshak3(11628)

Question 640957: find an equation of the specified hyperbola with center at the origin.
with given Foci : ( +-10,0) ; Asymptotes: y=+-3/4x
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Question 641055: find an equation of the ellipse with center at the origin.
Given Foci: ( +-5,0); Major axis of length 12
Click here to see answer by lwsshak3(11628)

Question 641939: Can someone show me a step by step explaination of these 2 problems? they are parabola questions, finding the domain range function and so on
1. f(x)=|x-2|
2. x=1-y^2
Click here to see answer by reviewermath(1029)

Question 642119: Could someone explain too me, how to solve this problem, it would be much appreicated.
A parabola with equation y = ax^2 + bx passes through the two points (-1,3) and (4,-2).
(a) Use algebra to find its equation.
Hint: Set up a system of two simultaneous equations.
and could you please explain the steps you go through to get the end result.
Click here to see answer by MathLover1(20850)

Question 643139: Find the distance between the points of intersection of graphs y=x^2+6 and y=7?
Click here to see answer by Alan3354(69443)

Question 643293: What are the vertices for a ellipse (x+2)^2/9+y^2=1
Click here to see answer by lynnlo(4176)

Question 642832: I do not understand hyperbolas, so if someone would be able to help me answer these questions and explain how to do them it would be very much appreciated.
A hyperbola that passes through the point (1, 3) has horizontal asymptote y = -1 and vertical asymptote x = 2.
(a) Find its equation.
Hint: The equation of a hyperbola can be written in the form y = (c/ x - a)+ b

(b) Use your equation to find the x- and y-intercepts.

(c) Draw the graph of your hyperbola clearly labelling its x- and y-intercepts, and asymptotes. You may draw your graph by hand or with computer software.

Click here to see answer by jsmallt9(3758)

Question 643602: i am trying to find the center and radius of X2+Y2+4X-8Y+13=0
So far i think its (x+2)^2+(y-4)^2=-5^2 meaning the center would be (-2,4) and radius -5
Click here to see answer by jsmallt9(3758)

Question 643918: x^2+25y^2=25
Click here to see answer by Fombitz(32388)

Question 644429: How do I solve
X 5 2
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Question 644743: How do I determine the equation of the parabola that has vertex at the origin, axis of symmetry is the x-axis, and passes through the point (-9, 2)?
Click here to see answer by lwsshak3(11628)

Question 644424: find the equation of the hyperbola
*asymptotes y=3/2x and y=-3/2x passing through (4, √117)
Click here to see answer by lwsshak3(11628)

Question 647240: find the focus and directrix
show all of your work
9x^2=4y
Click here to see answer by aaronwiz(69)

Question 647244: find the focus and directirx. show all work
x^2=2y
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Question 646603: Put the equation in standard form for an ellipse.
9x^2-54x+4y^2+8y=-49
Click here to see answer by lwsshak3(11628)

Question 646433: whats the axis of symmetry, the x-intecept, the y-intercept, the vertex, the range,and the domain for: f(x)= -x^2-10x-26
Click here to see answer by lwsshak3(11628)

Question 647763: Graph a parabola: Give the vertex,axis,range and domain. I am lost as to how to set these problems up. It has been 20 years since I was in school. Here is the problem: f(x)=x^2+10x+23
Click here to see answer by lwsshak3(11628)

Question 648538: find the midpoint of the line segment joining the points P1,and P2
P1=(-5,6)
P2= (1,7)
The midpoint is
Click here to see answer by swincher4391(1107)

Question 648862: The vertex form of the equation of a parabola is y=(x+5)^2+49. What is the standard form of the equation?
Click here to see answer by stanbon(75887)

Question 648862: The vertex form of the equation of a parabola is y=(x+5)^2+49. What is the standard form of the equation?
Click here to see answer by swincher4391(1107)

Question 648919: The Standard form of the equation of a parabola is y=x^2-6x+14. What is the vertex form of the equation?
Click here to see answer by ewatrrr(24785)

Question 648925: The vertex form of the equation of a parabola is y=5(x-3)^2-6. What is the standard form of the equation
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Question 648912: The vertex form of the equation of a parabola is y=(x+7)^2 + 13. What is the standard form of the equation
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Question 648879: The vertex form of the equation of a parabola is y=(x-4)^2+22. What is the standard form of the equation?
Click here to see answer by lwsshak3(11628)

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