Find the equation of an ellipse satisfying the given conditions. Foci: (-2, 0) and (2, 0); length of major axis: 12

Q: Find the standard form of the equation of the ellipse satisfying the given conditions, Foci: (0,…

A: Consider the given information.Foci = (0,±3) and Vertices =(0,±6)   The standread equation of the…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions.…

A: Given : vertically oriented ellipse as foci is (0, -7) and (0, 7)  To find : Equation if ellipse

Q: Find the standard form of the equation of the ellipse and give the location of its foci.

A: Consider the given figure: It is an ellipse with center origin.

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (±5, 0), length of major…

A: To find an equation for the ellipse that satisfies the given conditions. Given:- Foci: (±5, 0) and…

Q: Find the standard form of the equation of the ellipse and give the location of its foci.

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Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: Given that vertices of ellipse V=±8,0  and focii=±5,0We know that if ±a,0 be vertices of ellipse and…

Q: Find the equation of the ellipse. Then find its foci. 1. 2.

A: Given:

Q: Write the equation of the ellipse in standard rectangular form that has foci at ( 2 , − 2 ) a n d (…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (-2,0),…

A: Given:

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

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(±√15, 0), vertices:…

A: The general equation of an ellipse with its major axis parallel to x-axis is given as x2a2+y2b2=1 .…

Q: An equation of an ellipse is given. 7x^2 + y^2 = 49 Determine the length of the minor axis.

A: The equation of an ellipse is of the form x2a2+y2b2=1if a>b…

Q: Find the standard equation of an ellipse and sketch ( x-3)²/4 + (y+1)²/9=1

A: Standard form of an ellipse with center (h, k) and major axis is parallel to y axis :…

Q: Graph the ellipse and give the location of its foci.

A: We have the given equation as (x-4)24+y225=1 It can also be written as (x-4)24+(y-0)225=1   the…

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

A: Given :-  An equation for the ellipse that shares a vertex and focus with the parabola y2 + 4x = 36…

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: Find the center, vertices, and foci given the following equation of an ellipse. (x – 3)2, (y- 9)² |…

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Q: Find the equation of the ellipse in general form given the condition: The sum of the distances from…

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Q: Graph the ellipse and locate the foci: y2/25 + x2/16 = 1

A: Given: y225+x216=1 we know that standard equation of an ellipse is given by x2a2+y2b2=1 if b2>a2…

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

A: 4x2+y2-24x+6y+9=0

Q: Find the equation of an ellipse satisfying the given conditions. Foci: (-5, 0) and (5, 0); length of…

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Q: Given an ellipse with the equation x2 y² = 1, the distance between the foci is 32 36 A. 2 units B. 3…

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Q: Find the standard form of the equation, center, vertices and foci of the ellipse. Sketch its graph,…

A: Answer and explanation is given below...

Q: Graph the ellipse and give the location of its foci.

A: Consider the provided ellipse, x225+y-2236=1 Graph the ellipse and give the location of its foci. We…

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6- 4- 12…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +-square root…

A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a<b)Here focus…

Q: Find the center, the foci, the vertices, and the eccentricity of the ellipse with general equation:…

A: The general equation of an ellipse centered at (h,k), and with major and minor axis of length 2a and…

Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

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Q: Graph the ellipse (x - 3)2 + 9(y + 2)2 = 18 and give the location of its foci.

A: the given equation of ellipse is  (x-3)2+9(y+2)2=18

Q: Graph the ellipse, noting center, vertices, and foci. 2x2 + 3y2 – 12x + 12y + 6 = 0

A: The given equation of the ellipse is: 2x2+2y2-12x+12y+6=0 That can be written as:…

Q: Sketch and determine the center, foci and vertices of the ellipse with an equation of x? (y-4)? = 1.…

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Q: Find the equation of the ellipse in general form given the conditions: The foci is 3 units to the…

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Q: Graph the ellipse (x - 4)2/9 + (y + 2)2/25 = 1 and give the location of its foci.

A: Given: x-429 + y+2225 = 1 To find: Location of the foci and to graph the ellipse.

Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

A: The equation of ellipse is given as , x216+y264=1 find coordinates of center , vertices ,…

Q: Graph and determine the coordinates of the foci, the vertices, the straight side and the…

A: x2+2y2-2x+8y+5=0⇒x2-2x+2y2+8y=-5⇒x2-2x+1+2y2+4y=-5+1⇒x-12+2y2+4y+4=-4+8⇒x-12+2y+22=4⇒x-12+2y+224=1⇒x…

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (+4, 0), vertices: (+5,…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +V20), vertices:…

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Q: Find the equation of the ellipse with the following properties. The ellipse with foci at (4, 0) and…

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Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.

A: x-3216+y+429=1 Comparing with x-h2a2+y-k2b2=1, we get h=3,  k=-4,  a2=16  &  b2=9⇒h=3,  k=-4,…

Q: Find the standard form of the equation of the ellipse satisfying the following conditions. Vertices…

A: Major axis is parallel to y axis. So the standard form will look like:

Q: Given the ellipse whose equation is 16x^2+49y^2+96x-196x-444=0. Locate the center, vertices,…

A: We will solve the problem

Q: Rewrite the equation of the ellipse in standard form and graph it below by dragging the center,…

A: The given equation of ellipse is 25x2+150x+y2-8y+216=0. Rewrite the ellipse in its standard form as…

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: Write the standard equation for the ellipse with the following conditions: Foci: (0, 2) and (0, 8)…

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…