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

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Question 972473: 1.write an equation in standard form for the ellipse shown with center (0,0) , focus (0,6) co-vertex(0,-10).
2. The area of a rectangle is equal to x^2 +7x +10 square units. if the length of the rectangle is equal to x+5 units, what expression represents its width?

Click here to see answer by lwsshak3(11628)

Question 972711: I have an equation of a semi-ellipse that I found from the graph. I need to get it into y= form from standard form. The equation right from the graph is ((x-10)^2)/64 + (y^2)/256 = 1
If possible, please show work as well. Thank you very much!
Click here to see answer by stanbon(75887)

Question 972758: Find the vertex and focus of the parabola y^2-2x-4y=-10
Click here to see answer by josgarithmetic(39618)

Question 972998: Find an equation for the hyperbola that satisfies the given conditions. State the coordinate of the center and the eccentricity. Graph.
Vertices at (0,+/-9), foci at (0,+/-16)
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Question 972995: Find the vertices, foci, and the equations of the asymptotes of the hyperbola (x^2/16)+(y^2/64)=1

Click here to see answer by MathLover1(20850)

Question 973341: Write the ellipse in standard form.
3x2 + 25y2 + 6x − 72 = 0

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Question 973502: Conics: Equation: 16y^2=49x^2+784
I need all necessary parts and need to know which conic it is
Click here to see answer by KMST(5328)

Question 973674: Write the standard form of the equation by completing the square. Then, identify the conic section represented.
x^2+y^2+2x-4y-31=0
I tried factoring it, but it's not working
Click here to see answer by Boreal(15235)

Question 973724: what is the x intercepts of a parabola with a vertex of (-1,-17) and a y intercept of (0,-13?
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Question 973705:
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Question 973700: The shape of a state park can be modeled by a circle with the equation x^2+y^2=1600. A stretch of highway near the park is modeled by the equation y=1/40(x-40)^2. At what points does a car on the highway enter or exit the park?
Click here to see answer by lwsshak3(11628)

Question 973817: please help me learn how to solve this:
State the coordinates of the vertex in the relation y^2 = 2x+4
Click here to see answer by Edwin McCravy(20056)

Question 973819: find the center and raidus of this equation
(x-5)^2+(y+4)^2=24

Click here to see answer by Alan3354(69443)

Question 973873: please help me learn how to do this:
identify the conic represented by the equation x^2-6x = y+3
Click here to see answer by MathLover1(20850)

Question 973815: Hello! I really need help with this! My teacher never gave us a lesson on this, so I am struggling through! It is all pretty much how to identify a conic, but I do not really get what that means or how to do it. Here are a few of the problems, but if you want, you can only use one of them to show me how to do the rest.
identify the conic represented by the equation x^2-6x = y+3
identify the conic with the equation 3x^2 - y^2 - 7x + 2 = 0
identify the conic section of the equation [(x-2)^2]/9 - [(y+2)^2]/4 = 1
please help me!!!
Click here to see answer by KMST(5328)

Question 974197: identify the conic section given by 25X^2+64y^2=1600. describe the center and the intercepts and graph
Click here to see answer by lwsshak3(11628)

Question 974270: find the equation of the circle in the fourth quadrant whose diameter is 8 and is tangent to both axes.
Click here to see answer by KMST(5328)

Question 974272: find the equation of the ellipse with the vertices (+-8,2) and foci (+-5,2)
Click here to see answer by josgarithmetic(39618)

Question 974271: find the equation of the parabola whose directrix is x=7 and whose endpoints of the latus rectum are at (1,-1) and (1,11)
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Question 974269: what is the length of the major axis of an ellipse (x-1)^2/25 + (y+7)^2/81 = 1
Click here to see answer by lwsshak3(11628)

Question 974268: what is the center of the hyperbola 4y^2-12x^2-72x-16y-44=0 ?
Click here to see answer by lwsshak3(11628)

Question 973450: X=y�+4y+4
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Question 974320: Find an equation for the ellipse. Graph the equation.
Center at (5,4); focus at (12,4); contains the point (5,9)
Click here to see answer by Boreal(15235)

Question 974490: What is the vertex, focus, and directrix of x=1/2y^2+3
Click here to see answer by lwsshak3(11628)

Question 974622: What is the general form of the parabola with focus at (3, -1) and x=5 as directrix?
Click here to see answer by josgarithmetic(39618)

Question 974686: The graph of the equation x^2 + y^2 + 8x − 10y − 40 = 0 is which of the following conic sections?
A. parabola
B. hyperbola
C. ellipse
D. circle
Click here to see answer by Fombitz(32388)

Question 974685: Which of the following is represented by a parabola with vertex at the origin and focus (-3, 0)?
A. x= 1/12 y^2
B. y= -1/12 x^2
C. y= 1/12 x^2
D. x= -1/12 y^2
Click here to see answer by lwsshak3(11628)

Question 974783: Y^2+6x+12y-6=0
Click here to see answer by Edwin McCravy(20056)

Question 974942: y^2-4y-4x-8=0 in graphing form
Click here to see answer by Fombitz(32388)

Question 975068: a curve is given by . what type of curve is it?

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Question 975071: one of the side of a square lies along the straight line 4x+3y=26. the diagonals of the square intersect at the point(2,3).find the coordinates of the vertices,the equation of the sides of the square which are perpendicular to the given line,the equation of the circle passing through all the four vertices of the square.
Click here to see answer by josgarithmetic(39618)

Question 975201: please help me factorise completely
8x^2+4xy
Click here to see answer by Alan3354(69443)

Question 975217: Write the equation of an ellipse, in standard form, with center at (-1,3), vertex at (3,3) and minor axis of length 2.
Click here to see answer by Boreal(15235)

Question 975226: For the following ellipse:
(x + 2)2 + (y + 2)2 = 1
4 25

Find: a)Center :___________
b)Vertices:___________

___________
c) Foci: ___________
___________
d) length of
major axis:________
e) length of
minor axis:________
f) eccentricity:________

Click here to see answer by Boreal(15235)

Question 975216: Write the equation of the parabola that has its focus at the point (4,7) and whose directrix is x=-2.
Click here to see answer by Edwin McCravy(20056)

Question 975227: The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 2 hours for a square inch of ice to melt at 65�, how long will it take a square inch of ice to melt at 80�?
Click here to see answer by Alan3354(69443)

Question 975228: Find the eccentricity of the graph whose equation is 14x2 + 16y2 = 224.
Click here to see answer by lwsshak3(11628)

Question 975225: Given the equation x2 � 2x + 1 = 8y � 16.
a) Write the equation of the parabola in standard form.
b) State the coordinates of the vertex.
c) State the coordinates of the focus.
d) State the equation of the directrix.

e) Sketch the graph.

Click here to see answer by lwsshak3(11628)

Question 975218: Write the equation of an hyperbola, in standard form, with vertices ( 0,3) and (0,-3) and asymptotes y=3/2x and y=-3/2x
Click here to see answer by lwsshak3(11628)

Question 975212: Find the vertex, focus and directrix of the parabola ( x -5 )^2 = 8 (y+2)
Click here to see answer by josgarithmetic(39618)

Question 975213: Write the equation of the parabola with vertex at (-2,3) and focus at (-2,-1).
Click here to see answer by lwsshak3(11628)

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