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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 399214: What is the equation of the ellipse with foci (0, 6), (0, -6) and co-vertices (2, 0), (-2, 0)?
Click here to see answer by robertb(5830)

Question 399871: problem: write the eqation in standard form for each parabola.
vertex (0,0), Focus (-8,0)
I know the proper equation. I just do not know which. the one with y= or x=. also when given the foci how do you get the directix?
Click here to see answer by robertb(5830)

Question 401170: Find the foci for the hyperbola, using this equation (x+2)^2/81 - (y+4)^2/4 = 1.It tells me to put it in this form (x1,y1),(x2,y2).Please help I don't know how to solve this.
Click here to see answer by ewatrrr(24785)

Question 401080: Find the vertices of the hyperbola defined by this equation: (y+8)^2/36 - (x -7)^2/1=1.It tells me to put it in this form (x1,y1),(x2,y2).I have no idea How to do this,please help.I'd appreciate it :)
Click here to see answer by lwsshak3(11628)

Question 400901: graph the equation. identify the focus and directrix of the parabola, y^2=-4x
Click here to see answer by lwsshak3(11628)

Question 401560: How do you graph(-16t^2+114t)+2.6
Click here to see answer by MathLover1(20850)

Question 399407: A hyperbola has vertices of (0,9)and (-9,0).It's foci is located at (0,√(90)) and (0,-√(90)) Identify this equation.Please help I can't remember how to do this.Thanks in advance.
Click here to see answer by lwsshak3(11628)

Question 398542: find the vertex, and the line of symmetry, the maximum or minimum value of the quadratic function. then graph.
f(x)-2x^2+2x+8
x-vertex=
y-vetex=
line of symmetry=
max/min value=
is the value min or max=
Click here to see answer by lwsshak3(11628)

Question 398068: Hi! Im studying for an exam, im having a problem with this problem, i tried to input the values in the formula(x^2=4py) but cant get the answer.
The problem is:
the distance between two towers is 150m, the points of support of the cable on the towers are 22m above the roadway, and the lowest point on the cable is 7m above the roadway. Find the vertical distance to the cable from a point in the roadway 15m from the foot of a tower.
Can you show me how to get the ordinate of the focal parameter being asked? I tried for almost an hour but still cant get the correct answer. the answer stated in the book is 16.6m
THAN YOU VERY MUCH!!!
Click here to see answer by lwsshak3(11628)

Question 385202: if y^2+16y-4x+4=0 then what is the equation of the directrix?
Click here to see answer by lwsshak3(11628)

Question 401658: find the equation of the parabola With the vertex on the y axis, axis of symmetry parallel to the x axis, and passes through (2, 2), (8,-1)
Click here to see answer by stanbon(75887)

Question 401886: it might be calculus, but there problem is this...
Find the Radius of this circle..
x^2 -10x +y^2 + 8y = 28
Click here to see answer by Edwin McCravy(20056)

Question 401817: How would I sketh the graph of this equation?
x^2+y^2+4x-10y=21
I started of by doing this
x^2+y^2+4x-10y=21
x^2+4x+4+y^2-10y-25=21+4-25
and got
(x+2)^2+(y-5)^2=0
by this I see that the center is (-2,5)
and the radius is 0.
How would I sketch this and is what I did right?
Click here to see answer by lwsshak3(11628)

Question 392130: Hello tutor,
This one question on my online homework assignment has been puzzling me for a while.
A circle is given centered at (0,0)with a radius of 2.
A line cuts through the center of the circle (slope of line unknown) but the line makes an angle of pi/3 with the x axis in the fourth quadrant.
This line continues and cuts through point Q (coordinates unknown) of the circle in the fourth quadrant.
------------------------------------------------------------------------------
Another line forms a tangent to the circle at point Q and is perpendicular to the original line.
this second line ( which is tangent to the circle and perpendicular to the original line) continues and crosses the x axis at some point P (coordinates unknown)
* note that both lines share a point Q which lies on the circle.
We are asked to ultimately find the coordinates of point P (x , 0)

--------------------------------------------------------------------------------
there is an order of steps we have to perform.
a)Find the coordinates of the point Q (x,y)
b)Knowing two points on the original line, namely (0,0) and Q,compute the slope of the dotted line
c)Knowing the slope of the first line, Compute the slope of the second line (which is perpendicular to the first line)
d)We now know the point Q on the second line and the slope of the second line, so we find the equation of the line in the form
y=mx+b
e) therefor the coordinates of point P are (x,0) (Find x)
Click here to see answer by lwsshak3(11628)

Question 393024: How do you find the extent of the graph of a hyperbola in both forms? (x^2/a^2 - y^2/b^2 = 1, and y^2/a^2 - x^2/b^2 = 1)
Click here to see answer by lwsshak3(11628)

Question 403321: how do you find the vertices and foci of an ellipse?
Click here to see answer by solver91311(24713)

Question 403947: write the equation in standard form. name the center, the length of the minor and major axis, and direction. 5x^2+9y^2=720
Click here to see answer by Edwin McCravy(20056)

Question 404479: Graph the parabola
x^2+8x-5y+21=0
I need help with the points. Thanks
Click here to see answer by stanbon(75887)

Question 405514: (x-2)^2/36+(y-1)^2/36=1 what does the graph look like
Click here to see answer by Alan3354(69443)

Question 405607: Find the center and radius of the circle x^2 + y^2 = 49.
I'm not sure but I have used the formula (x-h)^2 + (y-k)^2 = sq. root of 49
and com up with h = 0, k = 0 and r = 7. To graph would find 0,0 move 7 units in all directions. Would this be correct?
Click here to see answer by ewatrrr(24785)

Question 405750: please factor 9x^2-36x+324
Click here to see answer by scott8148(6628)

Question 406437: how to put : 5x^2+9y^2+1 into standard form for ellipse
Click here to see answer by lwsshak3(11628)

Question 406287: Find the vertex, focus, and directrix without completing the square, and deteremine opens upward or downward.
y=-1/2x sq -3x +2
I've determined it will open downward, but am confused on how to get the rest of the answers....
Click here to see answer by lwsshak3(11628)

Question 406971: My problem says: find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse with the given equation. Then graph the ellipse.
(x-8) squared over 144 + (y-2) squared over 81 =1
I understand the center is (8,2) but I do not understand how to find the foci and the endpoints of the major and minor axes. Thank you so much, I appreciate it.
Click here to see answer by lwsshak3(11628)

Question 407139: What is the equation for a hyperbola with vertices of (0, 7) and (0, -7), and a conjugate axis with the length of 18 units?
Click here to see answer by Edwin McCravy(20056)

Question 403685: find the equation of a parabola given 2 points on the parabola, (5,9)&(1,9), and the directrix d:y=-1 .
Click here to see answer by lwsshak3(11628)

Question 407351: For homework I have to write in standard form, identify vertex, axis of symmetry, focus, and direction of opening, then graph also and I am lost! My problem is:

y=-x(squared)-12x=20
Please help me. Thank you Josie
Click here to see answer by stanbon(75887)

Question 407387: Solve the quadratic system.
Solve algebraically: 4x^2-9y^2=108 and xy=-12
Click here to see answer by jim_thompson5910(35256)

Question 407381: Solve quadratic system. Solve graphically: y=x^2+1 and x+2y=5
Click here to see answer by MathLover1(20850)

Question 407754: classify the conic
x^2-4y^2+3x-26y-30=0
Click here to see answer by lwsshak3(11628)

Question 407936: Find the fourth term in the expansion of (3x-y^2)^6
Click here to see answer by Alan3354(69443)

Question 407935: Expand and simplify (x^2-2)^4
Click here to see answer by MathLover1(20850)

Question 407928: In how many ways can three cards be selected from a 52-card deck if the selected cards are not returned to the deck?
Click here to see answer by Alan3354(69443)

Question 407514: Find the center, vertices, foci and axis of semmetry, then graph the equation.
8x^2-3y^2=48
thank you...
Click here to see answer by lwsshak3(11628)

Question 407929: How many positive integers less than 25 can be formed by using the digits 1,2,and 3?
Click here to see answer by Edwin McCravy(20056)

Question 407470: Write an equation that satifies set of conditions listed below.
A hyperbola with foci (0,-sqrt(6))and (0,sqrt(6))and asymptotes y=(sqrt(2)/2) and y=(-sqrt(2)/2)
Click here to see answer by lwsshak3(11628)

Question 405950: graph the ellipse and its foci x^2/9 + y^2/4=1
Click here to see answer by lwsshak3(11628)

Question 405072: put in standard form, state the type of graph it will produce, and center,key point, and/or radius for the following:
X^2 + (y-2)^2=7
x^2+6x+4y^2+8y=-13 ( for this one i know one must complete the square, but the 4
in front of the y throws me off on the equation into standard form)
xy=7 ( im pretty sure that this equation doesn't make a graph, but im not confident about my answer on noting)

Click here to see answer by lwsshak3(11628)

Question 403302: Find the foci of this hyperbola by using the equation (x+9)^2/1 - (x+5)^2/49 = 1.Can someone please help me.I can seem to figure it out.
Click here to see answer by lwsshak3(11628)

Question 407934: Find the sum of the infinite geometric series 64+48+36+27+...If it has one.
Click here to see answer by richard1234(7193)

Question 408680: What is the vertex, axis of symmetry, focus, and directrix of the parabola y^2=-8x
Click here to see answer by MathLover1(20850)

Question 408611: Will you work 2x=-3x^2 algebraically for me? I know the answers are x=0,2/3
Click here to see answer by richard1234(7193)

Question 408938: The graph of the equation below is a circle. What is the length of the radius of the circle?
(x+5)^2+(y+7)^2=21^2
Click here to see answer by MathLover1(20850)

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