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

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Question 181823: What point is the center of the circle with equation
x^2+y^2-6x+2y-6=0?
A.(3,1) B.(9,1) C.(-3,-1) D.(3,-1) E.(-3,1)
THANKS
Click here to see answer by Mathtut(3670)

Question 181821: For Points P(-3,5) and Q(1,3) find (a)PQ and (b)the midpoint of PQ
Click here to see answer by Alan3354(30993)

Question 182199: Find the dimensions of a rectangle that has an area 48 m^2 and a diagonal of length 10 m.
Click here to see answer by Earlsdon(6287)

Question 182197: separately(a) identify the conic and (b) give its center for each equation
9x^2+4y^2-18x+16y=0

x^2-4y^2-4x-8y-4=0
Click here to see answer by Mathtut(3670)

Question 182312: In the basic equation of a hyperbola what is the role of the semi-minor axis(b)? x^2/a^2 - y^2/b^2= 1, what is b?
Click here to see answer by Mathtut(3670)

Question 182564: 9xsquared-24x+16=0
Click here to see answer by Earlsdon(6287)

Question 182897: how do i put this equation in standard form?
4x^2-9y^2+40x+18y+55=0
Click here to see answer by solver91311(16897)

Question 183003: I am having trouble finding the vertex of parabolas. I need to find the axes, roots, and the vertices of the 3 following questions. Can you please show it to me in the completing the square method.
The questions are
y=2x^2-x+6
y=x^2-8x+2
y=4x^2-x+1
Thanks in advance.
Click here to see answer by stanbon(57361)

Question 183194: Given that the equation of a circle is x^2+y^2-10x+4y+13=0, find its center and its radius.
Click here to see answer by jim_thompson5910(28595)

Question 185040: How do you solve ?
I already tried to set 1/4p equal to 6.
Click here to see answer by Alan3354(30993)

Question 185557: how do you find the points of intersection for
x^2 + y^2=25
x + y^2=5
Click here to see answer by edjones(7569)

Question 185921: x=2sec(t) and y=4tan(t). Place the parametric equations in rectangular form. Identify the conic. Show all algebraic support. Please help me out!
Click here to see answer by jim_thompson5910(28595)

Question 185894: I hope this question is under the right category. The lesson is called conics.
Explain how the difference in the equations makes the two graphs different. Same question for all problems listed. Thank You
A. (Y+3)^2/23 - (X+2)^2/17=1
(x+2)^2/17 - (y+3)^2/23=1

B. (y-4)^2/7 + (x+9)^2/3=1
(x-4)^2/7 + (y+9^2/3=1

C. (Y+7)^2/11 - (X-4)^2/15=1
(Y+7)^2/15 -(X-4)^2/11=1
Click here to see answer by Alan3354(30993)

Question 187294: Solve the linear system with a single solution or using the addtion and substitution method.
14)2x-y+3z=14
x+y-2z=-5
3x+y- z=2

18) x-3y+2z=-11
2x-4y+3z=-15
3x-5y-4z=5''.

Click here to see answer by Alan3354(30993)

Question 187456: Find a parabola equation y-k=a(x-h)^2 if its Vertex(3,2) and it contains the point (1,3)
Click here to see answer by user_dude2008(1861)

Question 187486: Write an equation. The equation of a parabola such that the minimum value of y is -6 and the graph has x-intercepts 3 and 7.
Click here to see answer by stanbon(57361)

Question 187799: Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection.

y = x^2 + 5x + 6
y = x + 11

Thanks
Click here to see answer by jim_thompson5910(28595)

Question 187837: Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection.

y = x^2 + 5x + 6
y = x + 11

Thanks
Click here to see answer by stanbon(57361)

Question 188331: graph y > 4x² - 8x + 3
Click here to see answer by Alan3354(30993)

Question 188329: graph y ≤ x² - x - 20
Click here to see answer by Alan3354(30993)

Question 188475: 3y2-x2=25
Click here to see answer by Alan3354(30993)

Question 188504: The vertices of a triangle are given. Classify the triange as scalene, isosceles, or equilateral.
(-1,3), (6,1) (2,-5)
Click here to see answer by solver91311(16897)

Question 188602: Give the vertex, focus, directrix, and the distance across parabola at focus, and then graph the parabola.
x^2+6x+2y+15=0
Click here to see answer by Mathtut(3670)

Question 188599: Give the vertex, focus, directrix, and the distance across parabola at focus, and then graph the parabola.
y^2-8x-2y-15=0
Click here to see answer by Mathtut(3670)

Question 188598: Give the vertex, focus, directrix, and the distance across parabola at focus, and then graph the parabola.
y² - 8x - 4y + 12 = 0
Click here to see answer by Edwin McCravy(8909)

Question 188598: Give the vertex, focus, directrix, and the distance across parabola at focus, and then graph the parabola.
y² - 8x - 4y + 12 = 0
Click here to see answer by nerdybill(6962)

Question 188793: Find an equation of the ellipse with x-intercepts -5 and 5 and y-intercepts +-2 sqrt 3
Click here to see answer by Alan3354(30993)

Question 188790: write the equation of a parabola with vertex (0,0) and focus (0,-2)
Click here to see answer by feliz1965(151)

Question 188877: Graph the parabola (x+1)^2=8(y-2)
Label the focus and the directrix.
Click here to see answer by Alan3354(30993)

Question 188878: Graph 9x^2+y^2=9
Give the coordinates of the foci
Click here to see answer by Mathtut(3670)

Question 189017: find the equation for a circle with ends of its diameter at points p(5,1) and Q(7,3). Write the answer in standard form.
A. (x+3)^2+(y-2)^2=32
B. x^2+y^2=32
C. (x+6)^2+(y-2)^2=2
D. (x-6)^2+(y-2)^2=2
please choose A,B,C or D
Click here to see answer by solver91311(16897)

Question 189071: Find the standard form of the circle x^2 + y^2 + 2x - 6y - 6 = 0
How do I solve this?
Please help.
Thank you.
Click here to see answer by stanbon(57361)

Question 189091: graph the equation. Identify the conic section and describe the graph and its lines of symmetry. find the domain and range.
6x2 + 24y2 -96 = 0
Click here to see answer by Alan3354(30993)

Question 189073: So now that I have the standard form of the cricle x^2+y^2+2x-6y-6=0 wich is (x+3)^2+(y-3)^2=4^2 would the center be: -3, 3 and the radius: 4, or would it be 16?
Click here to see answer by kitty_tin(5)

Question 189124: x2/a2 - x2/a2 = 1
if the four points in a are joinde to form a quadrilateral classify the quadrilateral?
Click here to see answer by stanbon(57361)

Question 189164: For the following questions consider the basic upward opening parabola y=x2 (x squared).
In this parabola, as the x-value increases toward positive infinity, does the y-value also increase towards infinity?
Click here to see answer by feliz1965(151)

Question 189085: The cable for a suspension bridge is shaped like a parabola. The towers are 100 ft tall and 800 ft apart. It touches the roadway at the center. How long are the support cables at 50 ft, 200 ft, and 350 ft from the center?
Click here to see answer by ankor@dixie-net.com(15656)

Question 189207: y=x2-6x+11

Click here to see answer by Alan3354(30993)

Question 189361: Find the standard form of the hyperbola given by the equation 4x^2 - 25y^2 - 50y - 125= 0
Please help!
Thank you!
Click here to see answer by solver91311(16897)

Question 189360: Find the standard form of the ellipse given by the equation x^2 + 25y^2 -2x + 150y + 201 = 0
Click here to see answer by solver91311(16897)

Question 189469: For the given sequence, identify if it is an aritmetic sequence by answering yes or no. If yes, then identify the common difference.

1. –9, 0, 9, 18, ...

2. 0.1, 0.01, 0.001, 0.0001, ...

3. Find the 25th term of the arithmetic sequence 26, 13, 0, –13, ...

Click here to see answer by user_dude2008(1861)

Question 189470: For the given sequence, identify if it is an aritmetic sequence by answering yes or no. If yes, then identify the common difference.

1. 1/6,1/3,1/2,2/3

For these quesions please find the missing term of each arithmetic sequence.(?) means number that goes there?
8,(?),20

3.5,(?),12.5

Click here to see answer by user_dude2008(1861)

Question 189464: Multiply. State any restrictions on the variable

x^2+6x-7/x^2+5x times 3x^2+16x+5/2x^2+7x-9
Click here to see answer by jim_thompson5910(28595)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905