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

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Question 607297: Two radio transmitters are positioned along the coast, 500 miles apart. A signal is sent simultaneously from each transmitter. The signal from trasmitter T1 is received by a ship's LORAN 700 microseconds after the ship receives the signal from T2. The radio signals travel at 0.186 mile per microsecond. Find an equation of the hyperbola, with foci at T1 and T2, on which the ship is located. Round parameters to the nearest tenth.
Click here to see answer by richwmiller(9143)

Question 607485: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (4,0) or (-4,0) Asymptotes: y=4x or y=-4x
Click here to see answer by lwsshak3(6519)

Question 607483: A fountain in a shopping mall has two parabolic arcs of water intersecting. The equation of one parabola is y=-0.25x^2+2x and the equation of the second parabola is y=-0.25x^2+4x-11.75. How high above the base of the fountain do the parabolas intersect: All dimensions are in feet. Round to the nearest hundredth.
Click here to see answer by lwsshak3(6519)

Question 607295: A circular vent pip with a diameter of 6.5 inches is placed on a roof that has a slope of 5/8. The intersection of the vent pipe and the roof is an ellipse. To the nearest hundredth of an inch, what are the lengths of the major and minor axes?
Click here to see answer by Nihal@SriLanka(21)

Question 607718: State whether the equation is a parobola, circle, or and elipse. Write the equation in the appropriate standard form and then give all the associated "pieces."
5x^2+2y^2+30x-16y=-67
Thanks for any help you can give us!
michelle@modesto.net
Click here to see answer by jim_thompson5910(28598)

Question 607800: Find the vertex, the focus and directrix of each equation.
1. X= 1/24y^2
2. X^2 = 4y
Click here to see answer by ewatrrr(10682)

Question 608089: Find the equation of the ellipse with the following properties.
The ellipse with x-intercepts (5, 0) and (-5, 0); y-intercepts (0, 3) and (0, -3)?

Click here to see answer by ewatrrr(10682)

Question 608148: Solve the system using substitution.
Y=-3x^2+x-2,
Y=-5x+3
Click here to see answer by solver91311(16897)

Question 608145: Solve the system by elimination.
Y=x^2+2,
-4x-y=10
Click here to see answer by Alan3354(30993)

Question 608125: Identify the conic section that is represented by the equation
x^2 - 3y^2 + 6x + 2y - 5 = 0

Click here to see answer by Alan3354(30993)

Question 608368: What is x^2+2y^2+6x-20y+53=0 in standard form?
Click here to see answer by Edwin McCravy(8909)

Question 608402: The coefficient of the second degree term of a quadratic equation is 1. If the constant term of the equation is increased by 1, the roots of the resulting equation are equal; but if it is diminished by 3, one root of the resulting equation is double the other. Find the original quadratic equation and its roots. So far, I've came up with ax^2+bx+(c-3) and ax^2+bx+(c-1). I don't know if I should be using the standard formula, vertex formula, root formula, etc. Please help me?
Click here to see answer by richard1234(5390)

Question 608412: x^(2)+y^(2)+4x+6y+9=0 Indentify the center and radius and graph
Click here to see answer by stanbon(57384)

Question 608422: hi how do you solve this:
write an equation for the parabola with the focus (1,3) and vertex (0,3)
Click here to see answer by lwsshak3(6519)

Question 608398: Find the equation of the tangent to the curve (x-3)^2+(y+2)^2=25 at the point on the curve, in the fourth quadrant, where x=7. I've already solved for the formula, but how do you find the y value for where x=7? Do you have to use the distance formula from the C(3,-2) to P(7, y) and solve for y or what? I'm confused. D:
Click here to see answer by lwsshak3(6519)

Question 608503: Perform the indicated operation
(5/2x-12)-(20/x^2-4x-12) <---- Fractions
The only thing i know how to do is simplfy x^2-4x-12 to (x-6)(x+2)
Click here to see answer by lynnlo(4164)

Question 608536: Write the equation in Ax^2 + Bx^2 + Cy^2 +Dx +Ey + F = 0 form.
(x-2)^2/5 - (y+3)^2/12 = 1
Click here to see answer by stanbon(57384)

Question 608536: Write the equation in Ax^2 + Bx^2 + Cy^2 +Dx +Ey + F = 0 form.
(x-2)^2/5 - (y+3)^2/12 = 1
Click here to see answer by lynnlo(4164)

Question 608527: 2y^2+20y+44=0
Click here to see answer by lynnlo(4164)

Question 608548: Write the equation in standard form for the conic section.
An ellipse centered at (3,2) with vertices at (9,2) and (-3,2)and co vertices at (3,5) and (3,-1)
Click here to see answer by solver91311(16897)

Question 608603: find the equation of hte elipse that has vertices (-2,-4) and (8,-4) and a focus at (6,-4)
Click here to see answer by ewatrrr(10682)

Question 608617: Classify the conic section, write it's equation in standard form, and graph.
25x^2+y^2-100x-2y+76=0
Click here to see answer by ewatrrr(10682)

Question 608618: Classify the conic section, write it's equation in standard form, and graph.
Y^2-2y-4x-7=0
Click here to see answer by ewatrrr(10682)

Question 608616: Classify the conic section, write it's equation in standard form, and graph.
X^2+y^2+4x-6y-3=0
Click here to see answer by ewatrrr(10682)

Question 608650: -x^2 + y^2 - 6x -10y +17=0
a.find the vertices
b.find the length of the focal radius
c.find the slopes of the asymptotes
d.find the length of the conjugate axis.
I dont know if it is a circle or a hyperbola.
Click here to see answer by ewatrrr(10682)

Question 608749: write an equation of circle with the given center and radius
(0,0); 25
Click here to see answer by Alan3354(30993)

Question 608829: What is the graph of 4x^2=y^2+8y+32?

A.parabola
B.circle
C.ellipse
D.hyperbola
Click here to see answer by ewatrrr(10682)

Question 609019: -3x^2 - 3y^2 + 12x + 96=0
a. find the center
b. find the radius
Click here to see answer by ewatrrr(10682)

Question 608941: Equation of a hyperbola
2x^2-y^2-12x-2y=55
Click here to see answer by ewatrrr(10682)

Question 608874: Find an equation for a hyperbola centered at the origin with a horizontal transverse axis of length 8 units and a conjugate axis of length 6 units.
Click here to see answer by ewatrrr(10682)

Question 609020: Solve.
x+ √x-7 = 3
Click here to see answer by lynnlo(4164)

Question 609076: Can you help me solve:
what is the y-coordinate of the center of the circle?
(x-6)^2+(y+5)^2=21^2
Thank You !
Click here to see answer by flame8855(424)

Question 609050: The origin of a coordinate grid lies on a circle with a center at the point (-5,12). What is the equation of the circle?
Click here to see answer by richwmiller(9143)

Question 609197: What is the minimum value of the function y = 3^2 + 2x – 8?

Click here to see answer by lwsshak3(6519)

Question 609197: What is the minimum value of the function y = 3^2 + 2x – 8?

Click here to see answer by ewatrrr(10682)

Question 609322: 16x^2-9y^2+96x+18y-135=0
Click here to see answer by stanbon(57384)

Question 608068: (x^2/25) - (y^2/b^2) =1
Find the foci, directrices, and eccentricity of hyperbola.
I am struggling with the method for this question, I understand that the value a is 5, but I am unsure on how to use this to get an answer???
Click here to see answer by lwsshak3(6519)

Question 609466: 16y^2-9x^2-64y-80=0
Click here to see answer by lynnlo(4164)

Question 609543: When given the characteristics of the parabola, center at origin, and directrix at x=7. How do you find standard form?
Click here to see answer by solver91311(16897)

Question 609537: the points (-1,4) and (3,-2) are the endpoints of a diameter of a circle. Find the center of the circle, and the radius, and write the equation of the circle.
Click here to see answer by solver91311(16897)

Question 609666: complete the equation of the circle centered at (9,2) that passes through (11,2)
Click here to see answer by scott8148(6628)

Question 609690: How do you put 16(x-2)^2+25(y-3)^2=400 into standard form?
Click here to see answer by solver91311(16897)

Question 609691: How do you put x^2+y^2+16x-14y+616=0 into standard form?
Click here to see answer by stanbon(57384)

Question 609703: complete the equation of the circle centered at (9,2) that passes through (11,2)=0
the answer needs to be equal to 0.
Click here to see answer by Alan3354(30993)

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