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: Exercises 98–100 will help you prepare for the material covered in the first section of the next…

A: 98 (a) Does (-5,-6) satisfy 2x - y = -4 Take (x,y) as (-5,-6) and substitute in the given equation…

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Q: x²+ 4 1 1 25 4 || +

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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: Match each equation to the conic section it creates. (x+5)² 25 a. + (y-2)² 4 b. 3x³ + 4y = 25 d. = 1…

A: a. The standard equation of a ellipse is (x+x0)2a2+(y+y0)2b2=1.So (x+5)225+(y-2)24=1  is equation of…

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 new representation of 2x² + 8xy - 1 = 0 by describing it in a system with axes rotated by…

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Q: For Exercises 31-34, the given equation represents a conic section (nondegenerative case). Identify…

A: (a) The general representation of a conic is given by : Ax2+Bxy+Cy2+Dx+Ey+F=0   To use the graphing…

Q: Write the equation in standard form 4y2-9x2-18x-8y-41=0

A: 4y2-9x2-18x-8y-41=04y2-8y-9x2-18x-41=04y2-2y-9x2-2x=41y-129-x--124=1y-1232-x+1222=1 The equation…

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: 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: -8 -6 -4 19 4 2 19 ∞

A: Graph of the right open parabola is given, we have to find its equation

Q: Find the values of integers,, and c that will make the hyperbola -9x² + 4y² + ax +by+c= 0 pass…

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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…