Determine if 4x² + 9y? = 1 is an ellipse. Ellipse O Not an Ellipse If it is an ellipse, write the equation of the ellipse in standard form (x – h)? (y – k)? + = 1. If it is q2 not an ellipse, leave the rest blank. Where: h = k = a = b =

Q: Q#03: a. Write an equation of an ellipse whose major axis is vertical, with the center located at…

A: The equation of an ellipse centered at (h, k) is (x−h)2a2+(y−k)2b2=1. From given information center…

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: 1. 49x2 + 25y? + 98x + 50y - 1131 = 0.

A: We will find all the above as shown below

Q: Rewrite the equation of the ellipse 9x2 + 4y? + 36x – 24y + 36 = 0 in standard form and identify the

A: The standard equation of an ellipse with the center at (h,k), and the major and the minor axes being…

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: Convert the equation 36x2 + 9y2 - 216x = 0 to standard form by completing the square on x and y.…

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Q: 8 -7 -6 -4 -3 to it

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Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y2 + 4x = 36 and…

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Q: Convert the equation 4x2 + 9y2 - 32x + 36y + 64 = 0 to standard form by completing the square on x…

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Q: Convert the equation: 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and…

A: Given: 4 x2+y2-24x+6y+9=0 To determine: Standard form of equation & graph of ellipse &…

Q: Determine if 36x? – y? = 36 is an ellipse. Ellipse Not an Ellipse (x – h)? (y – k)? If it is an…

A: we have to identify the given equation is an ellipse or not

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: Draw the ellipse with the equation: 2x2 + y² + 4x – 9y = 7.

A: First convert this equation in standard form.…

Q: Determine if 4x? + 9y² – 16x + 90y + 205 = 0 is an ellipse. ONot an Ellipse Ellipse, we can write…

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Q: Determine if 4x² + 9y? = 1 is an ellipse. O Ellipse O Not an Ellipse (2 – h)?, (y – k)² If it is an…

A:

Q: find the length of the major axis and the length of the minor axis of each ellipse. x2 - 4x + 9y2 +…

A: Given equation of ellipse is: x2 - 4x + 9y2 + 54y + 76 = 0 Then rearranging the terms we get,…

Q: Determine if 252? + 16y² = 1 is an ellipse. O Not an Ellipse Ellipse, we can write the equation of…

A: Given equation can be written as Which is the equation of ellipse. Comparing it with  We get

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

A: We have to find equation in standard form of the ellipse.

Q: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

A: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

Q: find the length of the major axis and the length of the minor axis of each ellipse. 2x2 + 7y2 = 28

A: Ellipse is basically a plane curve around 2 focal points such that for all points on the curve, the…

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: Write the standard equation of an ellipse whose general equation is x² + 4y² + 6x - 16y + 17 = 0.…

A: Standard form of an ellipse with vertex at (h,k) is given by, (x-h)²/a² + (y-k)²/b²= 1

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

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

A: Given, The foci of the ellipse  F1 (0,8) and F2 (0,-8) Sum of distance of any point from the foci =…

Q: Determine if 9æ? + 25y² = 225 is an ellipse. O Ellipse O Not an Ellipse (x – h)² (y – k)² If it is…

A: Consider the given equation: 9x2+25y2=225Divide the above equation by…

Q: A wire has a shape of an ellipse described by 4r2 + y? = 8. The tempe

A: Given, a wire has a shape of an ellipse described by                                    4x2+y2=8.…

Q: Determine if 36x² 36 is an ellipse. Ellipse O Not an Ellipse (x – h)² (y – k)² If it is an ellipse,…

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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: Determine if 9x + 25y = 1 is an ellipse. %3D Ellipse Not an Ellipse (y – k)? If it is an ellipse,…

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Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

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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 equation of the ellipse x2 + 2x +4y² - 24y = -32, then find the rtex, length of the major…

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

A: Given

Q: Graph the ellipse and determine the foci. 36x2 + 72x + 49y2 - 196y - 1532 = 0

A: Graph the ellipse and determine the foci. 36x2  + 72x + 49y2 - 196y - 1532 = 0

Q: Q2) Put the equation (3x2 + (y – 2)2 = 3) in standard form and sketch the ellipse

A:

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: Q9: Show that in an ellipse b2 = a² (1 – e? ).

A:

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: Complete the square to determine whether the equation represents an ellipse, a parabola, a…

A: x2+16=4y2+2x On simplification, we get x2+16=4y2+8x⇒x2-8x+16-4y2=0⇒x-42-4y2=0⇒x-424-y-021=0

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: 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: 2. Write the equation into the standard form of the equation of the ellipse and sketch the ellipse:…

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Q: Determine if 25a² + 36y? = 900 is an ellipse. O Not an Ellipse Ellipse, we can write the equation of…

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Q: 3. Determine whether an ellipse exists if it has an equation of 4x2 +9y2-24x + 36y - 36 = 0. %3D

A: Here we have to show the given expression is ellipse or not Where the expression is as…

Q: Determine if 4æ? + 25y² = 1 is an ellipse. Ellipse O Not an Ellipse (x – h)? + a² (y – k)? If it is…

A:

Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

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

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.