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

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

Question 466873: solve the polynomial. (x+8)^2/9+(y+5)^2/81
Click here to see answer by Ryan O'Hara(46)

Question 466881: (x-12)*=12, what are the approximate solutions

Click here to see answer by Big Poop(157)

Question 467169: what is the foci, center, and vertices of (x+3)^(2)/(16)+(y-1)^(2)/(25)=1
Click here to see answer by lwsshak3(6513)

Question 467197: A conic section has the equation x^2-6x-y+4y-4=0. Which of the following are true? Check all that apply

A. The equation is a parabola with its vertex at (3, 2).

B. The equation is a circle with its center at (3, 2).

C. The equation is a hyperbola with one vertex at (0, 2).

D. The radius is 1.

E. The radius is 2.

F. The graph has asymptotes at y=x-1 and y=-x+5

Click here to see answer by Big Poop(157)

Question 467310: Can someone please tell me which conic each of the following equations are? Thank you in advance!!!
a. 12x^2 = 29y^2 - y + 39
b. 12x^2 - 29y = x + 39
c. 29y^2 + 12x^2 = x +39
d. 12y^2 + 29y = 39 - 12x^2
I posted this question earlier, but someone answered with no answer so I'm reposting. Thank you.
Click here to see answer by Alan3354(30993)

Question 467379: how do you slove x= y squared-14y+25
Click here to see answer by jim_thompson5910(28595)

Question 467386: The odds against Lounging Larry winning the horse race are 3:8. Determine the probability that Lounging Larry wins the horse race.
Click here to see answer by jim_thompson5910(28595)

Question 467395: A person spins the pointer on a wheel and is awarded the amount indicated by the pointer. 1/2 of wheel is worth $2.00, 1/4 of wheel is worth $10.00, and 1/4 of wheel is worth $15.00
It costs $8 to play the game.
Determine: The expectation of a person who plays the game.
The fair price to play the game.
Show your work for full credit.

Click here to see answer by jim_thompson5910(28595)

Question 467396: Determine the probability that the spinner lands on green. The possible outcomes of this experiment are yellow, blue, green, and red
Probabilities:
Yellow 2/8
Blue 2/8
Red 3/8
Green 1/8
choose correct answer.
0.5
0.25
0.33
0.375
0.125

Click here to see answer by jim_thompson5910(28595)

Question 467398: Determine the odds against the spinner landing on red. The possible outcomes of this experiment are yellow, blue, green, and red
Probabilities:
Yellow 2/8
Blue 2/8
Red 3/8
Green 1/8
0.5
0.25
0.33
0.375
0.125

Click here to see answer by jim_thompson5910(28595)

Question 467397: The odds against Lounging Larry winning the horse race are 3:8. Determine the probability that Lounging Larry wins the horse race.
3/8
8/3
3/11
8/11
5/11

Click here to see answer by jorel1380(2518)

Question 467420: Identify the vertices and foci.
(x+3)^2/16+(y-1)^2/25=1
Click here to see answer by lwsshak3(6513)

Question 467654: p(x)=4x^4-37x^2+9
Click here to see answer by jorel1380(2518)

Question 467991: 1.f(x)=3x^-12x+4. What is the vertex and what is the of the line of symmetry nand what is the minimum or maximum of f(x).
2. give exact and approximate solutions to three decimal places: x^+5-7=0
3.give exact and approximate solutions to three decimal places:(x-2)^2=45
4.give exact and aqpproximate solutions to three decimal places:x^+14x+49=81
5.
Click here to see answer by ewatrrr(10682)

Question 468040: Draw the graph. 4y^2 +9y+10 = x

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Question 468040: Draw the graph. 4y^2 +9y+10 = x

Click here to see answer by ccs2011(207)

Question 467976: what is the other major axis vertex for the ellipse definded bt this equation:
(x+3)^2/(64)+ (y-9)^2/(49) = 1
one major axis vertex is located at (5,9)
Click here to see answer by lwsshak3(6513)

Question 467998: what is the directx of 8x=y^2
Click here to see answer by lwsshak3(6513)

Question 467939: 1) (x-1)^2/9+(y-3)^2/4=1
what is the center?Vertices?Foci? and Co Vertices. In short give the conic section.
Click here to see answer by lwsshak3(6513)

Question 468343: What is the value of c if the vertex of the parabola is a point one x-axis?
Click here to see answer by ccs2011(207)

Question 468601: Solve the system of hyperbola
4x^2-26y^2+10=0
i spent many hour but I can't solve,the number is decimal?
Thank you for help
Click here to see answer by Edwin McCravy(8909)

Question 468949: I need help to find the vertex, focus, and the directix of this parabola problem: y^2 – 12y + 16 – 20x = 0

Click here to see answer by Alan3354(30993)

Question 468949: I need help to find the vertex, focus, and the directix of this parabola problem: y^2 – 12y + 16 – 20x = 0

Click here to see answer by stanbon(57361)

Question 469352: If the wheel is spun and each section is equally likely to stop under the pointer, determine the probability that the pointer lands on an even number, given that the color is red.
Wheel has 12 equal sections; 1 is blue, 2 is purple, 3 is tan, 4 is purple, 5-6-7 is red, 8 is blue, 9 is purple, 10 is tan, 11-12 is purple

Click here to see answer by edjones(7569)

Question 469343: How do you find the vertex if the focus is (-4,4); directrix the line y= 2. I am completed lost.
Click here to see answer by scott8148(6628)

Question 469611: find the radius of a circle with the equation x2 + y2 - 6x - 12y + 36 = 0
Click here to see answer by ewatrrr(10682)

Question 469656: Evaluate 9C6
84
6
720
432

Click here to see answer by ewatrrr(10682)

Question 470340: The City’s Parks and Recreation Department has called the Algebra Society to help them design the new gardens that they will be developing in the west end of town. For the gardens, they have purchased a rectangular lot that is 42 feet wide and 87 feet long. The most important aspect of the new garden will be an elliptical walkway. In the center of the ellipse will be a grand fountain, and two smaller fountains are planned at the foci of the ellipse. The radius of the large fountain will be twice the radius of the smaller fountains. The centers of the small fountains will be the foci of the inner ellipse. The edge of the smaller fountains will be tangent(i.e. will touch) to the elliptical walkway. The Department provided the following sketch as a guide. The elliptical walkway will be 3 feet wide and tangent to a 3-foot walkway around the perimeter of the park.

Help the Department by finding the radius of the Grand Fountain and the radius of each smaller fountain.
Click here to see answer by ccs2011(207)

Question 470768: If P(A or B) = 0.9, P(A) = 0.7 and P(B) = 0.5, determine P(A and B)
0.15
0.25
0.45
0.30

Click here to see answer by jim_thompson5910(28595)

Question 470820: Identify the graph of the equation below as a parabola, an ellipse, or a hyperbola.
9x^2+8y^2-5x+8y-23=0
a. Parabola
b. Hyperbola
c. Ellipse
Click here to see answer by Tatiana_Stebko(1326)

Question 470819: Find the equation in standard form of the hyperbola with an asymptote slope of 3/4 and foci (-2,-8) and (8,-8).
a.(x-3)^2/9-(y+8)^2/16=1
b.(y-3)^2/16-(x+8)^2/9=1
c.(y+8)^2/9-(x-3)^2/9=1
d.(x-3)^2/16-(y+8)^2/9=1
e.(x+8)^2/9-(y-3)^2/16=1
Click here to see answer by ewatrrr(10682)

Question 470933: using cramer's rules ,solve the following system of linear epuations
x+2y=7
3x-4y=-9
Click here to see answer by Tatiana_Stebko(1326)

Question 470992: (a) Graph x^2/16 - y^2/25 = 1.
Show how you arrived at the graph by determining the (b) x-intercepts, (c) extent of the graph and the (d)asymptotes.
Please explain fully. I really don't understand this question. Thanks.
Click here to see answer by ewatrrr(10682)

Question 470815: Find the vertices and asymptotes of the hyperbola.
(x^2/49)+(y^2/9)=1
a.vertices:(0,+-7) asymptote:y=+-3/7x
b.vertices:(+-7,0) asymptote:y=+-7/3x
c.vertices:(+-7,0) asymptote:y=+-3/7x
d.vertices:(+-7,3) asymptote:y=+-7/3x
e.vertices:(0,+-7) asymptote:y=+-7/3x
Click here to see answer by lwsshak3(6513)

Question 470818: Find the standard form of the equation of the hyperbola with the given characteristics.
asymptotes:y=+-4x
a.(y^2)/(16/17)-(x^2)/(256/17)=1
b.(x^2)/(16/17)-(y^2)/(256/17)=1
c.(y^2)/(16)-(x^2)/(16)=1
d.(x^2)/(16)-(y^2)/(16)=1
e.(x^2)/(256/17)-(y^2)/(16/17)=1
Click here to see answer by lwsshak3(6513)

Question 471073: What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (Leave answers exact; do NOT round.)
x^2/25+y^2/36=1
Click here to see answer by lwsshak3(6513)

Question 471075: Solve the system of equations
3x+4y+z=7
2y+z=3
-5x+3y+8z=-31
Click here to see answer by lwsshak3(6513)

Question 471059: A space module is in an elliptical orbit around a planet.The maximum distance from the center of the planet to the module is 300 kilometers,and the minimum distance is 200 kilometers.If a model of this orbit is graphed with the center of the ellipse at the origin,write the equation that represents the path of the space module.
Click here to see answer by lwsshak3(6513)

Question 470793: Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0,0).
Click here to see answer by lwsshak3(6513)

Question 470747: 9x^2 – 25y^2 + 150y – 450 = 0
Find the center, vertices, foci, and asymptotes of the hyperbola
Click here to see answer by lwsshak3(6513)

Question 471394: Find the center and vertices of the ellipse.
(x^2/81)+(y^2/64)=1
a.center:(9,0) vertices:(0,-8),(0,8)
b.center:(0,0) vertices:(-8,0),(8,0)
c.center:(9,8) vertices:(-9,-8),(9,8)
d.center:(0,0) vertices:(-9,0),(9,0)
e.center:(0,0) vertices:(0,-9),(0,9)

Click here to see answer by unlockmath(1602)

Question 471422: write the equation of hyperbola c entered in (2,1) with foci (2,-3) and (2,5) and asymptote y=x-1
Click here to see answer by lwsshak3(6513)

Question 471393: Find the center and vertices of the ellipse.
4x^2+y^2=4
a.center:(-2,2) vertices:(-1,0),(1,0)
b.center:(-2,2) vertices:(-1,-2),(1,2)
c.center:(0,0) vertices:(-2,0),(2,0)
d.center:(0,0) vertices:(-2,-1),(2,1)
e.center:(0,0) vertices:(0,-2),(0,2)
Click here to see answer by lwsshak3(6513)

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