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

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

A:

Q: Identify the conic section that equation 16x^2-96x+288=9y^2 represents and find either: a) it’s foci…

A: We use completing square method to convert it into standard form

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: Identify the equation without applying a rotation of axes. 6x² - 10xy + y² +10x+7y-1=0 Choose the…

A:

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

A:

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

A: Given - The quadratic equation 9x2 - 14xy + 9y2 - 48 = 0 To find - Use the Principal Axes Theorem to…

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

A: Given quadratic equation is 10x2-18xy+10y2-45=0

Q: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

A:

Q: ind of an equation of a hyperbola in the form x2 / M

A: Given that:                               Centre of the hyperbola = Origin=(0, 0)Length of…

Q: Identify the conic represented by the equation 4x2 - 9y2 - 8x + 12y - 144 = 0, without completing…

A: 4x2-9y2-8x+12y-144=0 Comparing with Ax2+By2+Cx+Dy+E=0, we get A=4, B=-9, C=-8, D=12 & E=-144

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

A:

Q: Solve the components of the given equation of conic sections and sketch the graph а. х — -y2 +1 b.…

A:

Q: Which conic section is represented by the equation 9x2 + 4y = 36- O Circle O Hyperbola O Ellipse…

A: Given equation is 9x2+4y2=36............(1)

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

A: Given equation  9x2-10xy+9y2-46=0 The conic section with equation ax2+bxy+cy2+dx+ey+f=0 the…

Q: Identify the conic represented by equation 4x2 - 9y2 - 8x + 12y - 144 = 0 without completing the…

A: Given 4x2 - 9y2 - 8x + 12y - 144 = 0

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

A:

Q: -6 4 -2 19 6 4 2 2 6

A: The standard form of the equation of a hyperbola with center (h,k)(h,k) and transverse axis parallel…

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

A:

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

A:

Q: II. Find the standard form of equation of hyperbola and determine the center, transverse axis, a and…

A:

Q: 7x2 - 4xy + 7y² - 25 = 0 (a) Identify the resulting rotated conic. O ellipse parabola O hyperbola…

A: This is a problem of linear algebra, linear transformation.

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

A: ANSWER:

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

A: If we rotate the axes through an angle θ then old co ordinate of a point p(x,y) will change to…

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

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

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

A:

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

A:

Q: Write the equation in standard form by completing the square, and identify the conic section it…

A:

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

A:

Q: Find an equation for the conic that satisfies the given condition Parabola, Vertex (0, 0), Focus (0,…

A: We have to find out parabola equation

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

A:

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

A:

Q: -8 -6 -4 19 4 2 19 ∞

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

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

A:

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: Let (0,0) represent a water fountain which is located in a city park. Each day Jade runs through the…

A: Given,x2+y2-200x -52500 = 0x2- 2X100X x +1002 -1002+y2 -52500 = 0x2-200x+10000+y2 -62500 =…

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

A: Consider the given information: The given quadratic equation is, 10x2-6xy+2y2-46=0

Q: -8 -6 -4 -2 8 19 41 2 2 4 19 2 4 6

A: Given Graph:-

Q: For Exercise, an equation of a degenerate conic section is given. Complete the square and describe…

A: Given equation is:Completing the square:Since the equation has x and y squared terms on the left and…

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

A:

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: 6. Rearrange the equation -5x + 3y - 40x-42y+52 0 into the standard form for a hyperbola. %3D babel…

A:

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

A:

Q: (b) The equation 7x2 – 3xy + 5y² + 4x – 16y – 121 = 0 - represents a non-degenerate conic. (i)…

A: (i) If a conic Ax2+Bxy+Cy2+Dx+Ey+F=0 is non degenerate then the following condition holds.

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

A:

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

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.