For Exercises 31-34, the given equation represents a conic section (nondegenerative case). Identify the type of conic section. (See Examples 5 and 6) 31. a. 4x – 12xy + 6y + 2x – 3y – 8 = 0 32. a. -3x + xy – 4y + 2x – 4y – 4 = 0 b. 4x - 12xy + 9y + 2x – 3y – 8 = 0 b. -3x + 10xy – 4y + 2x – 4y – 4 = 0 33. a. x + 6ry + 4x = 3y - 2y + 10 34. a. x - 3xy + 12x = -6y² – 12y + 1 b. бу? - 3y = 8 – 2x – 4x2 b. -3x + 12x = 4y + 4

Q: Analyze this conic section to answer the questions below. (x- 4)2 y2 = 1 25 B. The asymptotes for…

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Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the…

Q: Identify and sketch the graph of the conic section.x2 + y2 + 4x − 2y − 11 = 0

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Q: Classify each conic section. 23) 2y + x + 8y + 11 = 0 24) x + y + 4 = 0 25) -x + 6x + y – 6 =0 26)…

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Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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Q: For Exercises 43–48, the equation represents a conic section (nondegenerative case). a. Identify the…

A: The general form of a conic section is given by the expression Ax2+Bxy+Cy2+Dx+Ey+F=0. The different…

Q: Here is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its focus…

A: Given y2-28x+16y-76=0

Q: The system of conics has two solutions. (z – 4) + (y+1)* = 9 (9+1) 1. +- 81 What are the solutions…

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Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

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Q: 20. Analyze this conic section to answer the questions below. *-2x-4y-11 0 What type of conic…

A: we have to find the following

Q: What is the standard form of the conic defined by x + 2y² – 8y = 0?

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Q: Find an equation for the conic whose graph is shown. y 15 10 X -15 -10 -5 5 10 15 - 10 - 15F

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Q: Identify and sketch the graph of the conic section.9x2 + 9y2 + 18x − 18y + 14 = 0

A: Given Data The equation is 9x²+9y²+18x-18y+14=0.   Arrange the equation 9x²+9y²+18x-18y+14=0 in the…

Q: Describe what kind of conic section is the graph of 5x2 − 4xy + 8y2 − 36 = 0. by using linear…

A: We need to find the nature of the conic section for  the graph of 5x2-4xy+8y2-36 =0.

Q: 12. 9x²-16y -90x+64y+17 = 0 | 2. 250-

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Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: (b) The equation 7x2 - 3xy + 5y² + 4x - 16y- 121 = 0 represents a non-degenerate conic. (i)…

A: We have to find the type of conic of given equation

Q: Analyze this conic section to answer the questions below. (x- 4) y? = 1 25 4 What are the values of…

A: Consider the equation  x−424−y225=1

Q: -6 4 -2 19 6 4 2 2 6

A: The standard form of the equation of a hyperbola with center (h,k)(h,k) and transverse axis parallel…

Q: Write the equation of the conic section in standard fc 14. 7x2 + 5y2 =70

A: To write the equation of the Conic section in standard form 7x²+5y²=70

Q: if B-4AC= 0, a(n) A nondegenerate conic section of the form Ax“ + Bxy + Cy + Dx + Ey + F= 0 is a(n)…

A: Given: To explain the correct option of the given statement as follows,

Q: For Exercises 5-8, the given equation represents a conic section (nondegenerative case). Identify…

A: Consider the given equation as 8x2-2y2-3x+2y-6=0

Q: Identify and sketch the graph of the conic section.9x2 − y2 + 54x + 10y + 55 = 0

A: On simplification, we get Now it is in the form of,

Q: 2. Suppose that the equation Ax + Bxy + Cy² + Dx + Ey + F = 0 represents a conic section…

A: The equation Ax2+Bxy+Cy2+Dx+Ey+F=0 represents a conic. If B2-4AC>0 , The conic represents…

Q: idleutify the conic Seetion from the equeition:. (1) 16y-an-36n –-964-36-0 2 () n* +y" -ux +loy-7 =0…

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Q: Identify and sketch the graph of the conic section.4y2 + 4x2 − 24x + 35 = 0

A: This is a equation of a circle. Convert it into the standard form. Divide the equation by 4 to get…

Q: 5. Write the equation of the following conic 12 11 10 4 3 2 -1 3 5 fo 11 12 -1 -2

A: The given conic is the ellipse with  1. Center (8,5)  2. Vertex1: (8,12) 3. Vertex2: (8,-2) 4.…

Q: 2. Suppose that the equation Ax + Bxy + Cy + Dx + Ey + F = 0 represents a conic section…

A: Suppose that the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 represents a conic section…

Q: Identify and sketch the graph of the conic section.x2 + 4y2 + 4x + 32y + 64 = 0

A: The given graph is,…

Q: Identify and sketch the graph of the conic section.

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Q: Identify and sketch the graph of the conic section.4y2 − 2x2 − 4y − 8x − 15 = 0

A: On simplification, we get

Q: Identify and sketch the graph of the conic section.16x2 + 36y2 − 64x − 36y + 73 = 0

A: We first complete the square to get the standard form

Q: what is the standard form of this conic section? 9x^2-4y^2-36x+8y-4=0    a. (x-2)^2 /2- (y-1)^2/9 =1…

A: Given equation is 9x2-4y2-36x+8y-4=0. To find the standard form of the given conic section.…

Q: Identify and sketch the graph of the conic section.16x2 + 25y2 − 32x − 50y + 16 = 0

A: On simplification, we get Now it is in the form of Therefore it represents an ellipse.

Q: 1. Write the equation in standard form by completing the square, and identify the conic section it…

A: (a + b)2 = a2 + 2ab + b2 a. 4x2 - 8x - 3y2 + 12y + 4 = 0     (2x)2 - 2(2.2x) - (sqrt(3)y)2 +…

Q: -8 -6 -4 -2 8 19 41 2 2 4 19 2 4 6

A: Given Graph:-

Q: In Exploration 2.3.2 you were asked how to determine which conic section is generated given the…

A: Conic sections : Circle, Parabola, Ellipse, Hyperbola

Q: IV. Name the conic section, based on the equation. x²+y +333x+444y+777 =0 3x + 2y? +12x- 4y+2=0…

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Q: find the key values for a conic a. y^2 - 8x - 4y + 4 = 0   b. 6x^2 - 4y^2 -12x-8y-22=0   c. x^2…

A: a y2-8x-4y+4=0y2-4y+4-8x=0y-22=8xwhere y=y-2 , a=2which is the general form of a parabolavertex…

Q: I noticed that depending on the values for A and C,assuming that they are not both zero, the graph…

A: Depending on the values for A and C, assuming that they are not both zero, the graph of Ax2 + Cy2 +…

Q: Given the following equation: 2.a2 – 4.xy – 20z + 2y? + 2yz + 52² – 10x + 6y – 2z – 7 = 0,…

A: Given equation is 2x2-4xy-2xz+2y2+2yz+5z2-10x+6y-2z-7=0 Solution a: Since general form of conic is…

Q: Identify and sketch the conic: 4x2 - y2= 4 b. Identify and sketch the conic: 9x2 +25y2+18x-108y…

A: Consider the conic  a.    4x2 - y2= 4 b.    9x2 +25y2+18x-108y -116 = 0

Q: Identify and sketch the graph of the conic section.x2 − 6y = 0

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Q: Use 0 = 30° to write -=1 in the x'y´ plane. The- conic. O 18(x)² +16/3x'y – 2()² – 88=0; ellipse…

A: Here we have to use θ=30° to write x24-y29=1 in the x' y' plane. and identify the conic.

Q: I graphed 2x2 - 3y2 + 6y + 4 = 0 by using the procedure for writing the equation of a rotated conic…

A: The given equation is  2x2 - 3y2 + 6y + 4 = 0 . Note that there is no xy terms in the above…

Q: Identify and sketch the graph of the conic section.y2 − 6y − 4x + 21 = 0

A: Consider the given equation whose type of conic section is to identify:

Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: Given data:     The given equation is: x2-3y2=6 The given angle is φ=60°.     The expression for the…

Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

Q: Which of the following equations yields to a non - degenerate conic? A 3x2 + 3y² - 12x+ 12y-6=0 9x2…

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Q: Identify and sketch the graph of the conic section.

A: The given equation is x236-y249=1