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

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

Question 446169: A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is
........
Click here to see answer by robertb(4012)

Question 445994: How do you find the intercepts for an ellipse?
Click here to see answer by robertb(4012)

Question 446237: In the equation of a parabola y = (x-5)^2 + 4, I understand the vertex is (5,4). I don't understand why we take the opposite of what is in the parenthesis with the x. It seems to me we would translate the vertex of the graph left 5 units, not right 5 units. Can someone please help me understand this? Thanks.

Click here to see answer by stanbon(57290)

Question 446350: Graph the following ellipses:
1) 4x^2+36(y+3)^2=144
2) 4x^2+9(y+5)^2=36
Click here to see answer by Alan3354(30993)

Question 446589: What is the "equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0"
Click here to see answer by lwsshak3(6490)

Question 446616: Given that the equation of a parabola is y^2+4y-8x+20=0 find the equation in the form (y-k)^2=4a(x-h).
Click here to see answer by AnlytcPhil(1276)

Question 446676: how do i factor 5x^2+12x-15

Click here to see answer by chriswen(106)

Question 446813: Hi! My question is on the midpoint formula which is labeled under circles and parabolas in my algebra 2 book, so I'm assuming I'm in the right category. The worksheet gives the points P(3,-5) and Q(6,1), and then says to find the point X such that P is the midpoint of line QX. The way its worded tells me I can't go about this the normal way I do with midpoint formula problems. I don't understand what numbers to plug in where. Any help would be greatly appreciated! Thanks so much!
Click here to see answer by mananth(12270)

Question 447019: Hi, I'm not sure which section to be asking these questions under, but i would really appreciate the help! :)
Find A and B such that: 2x/(2x-3)(x+5)=A/2x-3+B/x+5
Click here to see answer by stanbon(57290)

Question 446766: An amusement park has been charging $12 per person for admission and averaging 1000 patrons per day. the directors of the park are considering a $2 increase in the price for next season . They have calculated that for each $2 in increase they will probably lose 100 patrons per day. What should be the ideal admission fee for the greatest income on an average day . Write an equation to model the situation and draw a graph of the situation to justify your answer.
So I got the ideal price to be $16
The equation is what i'm not sure of , I got (x-16)^2= p(y-12800) Not sure on how to find P , Also not sure if the equation is correct
Click here to see answer by ankor@dixie-net.com(15646)

Question 447021: Solve the system of equations: y-3x-2=0
x^2+y^2=4
Click here to see answer by jorel1380(2518)

Question 447092: How do you put x^2+y^2-6x-8y+24=0 in standard form for a circle.
Click here to see answer by poliphob3.14(115)

Question 447150: I'm really stuck on solving this partial fraction:
3/x(x+17)(x^2+13)= A/x+B/x+17+Cx+D/x^2+13

Click here to see answer by stanbon(57290)

Question 446870: The graph of a parabola of the form y = x2 + bx + c crosses the
y-axis at –36 and the x-axis at x = 3. At what other point does
the graph cross the x-axis?
A. x = –12
B. x = –9
C. x = 9
D. x = 12
The answer is A but im not sure how to arrive at that??????
Click here to see answer by scott8148(6628)

Question 447383: What conic does the equation y=x^2 represent?
Click here to see answer by richard1234(5390)

Question 447412: Solve
2x^2-y^2=1
x+y=12
Please explain how to solve this in any form.
Click here to see answer by mananth(12270)

Question 447145: (This is all one problem)--Match each equation with the type of conic section that it is:
3x^2+4y-6x+16y+7=0
(x-1)^2/9-(y-2)^2/16=1
4x^2+4y^2-10=0
The choices are circle, ellipse, or hyperbola
Click here to see answer by Alan3354(30993)

Question 447535: which conic section is formed by the followin equation
4y^2=-4x^2+36
a. parabula
b. circle
c. ellipse
d. hyperbola
Click here to see answer by solver91311(16877)

Question 447701: x^2+y^2+2x+2y+1=0
Click here to see answer by MathLover1(6625)

Question 447733: State the value of A and the value of C and whether the graph of the equation is a circle, ellipse, hyperbola, or parabola.
7x^2 - 10x + 14y = -7y^2 + 20
Click here to see answer by solver91311(16877)

Question 447752: i need help with solving rational equations. how do you solve
Click here to see answer by solver91311(16877)

Question 447148: Hi, i'm really stuck on this problem for partial fractions and would really appreciate the help!
Find the partial fraction decomposition of the following rational expression:
5x^2+x+5/x^3+x^2+2x+2
Thanks!
Click here to see answer by ankor@dixie-net.com(15646)

Question 447854: How do you know the difference between a circle or an ellipse?
for an example..
7x^2 + 7y^2 - 10x + 14y - 20 = 0
is this a circle or an ellipse?
i know its not a parabola, neither A nor C is zero, and A and C have the same sign, which its not an hyperbola.
Click here to see answer by stanbon(57290)

Question 447853: If the following equation is: (y^2/4)-(x^2/49)=1 would the ellipse be in the vertical direction?
Click here to see answer by robertb(4012)

Question 448178: On the axis provided, graph the given equation.
(x-2)^2+(y-8)^2=4
Click here to see answer by lwsshak3(6490)

Question 448262: The graph of the equation below is a circle. What is the length of the radius of the circle?
(x - 6)2 + (y + 5)2 = 152
Click here to see answer by stanbon(57290)

Question 448177: Tell which type of conic section is represented by the given general from equations. Then, use the process of completing the square to write each of the conic section in its respective working form.
-x^2+16y^2-4x-32y-4=0
Click here to see answer by lwsshak3(6490)

Question 448264: The graph of the equation below is a circle. What is the length of the radius of the circle?(x - 6)2 + (y + 5)2 = 152
Click here to see answer by richard1234(5390)

Question 448261: The graph of x^2 + y^2 - 8x + 4y = 29 is what kind of graph??
Click here to see answer by lwsshak3(6490)

Question 447769: How do you know the difference if a a question is whether a circle or an ellipse?
for an example..
7x^2 + 7y^2 - 10x + 14y - 20 = 0
i know that when its a parabola, neither A nor C is zero, and A and C have the same sign, which its not an hyperbola.
Click here to see answer by lwsshak3(6490)

Question 448306: need to find the center and forci and the lengths of major axes and minor axes for the ellipse and graph it
x^2 + 25y^2 -8x + 100y+91=0
Show me how to do it dont just give me the answer please:)
Click here to see answer by lwsshak3(6490)

Question 447364: Identify the focus and directrix of the parabol:
1.) 3x^2= -y
Click here to see answer by lwsshak3(6490)

Question 448310: endpoints of major axis at (2,12) and (2,-4, endpoints of minor axis at (4,4)(0,4)
How do you write the equation?
Click here to see answer by lwsshak3(6490)

Question 448330: What is the y-coordinate of the vertex of the parabola y = -1.5(x - 2)2 + 7
Click here to see answer by lwsshak3(6490)

Question 448266: What is the length of the radius of the circle? (x - 6)2 + (y + 5)2 = 152 please help me
Click here to see answer by lwsshak3(6490)

Question 448525: Find the X-intercepts of a parabola with the vertex at (-3,16) and the Y-intercept at (0,-20)
Click here to see answer by ewatrrr(10682)

Question 448176: Tell which type of conic section is represented by the given general from equations. Then, use the process of completing the square to write each of the conic section in its respective working form.
9x^2+25y^2+18x-200y+184=0
Click here to see answer by ewatrrr(10682)

Question 448174: Tell which type of conic section is represented by the given general from equations. Then, use the process of completing the square to write each of the conic section in its respecti
ve working form.
x^2+y^2-7x+6y+1=0
Click here to see answer by ewatrrr(10682)

Question 448544: what is the center of this ellipse? x2+4y2+12x-32y+96=0
Click here to see answer by ewatrrr(10682)

Question 448700: Find the center and radius of the circle:
x^2+y^2-6x+2y+6=0
Click here to see answer by stanbon(57290)

Question 448692: I am currently learning about conic sections. would the equation 5y^2=10-4x^2 be an ellipse or hyperbola?

Click here to see answer by Alan3354(30993)

Question 448729: I am currently learning about conic sections. What would the graph of 3x^2=8-4y^2-8y and 5y^2=10-4x^2 be? circle, ellipse, hyperbola, parabola
Click here to see answer by stanbon(57290)

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