Which of the following is the standard form of the ellipse 3x2 + 4y? - 36x + 32y + 160 = 0? (x-6) +4)² 3. (x-6) +4) = 1 3 (x+6) (y-4)² = 1 3 (x-6) y+4)² 16 4.

Q: The equation of an ellipse is given by the following. (x+3)2/25 + y2/4 = 1 Identify the…

A: Consider the equation of ellipse, x+3225+y24=1 Comparing the given equation of ellipse with standard…

Q: Find the general form of the equation of a hyperbola with vertices at (-2, 5) and (6, 5) and foci at…

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

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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: 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: Find the length of the major axis of the ellipse 9x2 + 2y2 = 32.

A: 9x2 + 2y2 = 32

Q: The center of the ellipse with the given equation 4(x – 5)2 + 3(y – 4)2 = 48 is

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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: 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

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Q: 13. Write the equation in standard form for an ellipse. Graph the ellipse. 4x2 - 16x + 9y2 + 54y +…

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Q: 17. What is the center of the hyperbola whose equation is [(x+3)2 / 9] - [(y-3)2 / 16] = 1?

A: The given equation of the hyperbola is of the type [(x-h)²/a²]-[(y-k)²/b²]=1.

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

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Q: What is the center of an ellipse 64x2 + 25y2 = 1600? a.2,3                                     b.…

A: Use the standard equation of ellipse  for finding the center.

Q: Express the equation of an ellipse 16x² +9y² – 64x-54y+1=0 in standard form. Hence, find the centre,…

A: The standard form of equation of ellipse is x-x02a2+y-y02b2=1 and eccentricity of ellipse is…

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: Find the envelope of the family of ellipses defined by the equation x2a2+y2b2=1 provided that…

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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: 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: What are the vertices of the ellipse whose equation is (x2)/9 + (y2)/4 = 1?

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Q: What is the equation of an ellipse with its center at (-2, 1), a major axis 16 units long, and…

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

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

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…

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Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

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Q: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

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Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: Express the equation of an ellipse 16x+9y-64x-54y+13D0 in standard form. Hence, find the centre,…

A: General equation of eclipse is x-h2b2+y-k2a2=1 centre of eclipse = ( h , k ) Vertices = (h,k+a) ,…

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

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Q: Determine the ends of the minor axis of the following ellipse: .(x+3)² (y+4)² = 1 16 25 O (-7, -4)…

A: Use ellipse concept

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

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Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

Q: Find the standard equation of the parabola opening to the left whose axis contains the major axis of…

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Q: Write the equation of the ellipse 16x^2+36y^2-128x+144y-176=0 in standard form.

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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: 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: Identify the general equation, as well as the coordinates of the foci of the following ellipse that…

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Q: 7. Find the equation of an ellipse whose ends of major axis at (-9.4) and (3, 4) and passing through…

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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: Write the equation of the hyperbola 25z – 16y + 150z + 64y- 239 = 0 in standard form %3D (2 - h) (y-…

A: Equation of hyperbola 25x2+ 150x-16y2+64y-239= 0 25( x2+6x)-16(y2-4y)= 239…

Q: What is the center of the ellipse with the equation (x-7)2+ (y+4)2 23. = 1? 16 25 a. (7,4) b. (-7,4)…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: 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: Express the equation of an ellipse 5x' +4y-40x+8y+64 =0 in standard form. Hence, sketch the ellipse.

A: NOTE: Hi! Thank you for your question. As per the honor ode, we'll answer one question in case of…

Q: write the equation into standard form of the equation of the ellipse 9x2+126x+4y2-32y+469=0

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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: which of the following is a covertex of the ellipse 2 Sx2+ 1642-100x + ICoy-1100-0?

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Q: The coordinates of the center of an ellipse defined by the equation 16x² +25y² + 160x – 200y+ 400 =…

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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.