For Exercises 5-8, the given equation represents a conic section (nondegenerative case). Identify the type of conic sectio (See Example 1) 5. a. 8x? – 2y² – 3x + 2y – 6 = 0 6. a. -5x + 8y + 4 = 0 b. — бу? + 4х — 12у — 24 3 0 c. -9x – 4y – 18x + 12y = 0 b. 3x + 3y – 4x + 2y – 8 = 0 c. -2x + y – 4y + 1 = 0 7. a. 0.1x + 0.6x – 1.6 = 0.2y – 0.1y? 8. а. бх + 3х + 10y %3D 10y? +8 b. 2x – 7xy = -y² + 4x – 2y – 1 b. Зx + 18ху %3D 5х + 2у + 9 c. 8x + 2y = y² + 4 с. 4х + 8x — 5 %3D — у? + бу + 3

Q: What type of conic section is defined by the equation x² + 2xy + 3y² +6x + 3y - 1 = 0?

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Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

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Q: section

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Q: x²+ 4 1 1 25 4 || +

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Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: 15. x2 - 8x + 2y + 10 = 0

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Q: Specity the standot form of the conic, its conter and the equa tions of its axes, given by the…

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Q: Graph the conic section 2x² - 12x - y² + 6y+26=0 by completing the square.

A: The given equation is .The aim is to sketch the graph of the conic section.

Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 +…

A: In this question we have to solve the following question.

Q: x? + y? = 13 x2 = 1 16 4

A: The given equations are: From equation (i), we get Substituting this value in (ii), we get

Q: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

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Q: Find a rational point on the plane conic 2x2+y? = 6 other than the points (+1,±2). Show all your…

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Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

Q: (b) Find for what value of the equation 12x²+36xy + y² + 6x + 6y + 3 = 0 represents a pair of…

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Q: Graph the conic section. 36x? - 4y? - 216x +24y + 144 = 0 O A. OB. Oc. OD.

A: Given: 36x2-4y2-216x+24y+144=0

Q: Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) and (1,2).…

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Q: Solve conic equation

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Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

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Q: 42 - 8r - 16,

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Q: Name the conic section. Do not graph

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: 4. 3x2 +6x+ 4y = 18 5. 7x2 +3y2 – 14x + 12y = -14 6. -4x2 + 3y² + 24x – 12y = 36 %3D %3D %3D

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: (x-10)² (y-2)² + 144 36

A: Given query is to find the general conic form.

Q: For each equation, decide which type of conic section each equation represents (parabola, ellipse,…

A: To identify the type of conic section observe the given equation,Circle: Both x2 and y2 is present…

Q: Consider the conic section described by the equation 6x^2 -4xy +9y^2 -20x-10y-5. Find the associated…

A: Consider the given equation of conic section, 6x2-4xy+9y2-20x-10y-5=0 The associated quadratic form…

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…