Which of the following shows the coordinates of the given point after a rotation of 180° about the origin? Y. 3 -3 -3- (0, 3) (3, 0) (0, -3) O (-3, 0)

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: The general form of quadratic equation is  Ax2+Bxy+Cy2+Dx+Ey+F=0, B≠0 The angle is  cot2θ=A-CB The…

Q: what is the image of the point C1-2) ander the rotation about the. point (2,3) at an angle e - 1800…

A: When the image of point A is formed by rotating by 180⁰ about point P. Then the point P is the mid…

Q: rotation 180° about the origin

A: Since rotation of a point P(x,y) About origin 180° will give us P'(-x,-y)

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: We have to determine the appropriate rotation formulas so that new equation contains no xy-term:…

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: Definition used -                                Ax2+Bxy+Cy2+Dx+Ey+F=0 , B≠0…

Q: Suppose parametric equations for the line segment between (5, 3) and (3, – 8) have the form: S¤(t) =…

A:

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A: Given equation is 16x2+8xy+8y2-13=0 Angle of rotation is ϕ to eliminate the xy term. The new…

Q: What do I do after substituting the expressions for x and y from the rotation formulas into the…

A: The rotation formulas for co-ordinates are if the coordinate is (x,y) then rotate the axis into 90°…

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: (d) Find the parametric equation for the line segment from point P(1,3, 2) and Q(1, –1,6).

A:

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: The given parametric equation is: x=3+t and y=t2-5t, 0≤t≤6 Find the value of t, where y=0:…

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: Study the diagram below. What is the eccentricity of this orbit? SHOW YOUR WORK. * 5T J 3 2 -5 -4 -3…

A: The objective is to find the eccentricity.

Q: Suppose that A and B are rotations of 180° about the points a and b,respectively. What is A followed…

A: Let Let A be the rotation of 180 degree about point a. Then a is midpoint of P and f(P). It follows…

Q: Cannot solve

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Q: 4 -8 -6 -4 -2 2 4 8 10 E,

A: Given query is to find the image points after 180° counter clockwise rotation.

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: The general form is  The angle is  .

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: If x and y axis are rotated  through an angle θ , the coordinates (x, y) of a point P relative to…

Q: Determine the coordinate of a 3D point (100.0, 29.0, -79.5) after rotating 60° across Y-axis, given…

A: Given:                       point: A100.0,29.0,-79.5                Rotation: θ = 60° across…

Q: Suppose parametric equations for the line segment between (8, - 9) and (9, 4) have the form: (t) = a…

A: The given parametric equation is x(t)=a+bt and y(t)= c+dt. When t=0, x=8,y=-9. That is,…

Q: Find the parametric equation of the line that passes through P(1, 0, -3) and is parallel to the line…

A: Given: We have to find the parametric equation of the line that passes through the point P(1, 0, -3)…

Q: Suppose parametric equations for the line segment between (0, - 6) and (9, – 8) have the form: (t) —…

A: Suppose parametric equations for the line segment between 0,-6 and 9,-8have the form xt=a+bt…

Q: Suppose parametric equations for the line segment between (6, 7) and (4, 5) have the form: Sa(t) = a…

A: The parametric equations for the line segment between (6,7) and (4,5) have the…

Q: Which of the following would be the coordinates of the image of C(-7,0) after a rotation by 90…

A: Coordinate after rotation

Q: Following a 90° counterclockwise rotation about the origin, the image of A(3, 1) is point B(-1, 3).…

A:

Q: Suppose parametric equations for the line segment between (0,-10) and (8,-1) have the form: a + bt…

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Q: Which of the following correctly graphs the parametric equations x(t) = v4t – 4 and - y(t) = 3t – 3:

A:

Q: Suppose parametric equations for the line segment between ( – 2, – 4) and (3, 3) have the form:…

A: Given x(t)=a+bt          y(t)=c+dtwhen t=0,x(0)=-2,y(0)=-4⇒ x(0)=a+b0     -2=a      y(0)=c+d0…

Q: 6. Find the image equation of the line -2x +y + 3 = 0 under the rotation about C = (1, 1) at an…

A:

Q: Consider the following. x2 + 2 sqaureroot of 3  xy − y2 + 8 = 0 (b) Use a rotation of axes to…

A:

Q: Suppose parametric equations for the line segment between (-2, – 6) and (5, 10) have the form: S¤(t)…

A:

Q: Consider the point C(a, b). What is the image of C after a counterclockwise rotation of a) 90° about…

A: Solution: Consider the given point C(a, b) and the statement about counterclockwise rotation. We…

Q: Which of the following is Parametric equations for the line passing through the origin and A(3, -2,…

A: We will use Standard form of parametric equation of Line passing through two points

Q: Suppose parametric equations for the line segment between (6, 2) and (1, - 5) have the form: S (t) =…

A: Here we use the initial consultations.

Q: find a parametric equation for the line that is perpendicularto the graph of the given equation at…

A: Given: x2+y2=25; -3,4 for finding equation of line that is perpendicular to given curve at given…

Q: the Image tion of theT line 2x ty -1=0 under the rotation about wんat is equati the point (i,!) angle…

A: What is the image equation of the line 2x+y-1=0 under the rotation about the point (1,1) at an angle…

Q: 10. What will be the coordinates of point T after a 180* rotation about the origin?

A: Given coordinates of RSTU R (2,5) S (7,7) T (6,4) U (1,2)

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A:

Q: Suppose parametric equations for the line segment between (0,-10) and (8,-1) have the form: a + bt y…

A:

Q: 4 B A 6 -$ -4 -3 -2 2 3 4 5 -1 -2 -3 -4 -5 1. Identify the center of rotation and give the…

A: for canter of rotation we join the adjacent point of two triangles which located in first and second…

Q: Suppose parametric equations for the line segment between (4, 3) and (– 1, – 10) have the form:…

A:

Q: A curve has an equation of 9x2 + 25y2 = 225. Compute the second eccentricity of the curve. %3D 1.33…

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Q: Perform a rotation of axes to eliminate the xy-term. (Use x, and Y2 for the rotated coordinates.) xy…

A: Here we use the rotational matrix.

Q: If the parametric curve starts at (5, 10) when t = 0 and ends at (3, 8) at t = 1, then find a, b, c,…

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Q: (a) Find the parametric equations for the line segment that joins P(1, 0, 1) to Q(2, 3, 1).

A: Given, P(1,01), Q(2,3,1)

Q: find the parametric equation for each of the following a.) for the line of slope 2 passing through…

A: a) Firstly, we will find the equation of line of slope 2 passing through the point (-2,4) by using…

Q: AJKL is shown. What is the image of point J after a 270° counterclockwise rotation about the origin?…

A: Given,

Q: Which of the following graphs correctly displays the graph of the curve defined by the parametric…

A: The graph of  e-2t+4

Q: 6. Find the image equation of the line –2x + y + 3 = 0 under the rotation about C = (1, 1) at an…

A:

Q: What is the image of (-2,2) under the rotation about the origin at an angle e=180°? O (2,-2) (-2,2)…

A: Given that