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

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

Question 1393: how do we do to solve 2q^2+14q=2q-q^2-9 ? i get stuck when trying to factor i am LOST please help
Click here to see answer by usyim88hk(158)

Question 2049: These are the hardest questions, I cannot figure them out. Can you help me?
What is the vertex ot the parabola with the equation (y - 1)2 = 4x?
What is the focus of the parabola with the equation (x - 1)2 + 32= 8y?
Find the center of a circle with the equation x2 + y2 + 2x + 4y - 9 = 0.
Find the radius of a circle with the equation x2 + y2 - 6x - 12y + 36 = 0.
Find the center of an ellipse with the equation 9x2 + 16y2 - 18x + 64y = 71.
Find the foci of an ellipse with the equation 7(x - 2)2 + 3(y - 2)2 = 21.
Find the length of the major and minor axes of an ellipse with the equation 16x2 + 25y2 + 32x - 150y = 159.

Click here to see answer by khwang(438)

Question 2321: How do I solve 5x^2+10xy+5y^2+4x+16=0 ?
Click here to see answer by longjonsilver(2297)

Question 2771: Find the center (h,k) of the circle with the equation x^2+y^2-6y=7.
(h,k)=(_,_)
a. 0,9
b.-3,9
c.0,3
d.9,16
Thanks for your help..........
Click here to see answer by kiru_khandelwal(79)

Question 6588: How do I figure out whether or not the vertex of is a minimum value? Any sort of help with this problem would be appreciated.
Click here to see answer by Earlsdon(6294)

Question 6626: I didn't know what section to put this question under, so I just put it here. How do I solve ?
Click here to see answer by Mike(39)

Question 6628: I did not know what section to put this question under, so I put it on here. How do I simplify
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Question 6861: if f(x)=x2+5 then f (a=b) equals?
Click here to see answer by longjonsilver(2297)

Question 6935: what is the distance between the points (-2sq. root 7, 10) and (4sq. root 7 , 8)?
Click here to see answer by Mike(39)

Question 7324: Dear Sir/Madam,
I am confronted with the following problem:
"Find a polar equation which has the same graph as the
equation ."
I assumed that this question wants you to complete the square, so I went ahead and did that.
1)
2)
Meaning that the center of this circle is at (1, 1) correct? Either way, once you have this information, how do you put this into a polar equation? Or did I approach this question entirely wrong?
Thanks in advance.
Regards,
-Mike
Click here to see answer by ichudov(507)

Question 7409: How would I solve the inequality for the equation x - 1/x^2 < 0? I came up with the answer of (0,1). Would this be the correct answer or show me how to work for the correct answer.
Click here to see answer by prince_abubu(198)

Question 7488: Give the equation for the circle with center C(3, −2) and radius 4.
Click here to see answer by ichudov(507)

Question 8488: Please help me. I have no idea what they want.
5. Put the following in turning point form (y = a(x-h)^2+k) and give the vertex and y-intercept.
a)
c)
Click here to see answer by Earlsdon(6294)

Question 8724: what is the center of a circle with the equation
Click here to see answer by FSAN85(6)

Question 9356: i don't know what the heck they are talking about.... really.
For all numbers x and y, that let x triangle y be defined as x triangle y = x squared + xy + y squared. What is the value of: (3 triangle 1) triangle 1?
what the f'ck!?!?!?!
Click here to see answer by longjonsilver(2297)

Question 9378: Here is the second problem that I was talking about in another submitted question. A friend of mine thinks that the answer that we found to this question is wrong, but if it is than I don't know how to solve it. Could you help us. It is also a elipse problem that reads-
Graph the equation and find the coordinates of the foci.
(25x^2)-(144Y^2)= 3600
I think that there might be a mistake in this problem, but what do I know? That's why I'm asking you.
Click here to see answer by rapaljer(4671)

Question 9377: My friend and I think that the answer to this problem is wrong and we would like a second opinion. There are actually two problems, but I will post it on another seperate page. Its and elipse problem. It reads -
Graph the ellipse and find the foci. Here is the equation - (9x^2)+(4y^2)= 9
Our disagreement is over the coordinates in which the foci are located?
Could you please help us?

Click here to see answer by rapaljer(4671)

Question 10295: This was under the conic section of my book but I am not sure if it is a review or if it is really a conic section problem. It seems really simple but after I looked at it for a while I realized I didn't know what to do.
Find the dimentions of a rectangle that has the area of 10 and a dioganal length of 5.

Click here to see answer by rapaljer(4671)

Question 12488: I am trying to find the vertex and intercepts so that I can graph the parabols I have gotten this far and my mind has gone totally blank.

the equation reads ----- y = x^2 +2x -3
-b/2a = -2/3
when I insert in the equation I get 4/9 + 24/9 - 33/9
which gives me -5/9
now I am lost
Click here to see answer by Earlsdon(6294)

Question 18281: what is the equation of a hyperbola with vertex (6,4) and (6,8) and foci(6,0 and 6,12. i really need an answer for this quickly so any help would be appreciated:-)
Click here to see answer by khwang(438)

Question 18841: Can you please let me know if I am correct.
(x-3)squared (y-2)squared
------------ + ------------- = 1
9 4
is this an ellipse?
Click here to see answer by Earlsdon(6294)

Question 19268: `' What is the slope of a binomial 2x+3''
Click here to see answer by wuwei96815(245)

Question 19400: Im not sure how to solve this problem could you please help me

Click here to see answer by AnlytcPhil(1806)

Question 19407: Could you please help me with this problem
Solve:
Click here to see answer by Earlsdon(6294)

Question 19421: Could you please help me with this problem
Factor:
Click here to see answer by rahman(247)

Question 19436: Im not sure how to do this problem
Graph:
Click here to see answer by Earlsdon(6294)

Question 19423: Could you check if this answer is correct
Factor:
answer {4x+3} {4x-3}
Click here to see answer by Earlsdon(6294)

Question 19441: Im not sure how to solve this problem
Solve:
Click here to see answer by Earlsdon(6294)

Question 19433: Please help me with this problem
Factor :
Click here to see answer by MILIAJEY(4)

Question 19398: Could you please help me solve

Click here to see answer by xcentaur(357)

Question 19443: How do you factor this problem?
Factor:
Click here to see answer by xcentaur(357)

Question 19418: Could you please help me with this problem

Solve:
Click here to see answer by xcentaur(357)

Question 19555: Does this parabola open up, down, left or right?

Click here to see answer by Earlsdon(6294)

Question 19955: Could you please help me with this problem

Given the vertex (3,-2) passing through ( 2,-5) write in form.
Click here to see answer by venugopalramana(3286)

Question 19945: Could you please help me with this problem

Solve
Click here to see answer by longjonsilver(2297)

Question 18069: I am working with prime fractions such as 1/7, 2/7, 3/7......6/7. and my teacher asked me to make a "clock diagram" I don't know what the hec he is talking about...please help.
Click here to see answer by khwang(438)

Question 21482: Could you please help me with this problem
Solve for x:
Click here to see answer by venugopalramana(3286)

Question 21481: Could you please help me with this problem:
Solve for x:
Click here to see answer by venugopalramana(3286)

Question 21481: Could you please help me with this problem:
Solve for x:
Click here to see answer by Earlsdon(6294)

Question 21661: I have an ellipse question, and I either have drawn a blank or there's a mistake somewhere. I know that I'm supposed to factor out where I can, but I just can't seem to make it work. I need to find the foci, vertex and center using the equation: 9x^2 + y^2 + 18x + 4y + 4 = 0. Can anyone help me????
Click here to see answer by venugopalramana(3286)

Question 23046: I am given a problem and I must use a t-chart and pick any number for x, and solving it for y. Then I must graph it. I am given the problem y=3xsquared. I have chosen to use the numbers (-2,-1,0,1,2) for X. Can you help me solve for y and graph it. I am unsure if you multiply 3 time x and then square it, or square x and then multiply that times 3
Click here to see answer by rapaljer(4671)

Question 22830: How do do Power theorem for exponents?

Click here to see answer by AnlytcPhil(1806)

Question 22463: Please help me solve this equation: . I can not find the vertex, focus, or the directrix.
Click here to see answer by venugopalramana(3286)

Question 22091: classify the conic section and write each equation in standard form.
x^2-8x+4y+16=0, 3x^2+3y^2-30x+59=0, x^2+2y^2-8x+7=0, 4x^2-y^2+16x+6y-3=0, 3x^2=y^2-4y+3=0, x^2+y^2-2x+1oy+1=0
Click here to see answer by venugopalramana(3286)

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