Identify the equation without applying a rotation of axes. 4x2-8xy+4y2-3x+6=0

Q: Identify the equation 10x2 + 24xy + 17y2 - 9 = 0 without applying a rotation of axes.

A: We have to identify the equation  10x2 + 24xy + 17y2 - 9 = 0 without applying a rotation of axes.…

Q: Find a polar form of the equation. x2 - y2 = 36

A: Given equation, x2-y2=36

Q: 1. Put the following equations in standard form and find the center point and the radius: a) x-2x+y…

A: Given that

Q: Convert the equation to polar form. y = 6x2

A: The given equation is y = 6x2.

Q: what is the directrix of this? (x-4)²=-24(y-2)

A: The given equation is  (x-4)2=-24(y-2)

Q: Write each equation with polar coordinates a) x-y=5  b) x2+ y2 = 6x

A: Convert rectangular coordinates into polar coordinates

Q: Find the polar coordinates, 0s0<2x and r20, of the following points given (a) (3, 3/3) (b) (- 2/3,…

A:

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for ( a(t)…

A:

Q: Identify the equation 5x2 - 2xy + 5y2 - 12 = 0 without applying a rotation of axes.

A:

Q: Write the appropriate rotation formulas so that in a rotated system the equation 6x2 - 6xy + 14y2 -…

A:

Q: Write the equation 23x2 + 26√3xy - 3y2 - 144 = 0; θ = 30° in terms of a rotated x′y′-system using θ,…

A: Given Data The equation is 23x²+26√3 xy-3y²-144=0. The angle is θ=30°.   Put the value in…

Q: Eliminate the parameter t to find a Cartesian equation for: 3D² y = 3 + 5t The resulting equation…

A: Given that: x=t2…

Q: D) Find the parametric and symmetric equations of the line through the points(1, and (-5, 4, 2).

A: Given query is to find the equation of the line.

Q: Write the appropriate rotation formulas so that in a rotated system the equation has no x′y′-term…

A: Given, 3x2 - 10xy + 3y2 - 32 = 0. It is of the form Ax2+Bxy+Cy2+Dx+Ey+F=0   On comparing we get,…

Q: Rewrite the Cartesian equation y=2x2y=2x2 as a polar equation

A:

Q: Write the appropriate rotation formulas so that in a rotated system the equation 11x2 + 10√3xy + y2…

A: Given Data The equation is 11x2+103xy+y2-4=0.   Compare the equation 11x2+103xy+y2-4=0 with general…

Q: If 4y = -3x? – y² then find at the point (1, –-3) in simplest form. %3D Answer: Submit Answer

A:

Q: Question3) Rotate the coordinate axes such that the coefficient of xy term in the equation has to be…

A: Solution:- step-by-step solution of the above equation is  given below. The given equation is…

Q: Which of the following shows the coordinates of the given point after a rotation of 180° about the…

A: This is a simple question based on geometry which could be solved by using basic knowledge of the…

Q: (x-1)2 (y+2)? What are the endpoints of the conjugate axis of 25 - 36 O (1 ± 5, –2) O (1, -2 ± 6) O…

A:

Q: Rewrite the equation in a rotated x′y′​-system without an x′y′​-term. Use the appropriate rotation…

A: Consider the given equationx2+xy+y2-19=0.the general form of cartesian conic equation…

Q: Which transformation of the accompanying trapezoid will carry it onto itself? Answers A -D A Ty-x 0-…

A:

Q: Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form.…

A: xy-1 = 0  xy = 1  So we write this is xy = 12 Or      xy = c2 Now to eliminate the term xy from…

Q: Write the appropriate rotation formulas so that in a rotated system the equation has no x′y′-term…

A: Given equation is 34x2-24xy+41y2-25=0. x=x'cosθ-y'sinθ, y=x'sinθ+y'cosθ. Compare the above equation…

Q: Find the parametric equation of the line joining the pointsA(-5,-3,0) and B(7,1,4)

A:

Q: ASolve the equation 4x +20= 0 and write the resulting solution in the polar form, rZ0.

A:

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for S¤(t) =…

A:

Q: Q3) find the direction of A= 4i + 3/ + 12K (1) point

A: From the given problem:   A=4i+3j+12k   As we know that the direction of the vector is:   n^=A→A…

Q: Find the equations af the rotations about the point (2, 3) at an angle e = 180°. a- x' = x-4 ; y' =…

A: We hae to find the rotation about the point at an angle of 180°.

Q: find the rotation equation that would eliminate the xy-term 32x2 - 48xy + 18y2 - 15x - 20y = 0

A:

Q: the Föllówing equation, identify the coordinates of the center an (x - 3)2 + (y + 2)? = 81

A: Comparing with standard form of equations of circle,

Q: Write the equation in polar coordinates. x² + y2 = 3D8× x8.

A:

Q: Write the equation 23x2 + 26√3xy - 3y2 - 144 = 0; θ = 45° in terms of a rotated x′y′-system using θ,…

A:

Q: [-1 0 Use 3 to reflect over the y-axis. Identify the transformed -4 1 parallelogram.

A:

Q: identify the equation without applying a rotation of axes. 4x2-8xy+4y2-3x+6=0

A: Consider the provided equation:

Q: Find a polar form of the equation. x² + y² = 4

A:

Q: An airplane is traveling in the direction 30° west of north at 700 km/hr. Find the component form of…

A: Question is solved.

Q: Write the appropriate rotation formulas so that in a rotated system the equation has no x′y′-term…

A: Equation in general form, Ax2+Bxy+Cy2+Dx+Ey+F=0 Where, x=x'cosθ-y'sinθ and y=x'sinθ+y'cosθAnd…

Q: The general second-degree equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, B ≠ 0 can be rewritten as an…

A: The axes of a co-ordinate system can be rotated by keeping the origin same. This rotation is useful…

Q: Identify the equation without applying a rotation of axes. 2 10x² -8xy + y² +9x+3y-6=0

A: Given, 10x2-8xy+y2+9x+3y-6=0

Q: Write the appropriate rotation formulas so that in a rotated system the equation has no x′y′-term…

A: The axes of system can be rotated by some acute angle θ by keeping the origin same. Let xy-system is…

Q: Write the appropriate rotation formulas so that in a rotated system the equation has no x′y′-term.…

A:

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for [x(t) =…

A:

Q: Eliminate the parameter t to find a Cartesian equation for 11 t -19 - 2t The Cartesian equation has…

A: A detailed solution is given below.

Q: Convert the equation u - 5r +4 into polar formn ExpresS VOur answer as an equation r(6A)

A:

Q: Find a polar form of the equation. x² + y2 = 49

A:

Q: The polar form of the Cartesian coordinates (-2,-2) is Select one: - (2vz, ) a. (2v2,-) (2vz, ) 5n…

A:

Q: E. Find the cartesian equation of the following:

A: Given that: 94sin(2θ)=r2