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

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Question 443624: Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 Please show all of your work.
Click here to see answer by mananth(16946)

Question 443966: Write the slope-intercept equation for the line with slope -1/2 and y-intercept (0, 3) and graph the line. Please show all of your work. Submit your graph
Click here to see answer by rwm(914)

Question 444055: Can you show a step by step process of turning x^2-8x+8y=-16 into standard form for a parabola?
Click here to see answer by edjones(8007)

Question 444197: Write the slope-intercept equation for the line that passes through (-4, -8) and (-3, -2). Please show all of your work.
Click here to see answer by mananth(16946)

Question 444196: Write the slope-intercept equation for the line that passes through (-10, 5) and has slope 9/10. Please show all of your work.
Click here to see answer by mananth(16946)

Question 444190: What is the center, foci and the length of the major and minor axes' of:
7x^2 + 3y^2 - 28x - 12y = -19
And also how would you graph this?
Click here to see answer by poliphob3.14(115)

Question 444345: Identify the graph:
4x^2+56x+4y^2-88y=-679
Click here to see answer by poliphob3.14(115)

Question 444440: Need help with this question.
Find the standard form of the equation of the ellipse with the following characteristics.
foci: (+9,0) major axis of length: 24

Click here to see answer by ewatrrr(24785)

Question 444437: Need help with this question.
Find the center and foci of the ellipse.
(x+5)2 + (y+1)2=1
___________________
11 36
Click here to see answer by ewatrrr(24785)

Question 444457: need help with this question.
Find the standard form of the equation of the ellipse with the given characteristics.
foci (2,5),(2,11) endpoints of the major axis: (2,4),(2,12)
Click here to see answer by ewatrrr(24785)

Question 444286: Write the equation in standard form for an ellipse centered at (h,k). Identify the center and the vertices.
4x^2 + 8x + y^2 + 2y + 1 = 0
Click here to see answer by ewatrrr(24785)

Question 444284: Solve the system of equations. Give graphical support by making a sketch.
(x^2/4) + (y^2/9) = 1
x + y = 3
Click here to see answer by ewatrrr(24785)

Question 444572: (x-4)^2+(y+9)^2-4=0 Would this equation be a circle, ellipse, parabola, or hyperbola?
Click here to see answer by stanbon(75887)

Question 444561: PLEASE HELP ME SOLVE THIS EQUATION FOR THE AXIS OF SYMMETRY: X^2-6X-7 THANKYOU:D
Click here to see answer by chriswen(106)

Question 444722: I need help with this question
Find the standard form of the equation of the ellipse with the given characteristics.
Center (-8,-2) a=2c foci (-9,-2),(-7,-2)

Click here to see answer by robertb(5830)

Question 444732: Find the standard form of the equation of the ellipse with the given characteristics
foci: (2,5),(2,11) endpoints of the major axis: (2,4),(2,12)
Click here to see answer by robertb(5830)

Question 444730: I need help with this question.
Find the standard form of the equation of the hyperbola with the given characteristics
foci (+-2,0) asymptotes y=+-5x
Click here to see answer by robertb(5830)

Question 444847: please help with this question.
find the center and foci of the hyperbola.
(y-3)2 - (x+7)2=1
______ _____
4 12
Click here to see answer by ewatrrr(24785)

Question 444845: need help with this question.
Find the standard form of the equation of the hyperbola with the given characteristics.
vertices: (1,-8), (1,-2) foci: (1,-10),(1,0)

Click here to see answer by ewatrrr(24785)

Question 444844: need help with this question.
Find the standard form of the equation of the hyperbola with the given characteristics.
vertices: (0,+-5) foci: (0,+-7)

Click here to see answer by ewatrrr(24785)

Question 444727: Find the standard form of the equation of the hyperbola with the given characteristics.
vertices (0,+-5) foci (0,+-7)

Click here to see answer by ewatrrr(24785)

Question 444731: need help.
Find the standard form of the equation of the hyperbola with the given characteristics
vertices (1,-8),(1,-2) foci (1,-10), (1,0)
Click here to see answer by ewatrrr(24785)

Question 444459: find the center and foci of the hyperbola.
(y-3)2 - (x+7)2=1
______ _____
4 12
Click here to see answer by ewatrrr(24785)

Question 444456: need help with this question.
Find the standard form of the equation of the hyperbola with the given characteristics.
vertices: (1,-8), (1,-2) foci: (1,-10),(1,0)

Click here to see answer by ewatrrr(24785)

Question 444958: find all the zeros of the polynomial function x^3-4x^2-7x+10
Click here to see answer by poliphob3.14(115)

Question 445070: I need help please, solving this equation.
(y - 1)^2 = x + 1
(y + 2)^2 = -x + 4
Click here to see answer by rwm(914)

Question 445932: x^2-18x-y^2+12y=19, find the center and vertices
Click here to see answer by ewatrrr(24785)

Question 445873: Hyperbolas:
Could someone please tell me how to determine if the following indicate the foci are on the x-axis or the y-axis?
x^2/4 -y^2/16 = 1
x^2/49 - y^2/9 = 1
x^2/36 - y^2/16 = 1
Click here to see answer by ewatrrr(24785)

Question 445286: Identify the conic section section formed by 9x^2 - y^2 = 9
Click here to see answer by ewatrrr(24785)

Question 445992: how do you get the intercepts for an ellipse when given a & b??
Click here to see answer by Alan3354(69443)

Question 446169: A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is
........
Click here to see answer by robertb(5830)

Question 445994: How do you find the intercepts for an ellipse?
Click here to see answer by robertb(5830)

Question 446237: In the equation of a parabola y = (x-5)^2 + 4, I understand the vertex is (5,4). I don't understand why we take the opposite of what is in the parenthesis with the x. It seems to me we would translate the vertex of the graph left 5 units, not right 5 units. Can someone please help me understand this? Thanks.

Click here to see answer by stanbon(75887)

Question 446350: Graph the following ellipses:
1) 4x^2+36(y+3)^2=144
2) 4x^2+9(y+5)^2=36
Click here to see answer by Alan3354(69443)

Question 446589: What is the "equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0"
Click here to see answer by lwsshak3(11628)

Question 446616: Given that the equation of a parabola is y^2+4y-8x+20=0 find the equation in the form (y-k)^2=4a(x-h).
Click here to see answer by AnlytcPhil(1806)

Question 446676: how do i factor 5x^2+12x-15

Click here to see answer by chriswen(106)

Question 446813: Hi! My question is on the midpoint formula which is labeled under circles and parabolas in my algebra 2 book, so I'm assuming I'm in the right category. The worksheet gives the points P(3,-5) and Q(6,1), and then says to find the point X such that P is the midpoint of line QX. The way its worded tells me I can't go about this the normal way I do with midpoint formula problems. I don't understand what numbers to plug in where. Any help would be greatly appreciated! Thanks so much!
Click here to see answer by mananth(16946)

Question 447019: Hi, I'm not sure which section to be asking these questions under, but i would really appreciate the help! :)
Find A and B such that: 2x/(2x-3)(x+5)=A/2x-3+B/x+5
Click here to see answer by stanbon(75887)

Question 446766: An amusement park has been charging $12 per person for admission and averaging 1000 patrons per day. the directors of the park are considering a $2 increase in the price for next season . They have calculated that for each $2 in increase they will probably lose 100 patrons per day. What should be the ideal admission fee for the greatest income on an average day . Write an equation to model the situation and draw a graph of the situation to justify your answer.
So I got the ideal price to be $16
The equation is what i'm not sure of , I got (x-16)^2= p(y-12800) Not sure on how to find P , Also not sure if the equation is correct
Click here to see answer by ankor@dixie-net.com(22740)

Question 447021: Solve the system of equations: y-3x-2=0
x^2+y^2=4
Click here to see answer by jorel1380(3719)

Question 447092: How do you put x^2+y^2-6x-8y+24=0 in standard form for a circle.
Click here to see answer by poliphob3.14(115)

Question 447150: I'm really stuck on solving this partial fraction:
3/x(x+17)(x^2+13)= A/x+B/x+17+Cx+D/x^2+13

Click here to see answer by stanbon(75887)

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