Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 9x2 – 14xy + 9y2 – 48 = 0 (a) Identify the resulting rotated conic. O ellipse O hyperbola O parabola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) (xp)² + 10(yp)² – 48 = 0 Need Help? Read It

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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

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Q: Match conic section with one of these equations: x2/4 + y2/9 = 1, x2/2 + y2 = 1, y2/4 - x2 = 1, x2/4…

A: Given a figure and four equations as follows ;  x24 + y29 = 1        [Equation 1]x22 + y2 = 1…

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.x2 + 2xy + y2…

A: Compare the given equation with the standard form: Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 A = 1, B = 2, C…

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

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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: Determine the type of conic, angle of rotation needed to eliminate the XY-term to the nearest degree…

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: Find an equation for the conic whose graph is shown. y 10 5 K11, 0) 10 15

A: Given,

Q: Determine the type of conic section, give its equation, and clearly graph with coordinates: 9x2 +…

A: According to the given information it is required to determine the type of conic section and graph…

Q: Select the conic section represented by the equation. 5x 2 + 9y 2 - 80x + 54y + 221 = 0 point…

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Q: Identify the conic represented by the equation x2 + 16y2 - 160y + 384=0 without completing the…

A: we know that equation ax2+by2+2gx+2fy+2hxy+c=0 will represent  ellipse, if h2<ab,…

Q: 2. Find the required information and graph the conic section: y= 2x - 8x+4 Classify the conic…

A: Consider the given conic section y=2x2-8x+4

Q: Write the general conic form equation for a parabola with vertex at (2, 2) and focus at (1/2, 2). y…

A: Given problem:- Write the general conic form equation for a parabola with vertex at (2, 2) and focus…

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: Given quadratic equation: 11x2-6xy+11y2-45=0 The general form is given by: Ax2+Bxy+Cy2+Dx+Ey+F=0 a)…

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: Identify the conic section given the general form of its equation: 26x2-5y2-61x +361y-1072=0 a.…

A: 26x2-5y2-61x+361y-1072 = 0 is the given equation.

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: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.7x2 − 6√3xy +…

A: Given that, 7x2 − 6√3xy + 13y2 − 64 = 0 Compare the given equation with ax2 + bxy + cy2 + dx + ey +…

Q: Identify the type of conic from the discriminant.* x²+2xy +y² + /2x-/2y-2=0, 6=45° ANSWER: BIlank 1…

A: Given problem Given that   General equation of the conic : Ax2+Bxy+Cy2+Dx+Ey+F =0 Discriminant is…

Q: x2 + y2 - 200x - 52500 = 0,

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Q: III. Give what is asked. 6. Write the general quadratic equation for which A=2, B=0, C=0, D=-4,…

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Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 circle hyperbola line…

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Q: Identify and sketch the graph of the conic section.4x2 + y2 + 32x + 4y + 63 = 0

A: Now it is in the form of

Q: Determine the equation of the directrix of the following conic section: y? = -18a O y = -9/2 O x =…

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Q: 3 -6 -4 사업 4 2 -2 19 6 ly 2 4 6 8

A: Given,

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: + 2x + y² – 2y = 2

A: NOTE: Refresh your page if you can't see any equations. . add 1 to both sides

Q: Identify the type of conic from the discriminant. y-2 = 0.0=45" ANSWER: Blank 1 Blank 1 Add your…

A: Check discriminant b^2-4ac is less than zero, greater than zero and is equal to zero.

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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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: Find an equation for the conic whose graph is shown. y F (6, 0)

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Q: e the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic…

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Q: 2. Rotate the coordinate axes to remove the xy-term. Then identify the type of conic and sketch its…

A: (2)  (a) the given equation is x2+4xy-2y2-6=0. Task: To rotate coordinate axes to remove the x-y…

Q: Q;:Draw the graph of the conic section 5x2 + 4xy + 2y² = 36. %3D

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Q: Identify the type of conic section from the equation: y^2 - 4y - x^2 6x =12

A: We have been given the equation  y2-4y-x2+6x=12

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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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: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 line hyperbola circle…

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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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: And identify what conic section  -x^2+4y^2-8y-96=0

A: Given -x2+4y2-8y-96=0

Q: A. Write this equation in standard form: ? – 4y + 6x- 8y +1= 0. Show all of your work. B. Which type…

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Q: Find an equation of the conic section that satisfies the given condition- Find an equation of the…

A: Explanation of the answer is as follows

Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

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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…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.