What is the image equation of the line 2x+y-1=O under the rotation about the point (1, -1) at an angle 0=90°? О х-2у-3-0 x+2y+3=0 x+2y-3=0 х-2у+3-0

Q: 4. Find parametric equations of a line passing through (1, 2, 3) that is parallel to the plane…

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Q: Find parametric equations for the line described below. The line through the point P(-1, -1, 5)…

A: Question 17 In general, we know that the equation of the line passing through the point (x1, y1, z1)…

Q: Select a parametric equation that represents the line that passes through the points (3,0,−2) and…

A: Find the direction vector of the line using the two points

Q: Find parametric equations for the lines in The line through (2, 4, 5) perpendicular to the plane 3x…

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Q: What are the polar equations of the lines parallel to the line r cos (0 - ) = 1?

A: As a first step we will convert the polar equation into the Cartesian equation.

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: -Reduce the equation to its ordinary form using rotation and translation of axes

A: answer is in next step .

Q: Find the parametric equations of the line segment that passes through the points A(4,2,-5) and…

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Q: The point (3, 4) is plotted on the coordinate plane below.   What are the coordinates of the…

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Q: Find parametric equation of the line passing through point (4,2) and parallel to vector 7 = -i+5j.

A: Given: A line passes through the point (4, 2). The line is parallel to the direction vector…

Q: Graph the image of the figure using the transfor and its image. 1) rotation 180° about the origin…

A: In the question it is asked to calculate the image of the given graph by taking a rotation of 180°,…

Q: What are the polar equations of the lines parallel to the liner cos (θ − π/3)= 1?

A: rcosθ-π3=1

Q: b. Express the point in at least two different ways. (Since polar coordinates are not unique.) (2)-(…

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Q: Find the parametric equations of the line perpendicular to l1 and l2 that contains the point (-1.…

A: We have to find equation of a line which is passes through the point (-1,-1,-1) and Perpendicular to…

Q: What must be the equations of the rotation about the point (1, -1) at an angle e=90°? O x' = y , y'…

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Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1). Find a vector equation,…

A: Solve the following

Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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Q: The parametric equation of a line passing through A(1,1,1) and B(-1,2,0) is

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Q: Find parametric equations for the lines with the given description. Parallel to the line through (1,…

A: Consider the given points 1,1,0 and 0,-1,-2 Passes through the point 0,0,4

Q: Determine two pairs of polar coordinates for the point with 0° < 0 < 360°. (-3-2, -3 2) O (6, 225°),…

A: We know that cartesian (x,y) in polar form is (r,θ)Where r=x2+y2 and θ=tan-1(yx)So,…

Q: 5. Find the parametric equation of the line passing in R³ passing through the points (3, 1,0) and…

A: Directly use the formula for the parametric equation in R3

Q: What is the polar equation of the vertical line x = 5?

A: Given veritcal line is x=5. In polar coordinates, we have, x=rcosθ, y=rsinθ Therefore, given…

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

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Q: Complete the parametric equations of the line through the points (7,-8,5) and (6,-4,8)

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Q: Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

A: Given points , A(6,2,5) B(9,2,8) Therefore a=6i+2j+5k b=9i+2j+8k

Q: 2. The point (4,30°) in plane polar coordinates is equivalent to .. in rectangular coordinates. (a)…

A: Given polar coordinates is  (4,30°)

Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3,5) and…

A: we have to find the equation of line which is passes through the given point and perpendicular to…

Q: How does an image compare to its preimage after a -45 degree rotation?

A: Query- How does an image compare to its preimage after a -45 degree rotation. Answer-As reflection…

Q: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…

A: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…

Q: passes through (-2,-1) and perpendicular to the line y= 3.

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Q: coordinates of A(-11.5, 9), B(14, 8), and C(6, -7). What are the coordinates of its image after a…

A: Given data:     The first point is: A=(x1,y1)=(-11.5,9). The second point is: B=(x2,y2)=(14,8). The…

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: 4- Find parametric and symmetric equations of the line passing through the points (1,- 1,2) and…

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Q: 1. Find the vector and parametric equations for a line passing through (7,-4, 2) and parallel to the…

A: We have to find the vector and parametric equation of the line

Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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Q: Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)

A: Given points are  P2,-3,1,Q4,1,-4

Q: find parametric equations for the given curve. Line through (3, 1) and (−5, 4)

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Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: Give all possible polar coordinates for the point (4, –4/3) given in rectangular coordinates. 2n +…

A: Here, we will use  the formulas x=rcosθ and y=rsinθ.

Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: A carnival ride is drawn on a coordinate plane so that the first car is located at the point (30,…

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Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the…

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Q: Find a set of parametric equations for the line segment from (-1,5) to (9,–4).

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Q: Plot the points with polar coordinates (4, T) and -5, - *-) using the pencil. 2n 3 3n 4 4 6 4 6. 一6

A: Given query is to graph the polar coordinates.

Q: Find a set of parametric equations of the line segment from (-1,-3) to (6,-16)

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Q: The rotation about the origin at an angle e=180° is defined by (ху)-(ху) (ху)-(ух) O (x.y)->(x,-y)…

A: The rotation about the origin at an angle 180° is defined by :-

Q: What is the polar equation of the horizontal line y = 5?

A: Given the cartesian equation of horizontal line: y=5