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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 613360: 12y^2-40x^2=480
Click here to see answer by Alan3354(30955)

Question 613392: The path of a shell fired from ground levels is in the shape of the parabola y=4x-x^2, where x and y are given in kilometers.
a. How high does the shell go?
b. How far has the shell traveled horizontally when it reaches its maximum height?
c. How far from its firing point does the shell land?

So frustrating, I cannot understand this. Any help is appreciated, thank you!
Click here to see answer by ewatrrr(10682)

Question 613412: how would you write the conic x^2-14x+y^2+4y-11 into standard form?
Click here to see answer by lwsshak3(6460)

Question 613530: the question says find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola (x+1)sqared -(y-3)sqared=4
please help im so lost
Click here to see answer by lwsshak3(6460)

Question 613637: (x+3)^2/16-y^2/9=1
conic
center
foci
graph
Click here to see answer by ewatrrr(10682)

Question 613651: an ellipse has a vertex at (4,0), a co-vertex at (0,2), and a center at the origin. what is the ellipse in standard form?
Click here to see answer by ewatrrr(10682)

Question 613699: what is the axis of symmetry, focus, and equation for directrix for the parabola x=1/16 y^2
Click here to see answer by ewatrrr(10682)

Question 613811: What kind of shape does x^2+4y^2=4 make?
Click here to see answer by stanbon(57214)

Question 613836: On my homework I have a couple of problems that have to do with conic sections. I have already done one in class but my teacher didnt explain it. The problem is x^2+y^2-3x+8y=20. Im stuck on what to do next.
Click here to see answer by scott8148(6628)

Question 614074: Can someone help me with these 2 questions.

Click here to see answer by ewatrrr(10682)

Question 614197: A movie earned $80 million during its first week of release. Then sales decreased by 60% during each following week. When asked to calculate the amount of money earned during the movie’s 5-week release period, Julian got an answer of about $2 million.
Part A: How can you tell immediately that Julian’s answer is not reasonable?
Part B: What error did Julian likely make?
Part C: How much money did the movie earn during its 5-week release period? Round your answer to the nearest million.
Click here to see answer by richwmiller(9135)

Question 614371: classify the conic section for (x+3)^2/16 - (y-5)^2/64 = 1

Click here to see answer by rapaljer(4667)

Question 614331: What is the vertex, focus, and directrix for this equation: (3x+6)^2=18y-36
Click here to see answer by lwsshak3(6460)

Question 614352: Graph the parabola by finding the vertex, directrix, and opening. Equation given 4x-3=-ysq.+4y+1
Click here to see answer by lwsshak3(6460)

Question 614559: please help me write a equation for a hyperbola for ; a=7 and c=9
Click here to see answer by lwsshak3(6460)

Question 614581: Find the verticies of the hyperboloa defined by this equation:
(x-2)^2 over 36 minus (y-2)^2 over 4 equals 1.
Click here to see answer by lwsshak3(6460)

Question 614581: Find the verticies of the hyperboloa defined by this equation:
(x-2)^2 over 36 minus (y-2)^2 over 4 equals 1.
Click here to see answer by ewatrrr(10682)

Question 614612: Graph x2 + y2 + 8x – 24y + 16 = 0.
Click here to see answer by lwsshak3(6460)

Question 614750: Find the vertices, foci, asymtopes for y.
(y-2)^2/1 - (x-1)^2/4 =1
Click here to see answer by lwsshak3(6460)

Question 614777: x^2 - 5x + 6
Click here to see answer by richwmiller(9135)

Question 614827: write the equation of a circle with a center at (_5,_5) and a diameter of 13
Click here to see answer by Alan3354(30955)

Question 614824: write the equation of a circle with a center st (2.5,_3.5) and a radius of i.2
Click here to see answer by Alan3354(30955)

Question 614826: write the equation of a circle witha center at(1,3) and a radius of 6?
Click here to see answer by Alan3354(30955)

Question 614823: write the equation of circle at (_4,2)and a radius of2.2
Click here to see answer by Alan3354(30955)

Question 614898: What is the focus of the conic section
12x + y^2 - 14y + 1=0
Click here to see answer by lwsshak3(6460)

Question 614894: Which two endpoints define the major axis of this conic section?
9x^2 + 25y^2 - 200y + 175=0
Click here to see answer by lwsshak3(6460)

Question 614971: A tunnel through a mountain for a four lane highway is to have a semi-elliptical opening. The total width of the highway is 48 ft and the height at the edge of the road must be sufficient for a truck 11 ft high to clear. If the highest point of the opening is to be 15 ft, approximately how wide must the opening be?
Click here to see answer by Edwin McCravy(8879)

Question 614450: Hi! I'm stuck on a hyperbola question on my homework, could you please help me find the center? 9y^2-16x^2-36y-108=0
Click here to see answer by lwsshak3(6460)

Question 615106: Find an equation of the line satisfying the conditions given. Express your answer in standard form.
Parallel to 3x-y and passing through (-1,0)
Click here to see answer by Alan3354(30955)

Question 614263: How would you rewrite 4x^2+25y^2=100, and then make a table from that equation I'm not understanding how you would put values like say 0 for x and solve for y in the equation?
Click here to see answer by ankor@dixie-net.com(15623)

Question 615343: x^2/19-y^2/9=1 Write the center and radius of the circle represented by the equation
Click here to see answer by solver91311(16868)

Question 615277: Please help!!!
Determine values for A, B, and C such that the equation below represents the given type of conic. Each axis of the ellipse, parabola, and hyperbola should be horizontal or vertical. Then rewrite your equation for each conic in standard form, identify (h, k), and describe the translation.
Ax^2+By+Cy^2+2x-4y-5=0
Part A: Circle
Part B: Ellipse
Part C: Parabola
Part D: Hyperbola
Click here to see answer by solver91311(16868)

Question 615380: how to find equations of the straight lines with the given conditions
Click here to see answer by nerdybill(6948)

Question 615650: How do you find the equation, vertex, focus, directrix, and latus rectum of the following:
-14x+2y^2-8y=20
Click here to see answer by lwsshak3(6460)

Question 615654: How do you find the system of equations:
x^2+y^2=9
4x^2-4y^2=16
Click here to see answer by jsmallt9(3296)

Question 615752: Write the equation of the hyperbola with vertices (-10,1) and (4,1)
Click here to see answer by jsmallt9(3296)

Question 615999: Help?!
I was searching throughout the internet for a video with a detailed explanation of Algebra Conics, but no luck D:
Can anyone please help me with these problems?
It's practice for my final, and I'm just panicking!!
Write the equation in standard form, find the center and radius. ((a CIRCLE))
1)x^2+y^2+4x-6y-3=0
&How would you write an equation in standard form if only given...
2) center at (-3,4) passes through the origin
ANY HELP IS SINCERELY AND GRATEFULLY APPRECIATED!
Click here to see answer by stanbon(57214)

Question 616003: Help?!
I was searching throughout the internet for a video with a detailed explanation of Algebra Conics, but no luck D:
Can anyone please help me with these problems?
It's practice for my final, and I'm just panicking!!
Write the equation in standard form, find the center and radius. ((a CIRCLE))
1)x^2+y^2-12x+14y+17=0
ANY HELP IS SINCERELY AND GRATEFULLY APPRECIATED!
Click here to see answer by richwmiller(9135)

Question 616013: Help?
I'm studying for my finals but I just don't understand these questions. Or how to find the answer. PLEASE HELP!
Given
x^2+y^2-12x-8y+27=0
What is it's center?
For radius: I got sqrt.27 = 5.196 which radius equals 5.

&If given x^2/25+y^2/16=1
What is the foci?
Given 36x^2+9y^2-324=0
Find the
center:
vertices:
co-vertices:
foci: I know it's c^2=a^2+b^2 or subtraction?
These questions I have trouble with on the review, please help!
Click here to see answer by richwmiller(9135)

Question 616029: If you're given
x^2/25+y^2/16=1
What is the foci?
- -
Given 36x^2+9y^2-324=0
Find the
center:
vertices:
co-vertices:
foci: I know it's c^2=a^2+b^2 or subtraction?
Sorry, These questions I have trouble with on the review, please help!
Click here to see answer by lwsshak3(6460)

Question 616031: Can someone help me with this question for my review?
x^2/36-y^2/16=1
center:
vertices:
conjugate points:
foci:
asymptotes:
I don't know how to start, it's overwhelming X_X IM STUCK....
Click here to see answer by lwsshak3(6460)

Question 616012: What is the standard form of the ellipse with the equation 16x^2+25y^2=150y+175?
Click here to see answer by lwsshak3(6460)

Question 615731: Complete the square, then graph and identify the vertex, focus, directrix, and endpoints of the latus rectum for the equation -14x+2y^2-8y=20
Click here to see answer by lwsshak3(6460)

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