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

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Question 1013739: Hello my problem says, let f be the quadratic function given by f(x)=-1/2kx^2+12, where k>0. For what value of k are the roots of the graph -6 and 6? It also says what is f(0)? THanks so much for the help!!
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Question 1013773: write the equation of a parabola that passes through (1,-1) and has a vertex at (-3,3)
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Question 1013853: Find the equation of the circle if the circle is tangent to the line 3x+y+2=0 at (-1,1) and it passes through the point (3,5).
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Question 1013803: What ARE the foci of the hyperbola with the equation y^2/12 - x^2/5=1?
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Question 1014205: The circle is tangent to the line 3x -4y =34 at point (10,-1) and also tangent to the line 4x+3y=12 at point (3,0). Find the equation of the circle in general form
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Question 1014225: Find the equation of the circle in general form, tangent to 5-y=3 at (2,7) and its center is on the line x+2y=19
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Question 1014468: What is the solution to this equation (x+3)^2+(y-2)^2=9
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Question 1014989: Convert the equation of the ellipse 5x2 + 6y 2 −10x − 25 = 0 to standard form
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Question 1015227: Is , the conic section is a hyperbola; a circle
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Question 1015227: Is , the conic section is a hyperbola; a circle
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Question 1015435: 5x^+6xy+5y^-4x+4y-4=0
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Question 1015551: please help me graph 3x^2 + 4y^2 -6x -24y +39=0
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Question 1015551: please help me graph 3x^2 + 4y^2 -6x -24y +39=0
Click here to see answer by ikleyn(52798)

Question 1015625: What's the standard form of the equation of the parabola at
1.) Vertex at (0, 5), dirextrix is the line x=-2
2.) Vertex at (6,6), directrix is the line y=7
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Question 1016128: State the position of each line with respect to the ellipse 9x^2+25y^2 =225
a.)y=3x-2
b.)y=-x+6
c.)3x-4y+1=0
please help. and thank you in advance
Click here to see answer by Fombitz(32388)

Question 1016146: find the point of intersection of each line to the ellipse
a.) y=2x+2
b.) y=-2x-9
c.) 2x+5y+3=0
please show me how you'll gonna do it, for future reference and thank you in advance
Click here to see answer by Alan3354(69443)

Question 1016144: find the point of intersection of each line to the ellipse 9x^2 + 25y^2 = 225.
a.)y= 3x-2
b.)y= -x+6
c.)3x-4y+1=0
please tell me how to find the point of intersection of each line to the ellipse. thank you in advance
Click here to see answer by Alan3354(69443)

Question 1016129: state the position of each lie with respect to the ellipse x^2/9 + y^2/36 = 1
a.)y=2x+2
b.)y=-2x-9
c.)2x+5y+3=0

its differenet from the first one that i already asked. im not really good at math please help. and thank you again in advance
Click here to see answer by ikleyn(52798)

Question 1016117: Show that the locus of the poles of tangents to the circle with respect to the circle is
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Question 1016115: Show that the poles of tangents of the circle with respect to the circle lie on the curve
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Question 1016114: Show that a pair of straight lines meet the co ordinate axes in concyclic points. Also find the equation of circle through those concyclic points.
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Question 1016365: The line intersects the ellipse at two different points. find k.

please show me how to do it and please give the answer. thank you so much
Click here to see answer by robertb(5830)

Question 1016364: The ellipse is given. Find the equations of the lines tangent to this ellipse which make an angle of 60 degrees with the x-axis.

can someone show me how to do and answer it. thank you very much for help
Click here to see answer by rothauserc(4718)

Question 1016362: an ellipse is defined by . Find the equations of the lines tangent to this ellipse which make and angel of 45 degrees with the x-axis

can someone show me how to do it and answer it. thankyou very much for the help
Click here to see answer by Fombitz(32388)

Question 1016545: an ellipse is defined by . What are the lengths of its major and minor axes?

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Question 1016545: an ellipse is defined by . What are the lengths of its major and minor axes?

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Question 1016625: write the equation of conic with eccentricity e,focus(a,0) and directrix y-axis ?
Click here to see answer by fractalier(6550)

Question 1016823: Please help me solve this one.x^2+3y^2-2x-6y=0
Click here to see answer by ikleyn(52798)

Question 1016772: Write an equation for the parabola with a vertex (-1,5) and a directrix x=-15
Click here to see answer by josgarithmetic(39620)

Question 1016822: how do I solve this math problem 3X + 4Y =2970?
Click here to see answer by josmiceli(19441)

Question 1017968: (h,k) and radius
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Question 1018040: Find the equation of the parabola if axis is horizontal, vertex on y axis and passing through (2,4) and (8,-2)
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Question 1018044: Find the vertex and focus and end points of the latus rectum of the parabola 5x^2-5x+7y-4=0
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Question 1018042: Find the vertex and focus and end points of the latus rectum of the parabola 9x^2-12x-36y-8=0
Click here to see answer by Edwin McCravy(20059)

Question 1018311: Find the points of intersection of y=2x+4 and y^2=4x+8

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Question 1018476: Find an equation of the parabola with x-intercepts 3 and 6 and y-intercept -2.
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Question 1018492: Find the vertex,focus and end points of the latus rectum of the parabola y^2-6x+3=0
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Question 1018629: find the equation of the parabola with vertical axis that passes through the point (0,2) & the points of intersection of the parabolas x^2+2x+3y+4= and x^2-3x+y+3=0
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Question 1018683: find the points of intersection of the parabolas x^2+2x+3y+4= and x^2-3x+y+3=0
Click here to see answer by josgarithmetic(39620)

Question 1018683: find the points of intersection of the parabolas x^2+2x+3y+4= and x^2-3x+y+3=0
Click here to see answer by ikleyn(52798)

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