9x2 – 18x + 4y² + 8y defines an ellipse with center ( E ). The major axis has length and the minor axis has length Hint: Convert the equation to standard form.

Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

Q: what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1.…

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Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given…

A: We have to find the focci of an ellipse

Q: What is the standard form of the equation of the parabola with the focus (5, –1) and the directrix æ…

A: Any point at parabola is equidistant from its focus and directrix.

Q: 14. Consider the equation: y -8x+2x² –6y+13=0 (a) Show work to determine whether this equation…

A: Given : y2-8x+2x2-6y+13=0

Q: 20) Write the equation of the ellipse 4x +9y +24x 162y + 729 = 0 in standard form and then graph the…

A: Given the equation of the ellipse, 4x2+9y2+24x-162y+729=0

Q: O Does the origin lie inside or outside the ellipse with equation (x – 4) 2 + 4(y - 3) 2 = 4?

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Q: Find the standard form of the ellipse given below in general form. x2 – 2x + 4y2 + 24y + 33 = 0

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Q: (2+1)- (y-2)" Find the foci of the ellipse. 1 %3D 25

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Q: Write the equation of the ellipse 16x? + + 4y“ + 64x + 32y + 64 = 0 in standard form h)? (x (y – k)²…

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Q: find the length of the major axis and the length of the minor axis of each ellipse. x2 + 6x + 4y2 -…

A: Given: Ellipse: x2+6x+4y2-16y+9=0 To Find: The length of the major axis and the length of the minor…

Q: 2. Put this ellipse in standard form: 4x2 + 6y2 = 48

A: Consider the provided equation, 4x2+6y2=48 The equation write in the standard form. The standard…

Q: 20. Which is the equation of an ellipse? a) 25 y² 3D1 16 b) x2 + y2 =1 %3D c) 25 x² y2 =D 1 %3D 16…

A: 20)

Q: Find the center and foci of the ellipse. (x+5) (y+9)² = 1 %3D

A: The given ellipse equation,(x+5)25+(y+9)29=1

Q: Determine if 9x + 25y² = 225 is an ellipse. %3D O Not an Ellipse Ellipse, we can write the equation…

A: Given  equation,        9x2+25y2=225

Q: Find the length of major axis of the ellipse x^2+4y^2-2x-8y+1=0

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Q: for the ellipse 4x^(2) +y^(2) +24x -2y +21 = 0, find its area

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Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

Q: Q2) Put the equation (3x +(y-2) = 3) in standard form and sketch the ellipse.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 0 = 3x2 – 6x+4y² – 16y+18 is an ellipse. True False

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Q: The ellipse given by the equation 30x^2+5y^2+40y=120x-50 The center is: ? It has foco at: ? and ?…

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Q: Convert the equation 4x2 + 25y2 - 24x + 100y + 36 = 0 to standard form by completing the square on x…

A: Given: 4x2+25y2-24x+100y+36=0 for converting given expression in standard form, we simplify it so,…

Q: What is the standard form of the ellipse whose equation is 4z +3y-16z + 9y+16 -0? Drag an expression…

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Q: Find the evolute of the ellipse x2 / a2+y2 / b2=1.

A: The given ellipse has the equation:

Q: Find the point (x, y) on the ellipse, 4(x - 1)^2+ y^2 = 1, that is farthest to the origin (0, 0).

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Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 +…

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and…

Q: Find the equation in standard form of the ellipse whose foci are F1(-8, and F2(8, 0), such that for…

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Q: (-3x) dxtxdy C is part of the ellipse 5x2+6y=30 fromC0,-V5) to cra,O). X,

A: Line integral Given ellipse is  From .

Q: (x – 2)2 (y – 4)² 1 9. 25 defines an ellipse with center ( ). The major axis has length and the…

A: The standard form of the equation of an ellipse having vertical major axis is

Q: A landscape architect is designing an elliptical pool that will fit in the center of a 20-by-30-…

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Q: Find the standard form of equation of an ellipse and determine the center, major axis, a and b. 1.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the center of the ellipse given by x² – 2x + 2y? - 12y +3 0. Enter as an ordered pair without…

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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Q: What are the foci of the ellipse? (z-2)² (g+1) =D1 49 25 o (2+2V6, 1) o (12v6, 1) o (12/6, - 1) o…

A: Given equation of an ellipse is (x-2)249+(y+1)225=1

Q: An ellipse has an equation x² y2 = 4 9. 15 Find the value of b.

A: Given the equation of ellipse is  To find the value of b

Q: Find the length of the major axis of the ellipse 3x2 - 12x + 5y2 + 10y - 10 = 0.

A: Given equation of ellipse is 3x2-12x+5y2+10y-10=0. Sketch the above ellipse as shown below.

Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: 1. Write the equation into the standard form of the equation of the parabola: -15 + 12x – 6y + y² =…

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Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225

Q: 9x2 - 18x + 4y +8y = 23 defines an ellipse with center ( 1 -1 ). The major axis has length and the…

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Q: One of St. Matthew's Hall is 10 feet wide and has a semi- ellipse ceiling. The ceiling is 6 feet…

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Q: 5. What is the standard-form equation of the ellipse shown? -2- x2 1 25 %3D 16 1 %3D x2 25 1 16 O x2…

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Q: Find the length of the minor axis of the ellipse 8x2 + 3y2 = 72.

A: Given: 8x2+3y2=72 To Find: The length of the minor axis of the given ellipse

Q: Derive the equation of the ellipse b y* =1 a

A: Given: x2b2+y2a2=1

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

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Q: I. Write the equation of an ellipse from general to standard form. Write your final answer on the…

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Q: Let 36x? + 16y² – 144x - 128y – 176 = 0 - - (x – h)? (y – k)? = 1. - then write the ellipse in…

A: Change it to standard form and solve it.

Q: Determine F'(-3i) if 522 – 4z + 3 F(a) = | - vhere C is the ellipse 16x² + 9y² = 144.

A: The given ellipse can be written as: x232+y242=1 Thus the ellipse encloses y=-3.

Q: IV. Write the equation of the ellipse. 1) vertices at (-10, 4) and (2, 4); minor axis with length 10…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 4. (a) Derive the equation of the ellipse z+=1 b² =1. a

A: We need to derive the equation of an ellipse centered at (0, 0) with foci at (-c ,0) and (c, 0) and…