What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x + 64x1x2 47x3 = 23? Transform it to principal axes. Give your answer in the form Q = 11y² + 12y. Order å; increasingly.

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

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Q: Identify and sketch the graph of the conic section.y2 + 8x + 6y + 25 = 0

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Q: What is the standard form of the parabola, y + 2x + 10y + 9 = 0, given in conic form?

A: Do some rearrangement in the equation of given conic to convert it in standard form of equation

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

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Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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Q: 9. Explain in your own words how to decide what kind of conic it is if you have the equation Ax? +…

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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: transform into standard form of hyperbola x^2-y^2+6x-4y-4=0

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

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

A: topic- algebra

Q: Trace the conic section 17x 12xy + 8y + 46x – 28y + 17 = 0 and find all of its properties. Also…

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Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

A: We find the slope of tangent to the given conic with the help of calculus .

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

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Q: 1- Sketch the following conic sections: a 0 2 -4y+8 -4x2 =

A: We have to sketch the following conic section

Q: Determine the distance between the foci of the following conic section: 16x2 + 9y- 64x 54y+1 = 0

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Q: For which values of a does the conic 3x^2 + 2y^2 − 16y + 12x =a, have at least one point?

A: Consider the given:…

Q: 1-Sketch the following conic sections: y2 - 4y +8- 4x2 = 0

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Q: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

Q: Determine the type of conic: 16. 2x2-4xy + 8y2 +7 = 0 17. 2xy-x + y-3 = 0 %3D %3D

A: The general equation of conics is given as Ax2+Bxy+Cy2+Dx+Ey+F=0, where A,B,C,D,E and F are real…

Q: Determine the length of the latus rectum of the following conic section: 16z + 9y? - 64.x- 54y+1 0 O…

A: 16x2+9y2-64x-54y+1=016x2-64x+9y2-54y=-116(x2-4x)+9(y2-6y)=-116(x2-4x+4)+9(y2-6y+9)=-1+64+8116(x-2)2+…

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

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Q: Q = 17x - 30x,x2 + 17x3 128 %3D

A: Evaluate the type of the conic section. -302-41717=-256<0 Thus, the conic is of elliptic type.

Q: For each of the following quadratic equations in x and y, determine which conic section it is.…

A: Let Ax2+Bxy+Cy2+Dx+Ey+F=0 is a quadratic equation.Parabola: If B2-4AC =0 AND A=0 OR C=0Circle: If…

Q: Standardize the conic whose equation is 7x2 + 4xy + 4y2 - 2x - 6y + 1 = 0.

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Q: Show that the “conic section” with equation x2 − 4x + y2 + 5 = 0has no points.

A: Equations for conic sections are obtained as the locus of points following one or a set of…

Q: 1- Sketch the following conic sections: Aa-. y-4y+8- 4x2 -0 b- y2 -4y-4x2 = 8 c- 3(y- s)2 - 7(x +…

A: Since, you have asked multiple questions , we will solve the first question for you. Also, the first…

Q: 2. Which conic section is represented by the équation 2x2 + 4x- y +9 = 0? O Hyperbola Ellipse O…

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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: 1- Sketch the following conic sections: 2-4y+8-4x2- b- y2 -4y-4x2 = 8 C- 3(y-s)2 -7(x+1)2 =1

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

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

A: On simplification, we get

Q: Show that the line b2xx1 - a2yy1 - a2b2 = 0 is tangent to the hyperbola b2x2 - a2y2 - a2b2 = 0 at…

A: Find dy/dx.Then find dy/dx at the point (x1,y1) by plugging x=x1 and y=y1

Q: O Reduce the equation x + 2ry +y +4 V2x - 4V2y = 0 to the standard form and hence %3D identify the…

A: The given equation is x2+2xy+y2+42x-42y=0

Q: 4. Classify the following conics as a circle, parabola, ellipse or hyperbola and explain why. a) 9x?…

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Q: Identify and sketch the graph of the conic section.x2 + 4y2 − 16 = 0

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Q: 2. Identify the conic section given by y² + 2y = 4x² + 3 Find its vertex/vertices and focus/foci.

A: We rewrite the equation as: This is an equation of a hyperbola.

Q: There is one point of intersection in the graphs of the conic (z + 1)² + (y + 2)² = 16 (y+ 2)° = 4…

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

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Q: Determine the type of conics for each equation using the discriminant. 20. 5x2 + 2x + 3y - 5 = 0 21.…

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Q: 1-Sketch the following conic sections:. ,2-4y+8-42 0 b- y2 -4y-4x2 -8 3 -s)2 -7(*+1 -1 a- C-

A: Since you have posted multiple questions we solve the first three sub parts of first question for…

Q: Identify the conic section and graph. (x-5)^2/100-(y+3)^2/64=1

A: We can compare the given equation with: So the given equation is a hyperbola.    Comparing we get:…

Q: Determine the type of conics for each equation using the discriminant. 27. y2-x-10y -3 0 28. x2-2y2…

A: Solution is given 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: Which of the following conic sections could be formed when a plane intersects both cones of a double…

A: Given.

Q: For the equation 9x + 4y - 54x-8y-59 = 0, classify the conic section, put the equation in standard…

A: Explanation: Given that,  9x2+4y2-54x-8y-59=0   Here we use the completing the square method in term…

Q: 5. Write the following equations in standard form and identify the corresponding conics a) x² – 4x +…

A: The given equations can be converted into standard forms by the method of completing square of x and…

Q: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 without using a rotation of axes.

A: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 A standard form of conic is given…

Q: 2. Find the equation of the hyperbola whose asymptotes are perpendicular to the lines 5x – 4y +9 = 0…

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Q: Which conic section is represented by the equation 9x2+4y2=36

A: Simple conic section problem......