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

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Question 1158663: find the equation of the hyperbola with one vertex at (6,6) and asymptotes at y=(4/3)x+2 and y=(-4/3)x+10.
Click here to see answer by Edwin McCravy(20056)

Question 1158539: Function g can be thought of as a translated (shifted) version of f(x)=x^2
Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.
g(x)=____

Click here to see answer by MathLover1(20850)

Question 1158822: Convert the equation to standard form by completing the square x^2+6x+8y+1=0
Click here to see answer by MathLover1(20850)

Question 1158928: Write the equation of each ellipse or hyperbola.
13. A vertical ellipse has a focus (−6,1). It has a co-vertex of (-10, -7)
The correct answer is:

However, I do not know how to do the work to get the answer
Click here to see answer by MathLover1(20850)

Question 1159533: Write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line. F(0,4), y = 0
Click here to see answer by josgarithmetic(39618)

Question 1159537: Can someone please Identify the focus and the directrix of the graph of the equation.
y = - 2x ^ 2
Click here to see answer by solver91311(24713)

Question 1159534: Write an equation of a parabola with a vertex at the origin and the given focus
Focus at (2,0)
Click here to see answer by josgarithmetic(39618)

Question 1159536: Identify The focus and the directrix of the graph of this equation please
x = 1/36 * y ^ 2
Click here to see answer by MathLover1(20850)

Question 1159535: Write an equation of a parabola opening upward with a vertex at the origin.
Focus 1.5 units from vertex
Click here to see answer by josgarithmetic(39618)

Question 1159590: Find an equation of the ellipse that has center (1,4) , a minor axis of length 6 , and a vertex at (1,9). answer

Click here to see answer by MathLover1(20850)

Question 1159590: Find an equation of the ellipse that has center (1,4) , a minor axis of length 6 , and a vertex at (1,9). answer

Click here to see answer by greenestamps(13200)

Question 1159737: what shape is defined by the equation y=2x²-3
Click here to see answer by Alan3354(69443)

Question 1159736: complete the square to find the equation of the parabola in the problem y=x²+6x+11
Click here to see answer by ankor@dixie-net.com(22740)

Question 1159736: complete the square to find the equation of the parabola in the problem y=x²+6x+11
Click here to see answer by josgarithmetic(39618)

Question 1159736: complete the square to find the equation of the parabola in the problem y=x²+6x+11
Click here to see answer by math_helper(2461)

Question 1159736: complete the square to find the equation of the parabola in the problem y=x²+6x+11
Click here to see answer by ikleyn(52795)

Question 1160185: write the equation of a parabola with a vertex at the origin and a focus of (0, -3).
Click here to see answer by greenestamps(13200)

Question 1160185: write the equation of a parabola with a vertex at the origin and a focus of (0, -3).
Click here to see answer by MathTherapy(10552)

Question 1160251: Convert the equation 6x^2-3y^2+12x-18y-3=0 to the standard form of a hyperbola. Thank you.
Click here to see answer by solver91311(24713)

Question 1160350: One piece of ash was ejected from a volcano with a initial velocity of 336ft/sec. The heigh H in feet is given by the equation H=-16t^2+336t where T is the time in seconds.
When does the ash projectile reach its maximim height?
It's the vertex of the parabola at t = -b/2a
Solve for t
==================================
What is its maximum height?
Sub t at the vertex.
=========================
when does the ash projectile return to the ground?
When -16t^2 + 336t = 0
Which is 2 times the t at the vertex.
Click here to see answer by MathLover1(20850)

Question 1160940: (a)Given the equation of a conic section as:
9x² + 25y² − 36x − 150y + 36 = 0.
(i) Express the equation in standard form.

Click here to see answer by solver91311(24713)

Question 1160972: A bridge is built in the shape of a parabolic arch. The bridge has a span of 180 feet and a maximum height of 40 feet above the water at the center. Can a sailboat that is 39 feet tall fit under the bridge 10 feet from the center?
Click here to see answer by Edwin McCravy(20056)

Question 1160971: A parabolic eavesdropping device is used by an intelligence agent to record terrorist conversations. The parabolic surface measures 120 cm in diameter at the top and is 20 cm deep at its center. How far from the vertex should the microphone be located?
Click here to see answer by josgarithmetic(39618)

Question 1161084: what are the coordinates of the turning point of the parabola whose equation is y = x^2 - 2x - 4 ?
Click here to see answer by Boreal(15235)

Question 1161086: For each of the following quadratic equations in
x and y, determine which conic section it is. Acceptable answers
are: ellipse, hyperbola or parabola.
86751x^2−206064xy+26649y^2+826200x−1632150y+4961250= 0
Answer:
6620377x^2−541728xy+5871748y^2+103601480x+15085640y−712427600=0
Answer:
6100537x^2−3751968xy+915588y^2+37341510x−15331320y+7700625=0
Answer:
1025425x^2+342720xy+617449y^2−11596670x+6408192y+35166384=0
Answer:
75888x^2+96768xy−75888y^2−1663200x+1202400y+10080000=0
Click here to see answer by jim_thompson5910(35256)

Question 1161620: Find the focus of the parabola √x/3 + √y/2 = 1
Click here to see answer by ikleyn(52795)

Question 1161786: Determine the equation of the circle whose center is at (4,5) and tangent to the circle whose equation is x^2 + y^2 + 4x + 6y - 23 = 0
Click here to see answer by Alan3354(69443)

Question 1161791: Find the equation of a line normal to the curve x^2=16y at (4,1).
Click here to see answer by solver91311(24713)

Question 1161789: Find the acute angle that the curve y=1-3x^3 cut the x-axis.
Click here to see answer by Alan3354(69443)

Question 1161789: Find the acute angle that the curve y=1-3x^3 cut the x-axis.
Click here to see answer by solver91311(24713)

Question 1161790: Find the ratio of the major axis to the minor axis of the ellipse: 9x^2+4y^2-24y-72x-144=0
Click here to see answer by greenestamps(13200)

Question 1161790: Find the ratio of the major axis to the minor axis of the ellipse: 9x^2+4y^2-24y-72x-144=0
Click here to see answer by Alan3354(69443)

Question 1161785: Find the equation of the ellipse whose center is at (-3-1), vertex at (2,-1), and focus at (1,-1)
Click here to see answer by greenestamps(13200)

Question 1162551: Find an equation in standard form of the parabola described.
Vertex at (-4, -4); passes through (0, 0)
Click here to see answer by greenestamps(13200)

Question 1162555: Find an equation in standard form of the parabola described.
Vertex at (−4, −2); passes through (−3, 0) and (9/4, 3)

standard form: (y-k)^2 =4p(x-h)
Click here to see answer by MathLover1(20850)

Question 1162554: Find an equation in standard form of the parabola described.
Vertex at (−3, −3); passes through (0, 0).
standard form: (y-k)^2 =4p(x-h)
Click here to see answer by MathLover1(20850)

Question 1162553: Find an equation in standard form of the parabola described.
Vertex at (−2, 4); passes through (0, −4)
Form: (y-k)*2=4p(x-h)
Click here to see answer by MathLover1(20850)

Question 1162641: Write an equation in standard form of the ellipse described.
Foci at (8, 2) and (2, 2); b = 4
Click here to see answer by Edwin McCravy(20056)

Question 1162642: Write an equation in standard form of the ellipse described.
Foci at (6, 7) and (2, 7); b = 2
Click here to see answer by Alan3354(69443)

Question 1162837: What conic section is X^2-4Y^2-2X+24Y-35=0?

Thx a lot for the help!

Ben
Click here to see answer by solver91311(24713)

Question 1163046: What is the length of latesrectum of a hyperbola

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Question 1163243: Write the equation of the hyperbola:
Vertex at the origin, Passes through 5,10. Axis: x axis
(That is all the information given.)
Click here to see answer by greenestamps(13200)

Question 1163303: Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).
Click here to see answer by ikleyn(52795)

Question 1163353: Find the standard form of the equation of the hyperbola with the giving characteristics. Vertices (0, +-2); foci (0, +-4).
Click here to see answer by greenestamps(13200)

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