Find the image of the point (-4, 2) after its rotated by 30 degrees counterclockwise then rotated by 90 degrees clockwise.

Q: (6,6); parallel to 2x-5y=-7

A: Two lines are said to be parallel when they have the same slopes.Equation of a line in…

Q: find the angle between the 3x lines y 4 З and 5x - 2у %3D 10. -

A: The two lines are as follows y=3x4-3 and 5x-2y=102y=5x-10y=52x-10 comparing with y=mx+c where m is…

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

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Q: Suppose point A(9,10) was rotated 270 degrees counterclockwise around the origin.  What is the y…

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Q: Find the equation of the perpendicular bisector of the segment joining points (-2, -3) and (2,5).

A: To find:- Equation of the perpendicular bisector of the segment joining points (-2, -3) and (2,5).

Q: Suppose point A(9,2) was rotated clockwise 90 degrees around the origin.  What is the x coordinate…

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Q: Find the coordinates of the image of the point (-22) when it is reflected across the line y-7 O…

A: Given that the line y=7 and the coordinates whose image has to be found is (-2,2) Let A be the…

Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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Q: Find the height of the bridge over the river exactly 25 feet from the center of the river.

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Q: What are the x,y coordinates of the lowest point of the valley and what is the elevation at that…

A: Given, fx,y=-2000+0.004x-10002+0.001y+10002. It has been asked to find the lowest point of the…

Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

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Q: Find a point on x axis which is equidistant from A(2,-5) and B(-2,9)

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Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: What is the image of the point (3,-6) after a rotation of 90° counterclockwise about the origin?

A: Consider the given point 3,-6

Q: Sketch the points (1, 5, 3), (0, 2, −3), (−3, 0, 2) and (2, −2, −1) on a single set of coordinate…

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Q: Find the equation of the line that passes through the point (2,3) and make an angle of 45° against…

A: Given Line is : 3x-y+5=0

Q: Find the rectangular coordinates of the point P-). x-coordinate of P y coordinate of P(- )- 3

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Q: Find the distance between the points.(1, 3), (3, −2)

A: The distance between two points (a,b) and (c,d) is given by:- D=(c-a)2+(d-b)2

Q: Find the distance from the point (4, 3, 0) to the x-axis

A: To find the distance from the point (4, 3, 0) to the x-axis

Q: Find the acute angle between the lines 3x+y=5 and 2x-y=4

A: We have to found acute angle between two lines ,where lines are given by:

Q: What is the image of the point (-6,4) after a rotation of 180° counterclockwise about the origin?

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Q: Find cot θ⁡ whose terminal side passes through the point (4,0).

A: Given terminal side passes through the point (4,0)

Q: Parallel to 2x + 4y = 5, passing through (1,2)

A: The line parallel to the line 2x+4y=5.

Q: Find the distance from the point (4, 3, 0) to the z-axis

A: To determine: Find the distance from the point (4, 3, 0) to the z-axis

Q: Graph the image of UVW after a rotation 90 degrees counterclockwise around the origin. Give me the…

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Q: find the equation of  the perpendicular biceptor of the segment joining (4,2) and (-2, 6).

A: Let ( x1,y1) and ( x2,y2) be (4,2) and (-2,6) respectively

Q: What is the image of the point (-7,5) after a rotation of 180° counterclockwise about the origin?…

A: We will use the formula for transformation of axes by an angle to find the new co-ordinates of the…

Q: What is the image of (-2, –3) after a reflection over the line y = x?

A: Given : To determine the image of the point -2,-3 about y=x

Q: Find the coordinates of the image of the point (-2, 2) when it is reflected across the line y-7 O(2…

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Q: What is the image of the point (-5, 2) under the translation T34?

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Q: What is the image of (-2,3) under the reflection in the x-axis?

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Q: Find the values of δƒ/δx and δƒ/δy at the point (4, -5) ifƒ(x, y) = x2 + 3xy + y - 1.

A: ddxxn=n xn-1

Q: Plot the points (4, 2), (-5, 4), (-4, -3) and (6, -4) in the Cartesian plane.

A: Coordinates (x,y) represent 'x' units from origin in left or right direction depending upon the sign…

Q: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

A: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

Q: Find 1x²z ds, where C is the line segment C from (0,-3,-5) to (2,1,-5)

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Q: What is the image of the point (-7, -8) after a rotation of 180 counterclockwise about the origin?

A: Under rotation 180° about origin,a point (x,y)→(-x,-y)Hence (-7,-8)→(7,8)

Q: Find axis of symmetry

A: The axis of the symmetry is the axis about which the figure is symmetric. The shape of the figure is…

Q: What is the image of (6, 4) after a reflection over the x-axis?

A: The image of (6,4) after reflection over the X-axis is (6,-4)

Q: find the distance between the points (-2,3) and (-4,1)

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Q: What is the image of the point (-9,3)(−9,3) after a rotation of 180∘ counterclockwise

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Q: Find the distance from the point (3, 1,0) to the line given by symmetric equations *** =-3, y= 1.

A: Given that: The point is: (3, -1, 0) and equation of line is:         x+42=z-3, y=1

Q: What is the image of the point (-7,5) after a rotation of 180° counterclockwise about the origin?

A: Rule for rotating 180⁰ counterclockwise about the origin If we are rotating any point (x,y) about…

Q: parallel to -2x+3y=7 and passing through the point (6,4)

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Q: The accompanying diagram shows a right triangle. If the triangle is rotated 90° counterclockwise…

A: Given that  A right angle triangle is rotated in 90° in counter clockwise about the origin.

Q: Write the coordinate of the vertices after a rotation 270 degrees counterclockwise around the origin

A: Explanation:

Q: Find all points on the y-axis that are 5 units from the point (4, 4).

A: Distance between two points (x1,y1) and (x2,y2) on the graph is given by the distance formula, that…

Q: What are the new coordinates for A(-5,4) B(-1,3) and C(-4,1) after rotating 75 degrees…

A: Answer and explanation is given below...

Q: Give me the coordinates of rectangle TUVW after a rotation 180° counterclockwise around the origin.…

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