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

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Question 726808: The center is the origin, 1/2=c/a, and the length of the horizontal semi-major axis is 10 units.
Write the equation of the ellipse that meets each set of conditions.
Click here to see answer by lwsshak3(11628)

Question 726805: The semi-major axis has length 2root13 units, and the foci are at (-1,1) and (-1,-5).
Write the equation of the ellipse that meets each set of conditions.
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Question 726869: The equation 5x^2+4y^2=180 is a ellipse but why?

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Question 726869: The equation 5x^2+4y^2=180 is a ellipse but why?

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Question 726870: The ellipse is tangent to the x- and y-axes and has its center at (4,-7)
Write the equation of the ellipse.
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Question 726873: The ellipse has its center at the origin, a=2, and e=3/4.
Write the equation of the ellipse.
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Question 726038: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
vertex at (�3, 0) and co-vertex at (0, 2)

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Question 727319: Change the equation below to h,k form. Find the center and the radius of the circle. Then, Graph the circle.
X^2+y^2-10x+2y+22=0
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Question 727427: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
vertex at (�5, 0) and co-vertex at (0, 4)
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Question 727678: What type of conic section is: 49(x+1)^2+3y^2=20
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Question 728152: the equation for a circle is x^2+y^2=169 what is the radius
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Question 728237: what is 2 plus 2
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Question 728237: what is 2 plus 2
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Question 729043: find the center and radius of a circle x^2+y^2-8x+2y+11=0
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Question 729397: Write an equation of an ellipse whose center is (3, -2), a vertex is at (9, -2), and a focus is at (7, -2). Find the area of the ellipse.
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Question 729476: determine the center and asymptotes of this hyperbola equation y=x+1/2x-4

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Question 729528: what is the center, verticies, foci and eccentricity of 3x^2 +2y+18x-2y-8=0
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Question 730118: converting 4x^2 +32x+2y+10=0 into standard form

Click here to see answer by josgarithmetic(39618)

Question 730215: Classify these conic sections and write its equation in standard form.
1.) 9x^2+4y^2-144=0
2.)-x^2+2x+y-1=0
3.)2x^2+3y^2+4x+12y-46=0
4.)3y^2+x-3=0
5.)4x^2+9y^2+8x+18y-131=0
Click here to see answer by lynnlo(4176)

Question 730280: x^2+2y^2=12 and 3x^2-y^2=8
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Question 730511: which conic section is 3(x+5)^2+3y-15=0
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Question 730251: An ellipse has a center (3, 2) and foci are located at (0, 2) and (6, 2). The length of the major axis is 12 units. Fill in the missing denominators for the equation of the ellipse. (x-3)^2/? + (y-2)^2/?=1.
Click here to see answer by lwsshak3(11628)

Question 730533: what is the axis of symmetry for the quadratic equation: h(x)= 1-1/2t-t^2
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Question 729989: y=1/4xsquared Find the vertex, focus, and directrix. Steps to graph the parabola.
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Question 730578: classify conic sections x^2 - 14x - 9y + 22 = 0 write standard form
Click here to see answer by josgarithmetic(39618)

Question 730765: how do I solve the following equation in general form?
4x-y^2=2y+13
Click here to see answer by lynnlo(4176)

Question 730765: how do I solve the following equation in general form?
4x-y^2=2y+13
Click here to see answer by josgarithmetic(39618)

Question 730844: the parabola's directrix is parallel to the x-axis, and the parabola passes through points at (1,1) (0,9) and (2,1).
Write the equation of the parabola.
Click here to see answer by josgarithmetic(39618)

Question 730913: to solve 4x^2+12x=3 by completing the square, you can write an equivalent equation of the form (x+2/3)=k Find x and k
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Question 730902: what is the equation of a circle with center (2,0) and radius 2 units?

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Question 730986: What is the equation of the ellipse in standard form?
9x^2+16y^2-18x-64y-71=0
Click here to see answer by lwsshak3(11628)

Question 730837: The focus is at (-1,7), the length from the focus to the vertex is 2 units, and the function has a minimum.
Write the equation of the parabola.
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Question 731589: identify the focus and directrix of the equation:

|a|=1/4c
|-1/16|=1/4c
|1/16|=1/4c
16=4c
16/4=c
c=4
(-4,0) is the focus? and 4 is the directrix?

Click here to see answer by MathLover1(20850)

Question 731734: Vertices at (-2,-3) and (8,-3), one end of the minor axis at (3,-7).
Click here to see answer by lwsshak3(11628)

Question 731952: Ellipse Using Standard Form
Vertices at (0,-1) and (12,-1), a focus at (6+√11-11).
Click here to see answer by josgarithmetic(39618)

Question 731956: Ellipse Using Standard Form
Vertices at (0,-1) and (12-1), a focus at (6+√11,-11).
Click here to see answer by josgarithmetic(39618)

Question 729180: I am unsure of how to do the following:
"An ellipse with one vertex (8,7) and foci at (6,7) and (0,7)"
and
"An ellipse with center (0,2) focus (0,8) whose minor axis is 18 units long"
Click here to see answer by josgarithmetic(39618)

Question 732109: find the standard equation for the parabola and graph it
focus =-1,3 vertex =-1,2

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Question 732109: find the standard equation for the parabola and graph it
focus =-1,3 vertex =-1,2

Click here to see answer by MathLover1(20850)

Question 732127: 6/m-5-2/m+5=8/m2-25
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Question 728768: Can you please help me put Vertices (-6,3), (-6,-23) and Foci (-6,-5), (-6,-15) into a standard form equation of an ellipse?
Click here to see answer by josgarithmetic(39618)

Question 731955: Ellipse Using Standard Form
Center at (-4,5), major axis parallel OY, eccentricity √21/5 and distance between directrices 50√21/21.
Click here to see answer by lynnlo(4176)

Question 731954: Ellipse Using Standard Form
Center at (1,5), major axis parallel OX,length of latus rectum 9/4 and distance between foci 2√55.
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Question 731949: This question has two parts. Each part refers to the hyperbola represented by: -2x^2+y^2+4x+6y=-3.
1. Write the equation of the asymptotes.
a. y+3=+-2(x-1)
b. y+3=+-(1/2)(x-1)
c. y+3=+-sqrt2(x-1)
d. y+3=+-((sqrt2)/2)(x-1)
2. Find the coordinates of the foci.
a. (1+-sqrt2, -3)
b. (1+-sqrt6, -3)
c. (1, -3+-sqrt2)
d. (1, -3+-sqrt6)
Thank you for your help!!! This is very confusing to me.
Click here to see answer by lynnlo(4176)

Question 732192: the given point is pn the graph of the given equation. use symmetry to find at least one more point on the graph.

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