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

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Question 758377: A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 196 feet and a maximum height of 30 feet. Find the height of the arch at 15 feet from its center.
Click here to see answer by ankor@dixie-net.com(22740)

Question 758896: Determine the equation of the hyperbola whose asymptotes are x�2y=0 and which passes through (4,3)
Click here to see answer by lwsshak3(11628)

Question 759157: Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertices: (0, �8); foci: (0, �6)
Click here to see answer by josgarithmetic(39618)

Question 759156: Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (�1, 0); asymptotes: y = �7x
Click here to see answer by lwsshak3(11628)

Question 759274: Find the standard form of the equation of the circle with the given radius and center.
Center = (-8,-5) and radius = 2 sqrt 5
Click here to see answer by Alan3354(69443)

Question 759313: what are the center and radius of the circle described by the equation (x-5)2+(y+4)2=121?
Click here to see answer by Cromlix(4381)

Question 759284: Change from general to standard form
4x^2 + y^2 - 8x - 2y + 1 = 0
Click here to see answer by lwsshak3(11628)

Question 759620: Find the standard form of the equation of the hyperbola with the given characteristics
1: vertices (0,+/-7) foci (0,+/-9)
2: vertices (0,+/-3) foci (0,+/-6)
Click here to see answer by lwsshak3(11628)

Question 759640: Compared to the focus and directrix of y = ax^2, explain how the focus and directrix of
(y-k) = a(x-h)^2 are affected by the values of h and k.
Click here to see answer by stanbon(75887)

Question 759881: what is the standard form of the equation of a hyperbola with vertex (0,4) focus at (0,5) and center at (0,1)?
Click here to see answer by Edwin McCravy(20056)

Question 760129: Determine the vertex of the parabola whose equation is (y-1)^2=16(x-4)
Click here to see answer by MathLover1(20850)

Question 760129: Determine the vertex of the parabola whose equation is (y-1)^2=16(x-4)
Click here to see answer by lwsshak3(11628)

Question 760132: Which is the equation of a circle, in standard form, whose center is (-3/7) and whose radius is 1/2?
Click here to see answer by MathLover1(20850)

Question 760128: If sin O= -8/17 and tan O is positive, what is the value of cos O?
O=omega
Click here to see answer by lwsshak3(11628)

Question 760507: parabola
change from general to standard form
y^2 + 12x + 2y = -25
Click here to see answer by josgarithmetic(39618)

Question 760689: For the ellipse represented by 25x^2 + 16y^2 -160y = 0 find the vertices on major axis
Click here to see answer by stanbon(75887)

Question 760694: For the ellipse represented by 25x^2 + 16y^2-160y =0 find the center
Click here to see answer by stanbon(75887)

Question 760858: how do i put this hyperbola in to standard form of ((x-h)^2/a^2)-((y-k)^2/b^2)=1 by completing the square
36x^2-y^2-24x+6y-91=0
i know i have to group the x's and y's but when i group the x's (36x^2-24x) how do i make 36x^2 just x^2 because i factored out 12 to get 12(3x^2-2x) but the 3 in from of the x^2 is really confusing me please help :( asap Thank youuu

Click here to see answer by josgarithmetic(39618)

Question 760904: What type of conic section is 3x^(2) - y^(2) - 75 = 0

Click here to see answer by lwsshak3(11628)

Question 761279: Find the vertex and directrix for the parabola
y + 2 = 1/3 (x+2) ^ 2
Click here to see answer by lwsshak3(11628)

Question 762070: y+3=-1/2(x-2)^2 how to graph the parabola
Click here to see answer by stanbon(75887)

Question 762019: Find the standard form of the equation of the hyperbola satisfying the given conditions.
 Conditions:� vertices at (0,3) and (0,-3); foci at (0,5) and (0,-5)
Click here to see answer by lwsshak3(11628)

Question 762363: 2y^2+8y=x-8
Click here to see answer by unlockmath(1688)

Question 763200: Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes?
x^2/9 - y^2/25 = 1
Click here to see answer by KMST(5328)

Question 763198: Graph the ellipse and locate the foci ?
X^2/64 + y^2/16 = 1
Click here to see answer by lwsshak3(11628)

Question 763701: -4x^2+9y^2-8x-54y+113=0, I need help in finding the CENTER,VERTICES,FOCI,and the equation that represents the ASYMPTOTES of the hyperbola
Click here to see answer by MathLover1(20850)

Question 763776: the equation of the parabola with focus (0,4) and vertexn(0,0)
Click here to see answer by MathLover1(20850)

Question 763985: write the parabola in standard form? y=3(x-1)^2+2
Click here to see answer by jim_thompson5910(35256)

Question 764024: Find the focus, directrix, and focal diameter of the parabola. 4x^2 +11y = 0
Click here to see answer by lwsshak3(11628)

Question 764794: I multiplied the bottom equation by -4 to cancel out the y's then subtracted the two equations but got the wrong answer.
Solve each system of equations.
9x^2+4y^2=144
x^2+y^2=25

Click here to see answer by ankor@dixie-net.com(22740)

Question 765278: i need help finding the center, vertices, and foci of this equation 9x^2+36(y-2)^2-324=0
Click here to see answer by MathLover1(20850)

Question 765509: 1.Write a formula for a function with a graph that has exactly two x-intercepts,
one at x = 4 and the other at x = 2. Draw a graph by hand of your equation and check its intercepts by substituting 2 and then 4 for x.
2.Write an equation for a function with a graph that has exactly two x-intercepts,
one at x = �6 and the other at x = 3. Draw a graph by hand of your equation and check the intercepts.
3.Write a formula for a function whose graph has exactly three x-intercepts,
one at x = �3, another at x = 1, and the third at x = 3. Draw a graph by
hand of your equation and check the intercepts.
5. Draw a graph of a different parabola that has the same x-intercepts as the
graph for problem 1. What is the equation of that function?
6. Solve the equation Q = 4a + 6ac for a.
Click here to see answer by stanbon(75887)

Question 765498: Find the vertices, asymptotes, and foci of the hyperbola.
y^2-9x^2-10y-54x-65=0
Click here to see answer by lwsshak3(11628)

Question 765685: What is the distance between points P(2, 7) and Q(10, 13)?
Click here to see answer by tommyt3rd(5050)

Question 765683: What is the distance between P(-3, -2) and Q(5, -2)?
Click here to see answer by tommyt3rd(5050)

Question 766023: Write an equation for a circle with center at (�7, 10) and diameter = 6.

Click here to see answer by solver91311(24713)

Question 766023: Write an equation for a circle with center at (�7, 10) and diameter = 6.

Click here to see answer by Alan3354(69443)

Question 766036: Write the ellipse in standard form: 12x^2+6y^2=168
Click here to see answer by MathLover1(20850)

Question 766197: What is the focus, vertex and directrix of the parabola
-2x^2+16x+24y-224=0....
Click here to see answer by lwsshak3(11628)

Question 759821: Find the center and vertices of the ellipse x2 + 4y2 - 4x + 8y + 4 = 0
Click here to see answer by DSMLMD(16)

Question 760881: For the given parabola indicate the foci, vertices and center
y^2/9 - x^2/4 = 1
Click here to see answer by DSMLMD(16)

Question 757927: 9x^2-16y^2=144
Click here to see answer by DSMLMD(16)

Question 759363: Classify the coincs.
1. x2 -8x + y = -2
2. x2 + y2 - 6x - 10y = 2
3. x2 + 10x - 8y = -73
4. 9x2 - 4y2 + 54x + 8y + 41 = 0
5. 9x2 + 4y2 - 72x - 32y = -172
6. 4x2 + 25y2 + 16x + 50y - 59 = 0
7. x2 + 2x +y2 + 6y = 15
Click here to see answer by DSMLMD(16)

Question 757847: tutors please help me find the vertex and focus of the equatin y^2 = -8

Click here to see answer by DSMLMD(16)

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