7. Write the equation of the ellipse in standard form. 8x +32x + 4y – 8y = -4 (+2)2 4 (y+1)? =1 8 O (2-2)2 4 (y+1)² = 1 (z+2)2 (y-1)2 1 -2)2 (y-1)² 8.

Q: What is the general form of equation of an ellipse if its center is at (3,-1), a = 4, b = 3 and its…

A: The standard form of an ellipse is [(x – c1)2 / a2 ] + [(y- c2)2 / b2 ] = 1 Where (x, y) –…

Q: 6. What is the equation of the ellipse whose graph is shown below? (1,4) (7. 0) C(1,0) (4, -54 3 A)…

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

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A:

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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

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A: Given equation, 4x2+9y2+24x-18y+9=0                         ...(1)

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

A:

Q: 1. What is the equation of this ellipse? -5 --5 10 O (2+2)? (y+4)° 1 81 O 부+ (y 4) 1 -2)2 81 O + = 1…

A: Use the property of ellipse center and major and minor axis.

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: 5. Find the vertices and foci of the ellipse given by the equation. 4x +9y² - 32x–36y+64=0

A:

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)

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A: Standard form of an ellipse

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

A:

Q: 3. Classify the graph of the equation as a circle, parabola, an ellipse, or a hyperbola. (a) 16x² -…

A:

Q: 6. Find the center of the ellipse with equation 2x² + 3y² + 8x + 6y - 1 = 0 b. (2, -1) а. (2, 1) с.…

A: We will solve the problem.

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

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Q: Convert the equation 25x2 + 4y2 - 150x + 32y + 189 = 0 to standard form by completing the square on…

A: Given: The equation of ellipse as 25x2+4y2-150x+32y+189=0 To find: the standard equation of ellipse,…

Q: Write the equation of the ellipse 4x + 9y² + 72x + 108y + 612 = 0 in standard form. O (*+9)² +…

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

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Q: Find the equation of the ellipse shown in the graph. y 8- |(0, 6) 4 2 (-2, 0) (2, 0) -8 -6 -4 -2 2 4…

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Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

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A: topic - ellipse

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A:

Q: Write the equation of the ellipse 4x + 9y + 72x + 108y + 612 = 0 in standard form. O (e+9)² + (y+6)°…

A:

Q: The center of the ellipse with the given equation 4(x – 5)² + 3(y – 4)2 = 48 is %3D (-5, 4) (4, 5) O…

A: Solving the problem by finding the centre in standard form.

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A:

Q: What is the general form of equation of an ellipse if its center is at (3, 1), a = 4, b = 3 and its…

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Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

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Q: 10 a = 9+y 8 7 6 5 -8-7 -6 -5 4 -3 -2 -1 + b = 4 3 2- H -2 -3 -4 -5 -6 ܚ 7 -9 10 2 4 5 6 7 8…

A: Identify a and b for the ellipse with equation x2/a2 +y2/b2= 1

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

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

Q: Given the ellipse 16x2 + 25y2 – 64x – 50y – 311 = 0, determine its center. a. (1,2)             b.…

A: Note that the standard form of the equation of the ellipse is given by: (x-h)2a2+(y-k)2b2=1...(1)…

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Q: Find the equation of the ellipse whose graph is shown below. 2 1- (-1,0) -3 -2 2 -1 (0, -2) -2 O…

A:

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

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Q: 15. Find the standard form of the equation of the ellipse satisfying the following conditions.…

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Q: Let 49x + 25y 2- 294x - 250y- 159 = 0 (2 – h) (y – k)? = 1. - - then write the ellipse in standard…

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

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Q: Draw the ellipse with the equation: 2x^2+y^2+4x-9y=7.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: What is the standard form equation of the ellipse that has vertices (-1, –17) and (-1,7) and…

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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.

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

A: Given: x2b2+y2a2=1

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

A:

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…