Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 2x2 + 4xy + 2y2 + 5/2x + 2v2y + 9 = 0 (a) Identify the resulting rotated conic. O parabola ellipse hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) 4x p + 7xp – 3yp + 9 = 0 |

Q: (x+5)? (v+6)? = 1 100 36

A: The given conic equation is,(x+5)2100+(y+6)236=1

Q: state the type of conic section represented by the equation. Then, graph each equation. Please show…

A:

Q: tandard form

A: Introduction: The center, vertices, and asymptotes of a hyperbola totally determine its graph. When…

Q: 16 where

A: Given that  The parabola  u=v^2/16-4

Q: Analyze each conic.

A: x2+36y2-2x+288y+541=0 On simplification, we get…

Q: Write the equation of the hyperbola in standard form. 11x - 2y + 66x – 4y + 75 = 0

A: Given: To write the equation of a hyperbola  in standard…

Q: Ay 3-

A:

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: Atoy train moves around a circular track, as represented by the figure below. Toy Train The path of…

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Q: Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether…

A: The equation is given as,

Q: Identify the quadric with the given equation and give its equation in standard form. x2 + y2 + z2…

A: The given quadric equation is, One has to determine:(i) identify the equation(ii) write in standard…

Q: (Б) 10 F10 4,0 10 (у— А)2 (х - с? B2 D²

A: Solution:- The labelled figure of above question is given below.

Q: Write an equation of the parabola in intercept form. AY (3, 4) 4 (4,0) 8X (2, 0) An equation of the…

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Q: A semielliptical arch supports a bridge that spans a river 20 yards wide. The center of the arch is…

A:

Q: A) Identify the center and radius of each equation below. Note: Ifr² is not a perfect square then…

A: A circle is a two dimensional shape and it is closed curve. A set of all the point are at the same…

Q: Find the length of the major and minor axes of the ellipse. 4x²+12y² 48 -

A:

Q: Find the focus of the parabola. -x- 6x+3y- 15=0 OD

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result:  Focus…

Q: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

Q: 12. Write each equation in standard form. Identify the related conic. 4x + 8y-8x +48y+44 0

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.