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

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Question 479772: Can you please put this equation into the standard form of a conic, step-by-step?
3y^2 + 20x = 23 + 5x^2 + 12y
Click here to see answer by ewatrrr(24785)

Question 479772: Can you please put this equation into the standard form of a conic, step-by-step?
3y^2 + 20x = 23 + 5x^2 + 12y
Click here to see answer by lwsshak3(11628)

Question 479772: Can you please put this equation into the standard form of a conic, step-by-step?
3y^2 + 20x = 23 + 5x^2 + 12y
Click here to see answer by ccs2011(207)

Question 479586: (x-3)^(2)/(9)-(y+5)^(2)/(16)=1
Identify the curve; find the center,asymptotes, vertices, foci; then sketch the curve
Click here to see answer by lwsshak3(11628)

Question 479582: y^(2)/(16)-x^(2)/(9)=1
Identify the curve, find the center,asymptotes, foci; then sketch the curve
Click here to see answer by lwsshak3(11628)

Question 479836: 1. Find the center
2. Slopes of Asymptotes
Hyperbola
(x-3)^2/9-(y+4)^2/16=1
Find the equation of the hyperbola described.
center at (1, -4), one vertex at (4, -4), and b = 5
thank you
Click here to see answer by lwsshak3(11628)

Question 480211: WHich type of conic is this? (x+2)^2/25-(y-1)^2/9=1
Click here to see answer by stanbon(75887)

Question 480300: find the ellipse in standard form that passes through the
point(3,sqrt(7)) and (sqrt(3),3)?

Click here to see answer by Edwin McCravy(20059)

Question 480300: find the ellipse in standard form that passes through the
point(3,sqrt(7)) and (sqrt(3),3)?

Click here to see answer by Alan3354(69443)

Question 461730: What is the equation of the hyperbola with a foci (0,-8) and (0,8) and the difference of focal radii is 10
Click here to see answer by lwsshak3(11628)

Question 480568: Graph each hyperbola. Include labels indicating the coordinates of the foci and vertices and the equations of the asymptotes.
4x^2-40x-7y^2-14y+65=0
and
(y-3)^2/9 - (x+2)^2/16 = 1

thanks for ur time
Click here to see answer by Edwin McCravy(20059)

Question 480717: Graph each hyperbola. Include labels indicating the coordinates of the foci and vertices and the equations of the asymptotes.
(y-3)^2/9 - (x+2)^2/16 = 1

thanks :)
Click here to see answer by lwsshak3(11628)

Question 480992: A reflector for a satellite dish is parabolic in cross section, with the receiver at the focus. The reflector is 1 ft. deep and 20 ft. wide from rim to rim. How far is receiver from the vertex of the parabola reflector?
Click here to see answer by lwsshak3(11628)

Question 481377: Simplify each complex expression. Write your answer in standard form.
7-5i over 2+3i
and
Provide the requested information for each parabola, ellipse, circle, or hyperbola.
Identify the vertex and axis of symmetry of y=x^2-2x+5
thank you
Click here to see answer by lwsshak3(11628)

Question 481381: Identify the center and the radius of the circle (x � 4)2 + (y + 3)2 = 81.
and
Identify the center of the ellipse x^2/3+(y+1)^2/5=1
thank you!
Click here to see answer by lwsshak3(11628)

Question 480900: Use the point plotting method to graph the equation and identify any intercepts. Verify your results using a graph utility. y=x-x^3 Please give me step by step instruction on how to solve this problem.
Click here to see answer by lwsshak3(11628)

Question 481380: Identify the vertex and directrix of the parabola (x+4)^2=-1/8(y+3)
and
Write the equation of a parabola a directrix at x = 1 and a focus at (-3, 0).
thank you!
Click here to see answer by lwsshak3(11628)

Question 481379: Identify the x-intercepts and the axis of symmetry of y=(x-1)(x-5)
and
Rewrite in intercept form: y=2x^2-2x-4
thank you
Click here to see answer by lwsshak3(11628)

Question 481667: Identify the vertices, foci, and slope of the asymptotes for the hyperbola
x^2/25 - y^2/36=1

and

Write the following equation in standard form and identify it as a parabola, ellipse, circle, or hyperbola: 4x^2+8x-9y^2-36y-68=0

thank you so much
Click here to see answer by lwsshak3(11628)

Question 481498: Find the focus and directrix of the parabola with the given equation. Then graph the parabola.
y^=-12x
Click here to see answer by lwsshak3(11628)

Question 481497: Find the focus and directrix of each parabola with the given equation.
a). x^=4y

b). y^=-4x
Click here to see answer by lwsshak3(11628)

Question 481732: Solve for x (round your answer to the nearest hundredth): 4e^2x + 5 = 6
Click here to see answer by lwsshak3(11628)

Question 481495: Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes.
y^/25-x^/64=1
Click here to see answer by lwsshak3(11628)

Question 481812: A semielliptic archway has a height of 20feet and a width of 50feet, can a truck 14feet high and 10feet wide drive under the arch without going into the other lane?
Click here to see answer by Edwin McCravy(20059)

Question 481810: Find the standard form of the equation of each ellipse satisfying the given conditions.
Endpoints of major axis: (2,2) and (8,2)
Endpoints of minor axis: (5,3) and (5,1)
Click here to see answer by lwsshak3(11628)

Question 481921: (1/2)x^2+(1/8)y^2=(1/4).... How do I graph this. I know I should get one on the left hand side. But then ill get 2x^2 +y^2/2=1 so from here how do I know the a and b if the 2x^2 isn't a fraction w denominator...
Click here to see answer by ewatrrr(24785)

Question 481494: A semielliptic archway has a height of 20 feet and a width of 50 feet, can a truck 14 feet high and 10 feet wide drive under the archway without going into the other lane?
Click here to see answer by lwsshak3(11628)

Question 482103: The standard form equation for a parabola with focus (2, �3) and directrix x = 5 is?
Click here to see answer by lwsshak3(11628)

Question 482102: The standard form equation for the ellipse with major axis endpoints (+ or - 5, 0) and minor axis length 4 is?
Click here to see answer by lwsshak3(11628)

Question 482101: A standard form equation for the ellipse with foci (0,+ or - 3)and major axis length 10 is?
Click here to see answer by lwsshak3(11628)

Question 482730: Find the equation of a hyperbola whose asymptote coincide withe the points (-7, 4) and (-1, -14). Its other asymptote contains point (-4,1), and (-3/4, -53/4) is a point on the hyperbola.
Click here to see answer by lwsshak3(11628)

Question 483182: how do i graph this and make a parabola? g(x)=x2-9x+9
Click here to see answer by edjones(8007)

Question 482543: Explain which conic section this equation and explain how to solve it:
12x^2-18y^2-18x-12y+12=0
Click here to see answer by lwsshak3(11628)

Question 484442: Hello,
I need a quick brush-up on ellipses:
find center of ellipse x^2+4y+6x-8y+9=0
mainly i just need to know how to get this in the right form, and then I think I'm good from there on figuring out the center, etc. I completed the square and got (x+3)^2+4(y-1)^2=1, but there is still the 4 in front of the (y-1)^2 - how do i get rid of the 4 while keeping a 1 on the right side?
Thanks,
Jessica
Click here to see answer by lwsshak3(11628)

Question 485884: Find the equation for the parabola with vertex (0, 0) and directrix x = 4
Click here to see answer by lwsshak3(11628)

Question 485440: how the shape of the parabola relates to the equation.
Click here to see answer by lwsshak3(11628)

Question 486178: how do I find an equation of the parabola that contains the points
(-3,7), (2,9), (6,-2)
Click here to see answer by solver91311(24713)

Question 486333: please help me finish this hyperbola: this is what it gives me.
The hyperbola with center at (5, -6), with vertices at (0, -6) and (10, -6), with (15, 0) a point on the hyperbola.
here is the equation setup:
( )^2/( )-( )^2/( )=1
Click here to see answer by lwsshak3(11628)

Question 486326: (x-3)^2/9-(y-2)^2/16=1
I have tried everything and cant not figure out a couple of my college algebra questions. I am looking for the CENTER and VERTICES of this hyperbola. Please help me!
Click here to see answer by lwsshak3(11628)

Question 486510: Hello, I am having a problem finding the equation for a hyperbola. I have tried to work it out but can't seem to get it 100 percent right. The information my teacher gives is :
The hyperbola with center at (4, 5), with vertices at (0, 5) and (8, 5), with b = 2.
If you could please help show me how to solve this so i know how to do it that would be great. Thankyou so much.
Click here to see answer by lwsshak3(11628)

Question 472587: Find the equation in standard form of an ellipse with center at (0,0) minor axis of length 18, and foci at (0,-12) and (0,12).
a. (x^2/225)+(y^2/81)=1
b. (x^2/144)+(y^2/81)=1
c. (x^2/81)+(y^2/225)=1
d. (x^2/9)+(y^2/15)=1
e. (x^2/15)+(y^2/9)=1
Click here to see answer by lwsshak3(11628)

Question 482542: Explain which conic section this equation and explain how to solve it:
12x^2-18y^2-18x-12y+12=0
Click here to see answer by lwsshak3(11628)

Question 487841: Find the vertex of -0.2x^2+12x+11
I have used two different methods and came up with two different answers. I have solved for the x= 30 but when I went to do the maximum value I used two solutions and that is where I came up with different answers. The first I substituted the 30 in to the equation -0.2(30)^2+12(30)+11= 191; on the second I used the formula 4ac-b^2 /4a with a= -0.2 b= 12 c=11 I got 4(-0.2)(11)-12^2 divided by 4(-0.2) and came to the answer 169.
Click here to see answer by John10(297)

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