Find the lengths of the major and minor axes of the ellipse x2 +4 y-6x-40 y=-100 Select one: O Length of the minor axis= 1.50 , Length of the major axis= 3 O Length of the minor axis= 3.00 , Length of the major axis= 6.00 O Length of the minor axis= 0.75, Length of the major axis= 3 O Length of the minor axis= 0.75 , Length of the major axis= 1.50

Q: Find the length of the directrix of an ellipse x2/16 + y2/9 = 1

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Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10- 8 6…

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Q: What is the length of the major axis of the ellipse defined by the equation: x2 + 5(y – 2)2 = 5?

A: The given equation is x2+5y-22=5 To find the length of the major axis of the ellipse.

Q: Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4,…

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Q: Find the equation of the ellipse whose focus is (0,4) and the directrixy = 9. %3D

A: Given that Ellipse has focus at (0, 4) and the directrix is y=9 Major axis is along x=0, y-axis. so…

Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 8, and a vertex at…

A: Major axis can be found by using distance formula between center and vertex.

Q: Find the equation to the ellipse whose centre is at the origin and the axes are the axes of…

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Q: Find an equation of the ellipse with vertices (+4, 0) and foci (±20). y2 A - - 16 12 x2 y2 12 16

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Q: John is planning to build an arched trellis for the entrance to his botanical garden. The arch is to…

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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: Find the equation of the vertical ellipse that is centered at ( 16, 24), passes through the point (…

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Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11…

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Q: Find the standard equation of an ellipse if the foci are (-7, 6) and (-1, 6), the sum of the…

A: Here we have to find the standard equation of an ellipse if the foci are -7,6 and -1,6, the sum of…

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (-1, 4) and (-1,0). D=0

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Q: Write an equation of an ellipse with the center (2, -4 ), and with a vertical major axis of length…

A: General equation of ellipse having vertical major axis is given by÷   x-h2b2+y-k2a2=1 Where,…

Q: Find an equation of the ellipse that has center (3, -5), a major axis of length 10, and endpoint of…

A: The standard form of the equation of an ellipse with center (h, k) and major axis parallel to the…

Q: Write the equation of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3) and…

A: Given minor axis end points are (0,3) (0,-3) major axis endpoints are (-11,0) (11,0) write an…

Q: the ratio of the major axis to the minor axis of ellipse 9x^2+4y^2-24y-72x-144=0 is

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Q: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

Q: Find the intersection points of the pair of ellipses. (100x² + 25y² = 100 y? x2 + (х, у) %3 (smaller…

A: In this question we will use basic of algebra i.e solutions of two equation which are the point of…

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

A: topic- ellipse

Q: Write the equation of the ellipse with endpoints of the major axis (-11, 0) and (11, 0) and minor…

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Q: Q 2. Explain and find the center, foci, ends of major axis, ends of minor axis and vertices of the…

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Q: Find the center, length of major and minor axis for ellipse 4x +9y + 24x = 0 Hence, sketch the…

A: Solutions

Q: Write the equation of an ellipse in standard form. 4x2 + 24x + 25y² – 200y + 336 = 0 Identify the…

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Q: What are the lengths of the major and minor axes of this ellipse x^2/6+y^2/12=1?

A: Given: The equation of ellipse is x26+y212=1. To find: The lengths of the Major axis and Minor axis.…

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

A: The given ellipse has the equation:

Q: The eccentricity of the ellipse x2/4+y2/16=1 is:

A: Given equation of ellipse: x24+y216=1

Q: Picture of question is attached.

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Q: What are the foci of the ellipse given by (x-3 )^2/25 + ( y−1)^2/9 = 1 ?

A: By using standard form and ellipse, we calculate the foci of an ellipse.

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (5, 3) and (-3, 3). 2 2…

A: We want to find equation of the ellipse from the given data.

Q: Find the lengths of the major and minor axes of the ellipse x2 +4 y2 -8x-32 y =-44 Select one:…

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Q: y 10- 8 (6,6) 6 4 (5,3) (7,3) 2 (6,0) X 4 6. 8 10 2.

A: Ellipse standard equation

Q: Find the equation of the ellipse that will just fit inside a box that is 8 units wide and 6 units…

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Q: 35. Find the foci of the ellipse. 6x2- 12x + 3y + 24y = -36

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Q: Find the equation of an ellipse whose foci belong to the x-axis and passes through the points (4,3)…

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Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

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Q: What is the eccentricity of the ellipse whose equation is [(x2) / 25] +[(y-3)2 / 9] = 1?

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Q: Illustrate the coordinates of an ellipse  passing through (h,k) show your complete solution  (…

A: Given information: The equation of the ellipse is (x-3)24+(y+1)29=1. Concept Used: The general…

Q: What are the endpoints of the major axis and minor axis of the ellipse (- 12 =D1 36

A: Given

Q: Find the intersection points of the pair of ellipses. S4x2 + y2 = 4 (4x² + 9y2 = 36 %3D ([ (х, у) 3…

A: We know that standerd form of an ellipse is :- (x-h)2/a2  + (y-k)2/b2 = 1     Here i attached the…

Q: Write an equation for the ellipse. minor axis from (- 8, – 2) to (2, – 2); major axis from (- 3, -…

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

A: Given foci F1(-8,0) and F2 (8,0) of the ellipse and we know that the center is (0,0) and that the…

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: Find the equation(in standard form) of the ellipse whose foci are F₁ (-10, 0) and F₂ (6, 0), such…

A: we know that from any point on ellipse, sum of its distances d from the foci is given by d=2a where,…

Q: Determine endpoints of the major and of the minor axes of the ellipse described by the equation…

A: standard form of an ellipse is, (x-h)2a2+y-k2b2=1 where (h, k) is the center of ellipse, end-points…

Q: Which of the following equations represents an ellipse with X-intercepts ±3 and Y-intercepts ±2?

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Q: Find the equation of the ellipse that will just fit inside a box that is 12 units wide and 4 units…

A: See attached file for a step by step explanation.

Q: Find the equation of an ellipse whose minor axis is 6 and whose foci are located at (+8, 0). O + = 1…

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