Find the coordinates of the image of the point (-2, 2) when it is reflected across the line y-7 O(2 -5) O (2, 12) (-2, 9) O (2 -2)

Q: 2. Find the distance between the point (3,-1,1) and the line going through the points (1,2,3) and…

A: In this question we will use basic of geometry i.e concept of line in 3d. We will simply find the…

Q: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ 4+ (-6, 1) (-4, 1)…

A: Given, The coordinates of point -4, 1  We have to find the coordinates of point -4, 1 after a…

Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: What is the image of the point (2,-3) after the transformationr y-axis 1) (2,3) 2) (-2,-3) 3) (-2,3)…

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Q: Find a set of parametric equations of the line with the given characteristics.

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Q: What are the new coordinates of point M (-8, 3) after a reflection in the line y =x? O (3,-8) O(8,…

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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: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: What is the image of (-2, 6) after a reflection over the line y :

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Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2) , the robot turns 90°…

A: The robot begins moving at (2,1) and reaches at (5, 2) taking a linear path. So, the equation of a…

Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

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Q: 1 What is the image of the point (-4,-2) after the reflection over the line y = - -X- 1?

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Q: 4. The line passes through the point (-6, 0, 8) and is parallel to the line x 5-2t, y=-4+2t, z 0.

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Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

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Q: Find the point on the line 5x + y = 5 that is closest to the point (−2, 1).

A: We will solve the following.

Q: The equation for the line that passes through the point (1,0) and perpendicular to the --1 is line x…

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Q: Identify the new coordinates of (-4, 1) after a reflection across the y-axis. y 10- 8- 6- 4+ ((6, 1)…

A: Given  Coordinate (-4,1)

Q: The equation for line A is y =z + 4. Suppose line A is parallel to line B and point (-3, 1) lies on…

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Q: Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

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Q: The point (5,4,7) is the midpoint between the points (10,8,1) and (x,y,2). Find (x,y,2).

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Q: Find equations of the line through the point (1, −1, 1) perpendicular to the line 3x = 2y = z and…

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Q: A robot begins moving on a linear path at (2,1). When it reaches (5,2), the robot turns 90°…

A: Linear equation

Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5- -10 -5 10 -5- 5

A: The coordinates of vertices of the blue triangle (1st quadrant) are A1, 1, B3, 1 and C3, 5. Now, Use…

Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: 3. What is the equation of the line that passes through point (-3,-1) and is perpendicular to the…

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: A robot begins moving on a linear path at (2,1). When it reaches (5,2), the robot turns 90°…

A: This is a problem related to linear coordinates. based on the diagram shown in solution we will…

Q: ry = 10, z = 8, x = 9, y = 0, (i) about the z- and about the y-axis;

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Q: The two points on the lines 2x +3y +4 = 0, which are at a distance of 2 from the line 3x + 4 y –- 6…

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Q: What is the image of (-6,0) after a reflection over the line y = -x? %3D

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Q: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ (-6, 1)(-4, 1)2+ 4…

A: Given,  The coordinates of point -4, 1  We have to write the coordinates of point -4, 1 after a…

Q: Find the point on the line 6x + y = 7 that is closest to the point (−2, 1).

A: Given line 6x + y = 7     (1) Given point A(-2,1)

Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 2).

A: We use second derivative test to find out point where distance minimum

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: 29. (-2, 2) reflected through the y-axis is a. (-2, 2) b. (2, 2) с. (-2, -2) d. (2, -2)

A: Rule:-  A point ( x,y ) After reflection through y axis becomes ( -x , y)

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

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Q: Find the equation of a curve for which y” = 6x – 4 and which passes through (1,2) and (-2 ,5)

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Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) (0.5x, 0.5y)? O (-7,…

A: Given coordinate of point ( -14 , -24 ). dilation is , ( x , y )→ ( 0.5x , 0.5y )

Q: What is the image of (0, -8) after a reflection over the line y = x?

A: The reflection of the point (x,y) over the line y=x is the point (y,x).

Q: Write down equation of the line in space passing through the points Po(1,0,0) and P (0, 1, 1).

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Q: What is the image of (-1, -4) after a reflection over the line y = -x?

A: Topic = Coordinate geometry   when a point is reflected across the line y = -x, the x-coordinates…

Q: (-2,4) parallel to y=-3/2x+3

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Q: Find the point on the line 2x + y = 5 that is closest to the point (−4, 3).

A: See the details solution in below

Q: Find the point on the line 2x + y = 9 that is closest to the point (−2, 1).

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Q: Find the image of the point (-4, 2) after its rotated by 30 degrees counterclockwise then rotated by…

A: We will find out the required image of point.

Q: 1 What is the image of the point (-4, -2) after the reflection over the line y = - x- 1?

A: follow next step

Q: Find the point on the line 3x + y = 5 that is closest to the point (−4, 3).

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Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y -z = -2?

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