Identify the new coordinates of (-4, 1) after a reflection across the y-axis. y 10- 8- 6- 4+ ((6, 1) (-4, 1) 2- ++ 4 6 8 10 -4-2 0 -2+ -10 -8-6 4

Q: Find an equation of a plane containing the three points (5, 2, 2), (8, 7, 3), (8, 8, 5) in which the…

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Q: What is the image of (-8,10) when reflected in the y-axis? OA. (8, -10) Ов. (10, 8) OC. (-8, -10)…

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Q: Show that the points (5,4,2) ,(6,2,-1) and (8,-2,-7) are collinear

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Q: Rectangle WXYZ with vertices H(- 3, - 4), X(0, - 5); Y(- 2, - 11) and Z(-5,-10);1; 180 degrees…

A: To find the rotation by 180° about a point other than the origin, use the following steps. Subtract…

Q: Determine the intersection of 3x – 4y – 5z = 0 with [x, y, z] = [3, 1, 1] + t [2, -1, 2].

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Q: Find the equation of the plane that passes through the points 4 = (2,4,-3), B = (3,-1,3) and y - 4 -…

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Q: Find an equation of the plane passing through the three points given.P = (2, −1, 4), Q = (1, 1, 1),…

A: To find the equation of the plane passing through the three pointsP =x1,y1,z1= (2, −1, 4), Q…

Q: Find an equation of the plane passing through the given points. (a) (0, 1, 2), (3, −2, 5), (2, 3, 4)…

A: I will Solve (a) for you,   Given Points are, A=(0,1,2) B=(3,-2,5) C=(2,3,4) We have to find the…

Q: Find an equation of the plane passing through the three points given.P = (5, 1, 1), Q = (1, 1, 2), R…

A: GivenP=(5,1,1) , Q=(1,1,2) and R=(2,1,1)To find equation of plane passing through the three points.

Q: Graph the image of trapezoid BCDE after a rotation 270° counterclockwise around the origin. 10 4. 2.…

A: topic - rotation about origin

Q: Find an equation of the plane passing through the points.(−4, −4, −4), (4, −1, −4), (−4, −1, −4)

A: Here given as

Q: Find an equation of the plane passing through the three points give P = (4, –1, 2), Q = (1, 1, 1), R…

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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: 7. Find the equation of the plane passing through the points (1, 1, 2), (3, –1,6) and (5, 2,0).

A: To find the equation of the plane passing through the given points

Q: find an equation of the plane passing through the three points given.  P = (2, 0, 0), Q = (0, 4, 0),…

A: Equation for plane P is written in vector form as: n.(x,y,z)=d In scalar form equation is written as…

Q: Find an equation of the plane passing through the points.(3, 2, −2), (3, −2, 2), (−3, −2, −2)

A: Vector equation of the plane passing through the three points with position vector  Now , plane…

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

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Q: What are the new coordinates of point M (-8, 3) after a rotation 180° counterclockwise? • (8, -3) •…

A: We find new point after 180 degree rotation counterclockwise.

Q: vertices (2,3) and (2y.3) passing through the point. 0,5)

A: To find: The standard equation of the hyperbola. Given: The vertices of the hyperbola are 2,3 and…

Q: 4- Find an equation of the plane that passes through the given points (-2, 1, 1), (0, 2, 3), and (1,…

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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: Find an equation of the plane that passes through the points (3, 2, 1), (2, 1, – 1), and (-1,3, 2).

A: Given:3,2,1, 2,1,-1   and -1,3,2

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

A: We have to find the y-coordinate.

Q: 3. When origin is shifted to (3,4) by translation of axes, find the transformed equation of 2x² +…

A: We have to solve given problems:

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: 10수 2 T -10 -8- -4 -2 2. 8. 10 -2 -4 -6 4. 6. 4- to

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Q: Find an equation of the plane passing through the points.(1, −2, 1), (−1, −1, 7), (2, −1, 3)

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Q: Write the coordinates of the vertices after a reflection over the line x = 3. 10 8 6. 2. -10 -8 -4…

A: Given query is to find the coordinates of the vertices after reflection over x = 3.

Q: When X and Y are moving in the same direction the cross-products are likely to be

A: Cross Product :  It is a vector operation that acts on vectors in three dimensions and results in…

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: What is the image of the point (−5,−4)(−5,−4)after a rotation of 180∘180∘ counterclockwise about the…

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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: 5 Find the equation of the plane passing through the points A(1, 2, –3), В(2, 1, 4), С(3,0, 1).

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Q: Find the linear equation of the plane through the point (0, 1, 1), (1, 0, 1), and (1, 1, O)

A: Consider the point (0,1,1). Take option (a) x-y-z+2=0-1-1+2=0 Take option (b) -x+y-z+2=-0+1-1+2=2≠0…

Q: 5. Which of the Two-Reflection Theorems for Rotations and Translations could apply when the…

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Q: 10 -5 -2 -5 4-3 -2 -1 0 1. 5 6 -4 -5 -8 -9 -10 -11 -12 -13 8. 5. 3. 2. 7. y-axis

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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: Describe the reflection(s) that will carry the rectangle onto itself. 10 -9 - -7 -6 -4 -3 -2 01

A: Here we have to give a rectangle, here we have to describe the reflection that carries the rectangle…

Q: Find the equation of the plane through the points (1, -1, O), (1, 0, 1) and (2, 2, 1).

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Q: Show that the points (5,4,2),(6,2,-1) and (8,-2,-7) are collinear

A: The points are A(5, 4, 2), B(6, 2, -1) and C(8, -2, -7) The points are collinear if the directional…

Q: What will be the new coordinates of point M (-5, -7) after a rotation of 270° counterclockwise about…

A: To fins the new coordinate of point M (-5,-7) after a rotation of 270° anticlockwise about the…

Q: 1. F = [2², -x², 0], S the rectangle with vertices (0, 0, 0), (1, 0, 0), (0, 4, 4), (1, 4, 4)

A: As given that,  F→=z2i^-x2j^+0k^ Calculating curl F,…

Q: Find the reflection of the point (1, 2, 3) in the point 2x+y=10

A: To find the reflection of the point (1,2,3) in the plane 2x+y=10.

Q: Find the coordinates of the reflection across y=-1 A) R(1, 0), Q(5. –1), s(3, 4) C) R(0, -1), Q(-1,…

A: Co ordinate Geometry question

Q: Find the equation of the line that satisfies the given conditons.  Through (-6,-7); perpeindicular…

A: Given: line passing through (-6, -7), perpendicular to line passing through (-3,5), (1,3).

Q: Find the equation of the plane that passes through the point P = (1, -5, 2) that has normal n = (-4,…

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Q: The pre-image is moved to the right 3 and up 1 (x+3, y+1). What is the new image? 10 -20 |-10 10 20…

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Q: What single transformation rule would be the same as a reflection across the line x-4 and then…

A: In this question, we want to know the single transformation rule that would be the same as a…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.