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

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

Question 851473: I must find the polar form for an ellipse with focus at (4,0), and vertices at (5,0) and (5,pi)
Click here to see answer by Fombitz(32388)

Question 852288: Find an equation of the ellipse having the given foci and sum of focal radii. (6,0), (6,6); 10
Click here to see answer by ewatrrr(24785)

Question 852319: Find an equation for the hyperbola with foci (−3,−1) and (−3, 9) and asymptotes y = −3x/4 25/4 y = 3x/4 + 25/4 . Write your answer in the form (y-d)^2/a^2 -(x-c)^2/b^2 =1.
Not sure on how to approach this.
Click here to see answer by ewatrrr(24785)

Question 852363: x2−2y=11
3x2+y2=24 I'm suppose to solve the system of equations and need, if I should use elimination or plug in and my teacher said there should be a total of four solutions
Click here to see answer by josgarithmetic(39618)

Question 852474: Put ellipse into standard form vertices:(15, 5), (1,5) foci:(8+ √13,5), (8- √13,5)
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Question 852529: Kurt says that you can take the square root of each side of an equation. Therefore, he says (x+2)^2+(y-5)^2=36 and (x+2)+(y-5)=6 are equivalent equations. Dana says they are NOT. Who is correct? Explain your answer?
Click here to see answer by Alan3354(69443)

Question 852700: please help
find an equation of the locus of points the sum of whose distances from the points (2,3) and (4,1) is 6
Click here to see answer by josgarithmetic(39618)

Question 853682: Where do we encounter conics in everyday life?
Click here to see answer by Vladdroid(91)

Question 853682: Where do we encounter conics in everyday life?
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Question 853690: The directions for the question is "Write an equation for the circle that satisfies each set of conditions."

But the actual question is, "center (8,-9), passes through (21,22)." I have no clue what to do or where to start please help...
Click here to see answer by josgarithmetic(39618)

Question 853710: The question was "An open box with a square base is to be made from a square piece of cardboard 30in. on a side by cutting out a square from each corner and turning up the sides. Express the V of the box as a function of the length x of the side of the square cut from each corner." Now I already know the function is V=x(30-2x)(30-2x) but the next question goes on to ask what is the volume if 6 in. sq. is cut out? Would you just plug 6 in for x??? And also it goes on to another one of these questions asking if 14 in. sq. is cut out what is the volume? Any help would be much appreciated! Thanks!
Click here to see answer by josgarithmetic(39618)

Question 853728: Hi, I'm not necessarily sure what type of equation this would be considered...
Click here to see answer by richard1234(7193)

Question 853884: State the number of solutions for the following quadratic system?
y^2=x^2-7
x^2+y^2=25

Click here to see answer by ewatrrr(24785)

Question 854012: Identify the vertex, focus and directrix of the parabola with the equation x^2-6x-8y+49=0
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Question 854012: Identify the vertex, focus and directrix of the parabola with the equation x^2-6x-8y+49=0
Click here to see answer by lwsshak3(11628)

Question 854020: Completing the square of a ellipse
X^2+Y^2+10x-6y=2

Click here to see answer by ewatrrr(24785)

Question 854020: Completing the square of a ellipse
X^2+Y^2+10x-6y=2

Click here to see answer by Vladdroid(91)

Question 854142: Write an equation of the conic section:
Hyperbola with vertices (2,4) and (8,4) with length of conjugate axis (minor axis) being 4 root 10
Click here to see answer by lwsshak3(11628)

Question 854090: Currently, we are working on horizontal parabolas. I am supposed to find the vertex, focus, and directrix of this formula:
I've been working the equation, and my work currently looks like this:

I don't know what to do with the 23/4. Any help would be appreciated :) Thank you!
Click here to see answer by lwsshak3(11628)

Question 853888: A parabola with focus (0,2) and vertex (0,0)
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Question 853832: Identify the center of the conic section whose equation is x 2 + y 2 + 6 x - 4 y - 12 = 0.
Click here to see answer by lwsshak3(11628)

Question 853652: What is the equation of an ellipse with a center at (0,0) (the origin), a vertex at (5,0) and minor axis 4 units long?
Click here to see answer by lwsshak3(11628)

Question 853419: The ellipse graphed below has its center at (-14, -10), its horizontal axis is of length 12, and its vertical axis is of length 16. What is its equation?
Click here to see answer by lwsshak3(11628)

Question 854409: determine the vertex, directrix, and the focus of (x+4)^2 + 4(y-1), (y-2)^2 = -2(x+3), (x-3)^2 = 8(y-4), (y+1)^2 + -4(x-1), and (x-2)^2 + 4(y-2) . and graph
Click here to see answer by stanbon(75887)

Question 854464: i need to finish completing square to find the coordinates.
x^2+y^2+4x+6y+5=0
Click here to see answer by ewatrrr(24785)

Question 854637: Find the equation of the circle described. Center at (4, -2) and radius 4
Click here to see answer by josgarithmetic(39618)

Question 854644: Find the vertex, focus, and directrix of the parabola. Graph the equation.
y^2 - 2y = 8x - 1
Click here to see answer by lwsshak3(11628)

Question 854643: Find the vertices, foci, and center of the hyperbola. Graph the equation.
4y^2 - x^2 - 2x - 16y + 11 = 0
Click here to see answer by lwsshak3(11628)

Question 854594: I need help "Identifying the vertices and foci of 4x^2-y^2+32x-14y-85=0" Thanks!
Click here to see answer by lwsshak3(11628)

Question 854642: Find the equation of the ellipse described. Focus at (0, -3) and (0, 3) vertices at (0, 7) and (0, -7)
Click here to see answer by KMST(5328)

Question 854745: what is the eccentricity of the curve x^2-16y^2-6x-128y-63=0
Click here to see answer by Fombitz(32388)

Question 855001: x2+6x+4y+5=0 conic name?

Click here to see answer by lwsshak3(11628)

Question 855035: Find the general equation of a circle with centre (-4,-5) and radius 4.1231 units.
Click here to see answer by richwmiller(17219)

Question 855099: A bridge is built in the shape of a semielliptical arch. The bridge has a span of 120 feet and a maximum
height of 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of
10, 30, and 50 feet from the center.

Click here to see answer by lwsshak3(11628)

Question 855249: What is the equation of the tangent to a circle defined by the equation x^2+y^2-25=0 if the coordinates of the point of tangency are (-4,3)?
Click here to see answer by ewatrrr(24785)

Question 855252: Graph the relation defined by the inequality (y^2/4) - (x^2/25)>1. On your graph, indicate the vertices and the foci and draw the asymptotes as dotted lines. Express the domain and the range of this relation in set-builder notation.
Click here to see answer by ewatrrr(24785)

Question 855266: which conic section will y^2-10y-8x-9=0 produce

Click here to see answer by Fombitz(32388)

Question 855612: Write the equation of a parabola with a vertex at (0, 0) and a directrix y = -1.
Click here to see answer by lwsshak3(11628)

Question 855898: is x^2-y^2+8x=16 a circle or hyperbola

Click here to see answer by Alan3354(69443)

Question 855915: write the equation of the parabola with vertex at the origin which satisfies the given condition:
a.axis on the y-axis and passes through (6,-3)
b.focus (0,4/3) and the equation of the directrix is y+4/3=0
c.directrix is x-4=0
d.focus at(0,2)
e. latus rectum is 6 units and the parabola opens to the left
f.focus on the x-axis and passes through (4,3)
ive tried answering but i dont know if i got the ryt answers . can anybody help me ? thank u so much in advance god bless
Click here to see answer by KMST(5328)

Question 856087: write the equation in standard form for the circle with the center (-6,-4) and radius 3sqrt2
Click here to see answer by Fombitz(32388)

Question 856050: The parabolic arch in the concrete bridge in
the figure must have a clearance of 50 feet above the water
and span a distance of 200 feet. Find the equation of the
parabola after inserting a coordinate system with the origin
at the vertex of the parabola and the verticaly axis (point-ing upward) along the axis of the parabola.

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

Question 856223: What is the vertex of the parabola given by the equation ?

So far I have completed the square giving me: . When I factored the equation I got: .
Click here to see answer by lwsshak3(11628)

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