What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ (-6, 1)(-4, 1)2+ 4 -2 0 -2- -10 -8-6 68 10 -6+ (-6,-6) -8+ -10-

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

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Q: A parallelogram is transformed according to the rule (x,y) (x,y) which is another way to state the…

A: We have to find the another way to state the given transformation.

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: What are the coordinates of latera recta of 9x2 – 4y² – 36x – 8y- 4 = 0? | (2-V15,-플), (2-V13,글),(2…

A: Given

Q: How can you say that the points (1,-5),(3,-2),(7,4) are collinear

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Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Solution:-

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: 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: 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: 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: 12) The distance from the point S(-10, –4, –6) to the plane -9x + 2y + 6z = 4

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Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

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

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Q: = (T-) (प॰,,५) %3D -1 = )7-6 (4-7) 11 Find the fcilowing: 3D3x+8 9={-7,-6),(0, -7),(2,8), (5, 6)3

A: Given : g = {(-7,-6),(0,-7),(2,8),(5,6)} h(x) = 3x + 8   g-1(-7) = ? g(0) = -7 g-1(-7) = 0   h-1(x)…

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: 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: 19. The plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1) Answer + -4x + 3y + z = -14

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Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

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Q: 7. What is the image of the point (-3, 14) after a counterclockwise 90" rotation?

A: We have to find out

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

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

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Q: Find an equation of the plane passing through P = (1, 2, 3), Q = (0, 0, 3), and R = (−2, 5, 4).

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

A: The solution is given as follows

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: 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: 2) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

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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 the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3)

A: Given:      Points 0,0,2, 2,4,1 , -2,3,3 Recall that we can generally write the equation for a plane…

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: Find the equation of a plane passes through (1, 2, 3), (3,2,1) and (-1, -2, 2) ○ 4x - 3y + 4z = 10…

A: This question is based on finding equation of plane that passes through 3 points.

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0

Q: Which of the following is the equation with center (-9, 8) Major axis = 10? %3D 20 and minor axis…

A: To find the equation of the vertical ellipse with center (-9,8) . Major axis = 20 and minor axis =…

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

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Q: What are the coordinates of reflection of K(6,11) in line y=x

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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: 1. Find the coordinate of the point (2,4) in new system created by rotating the axes by Ø = 30°?

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Q: What are the coordinates of latera recta of 4x2 – 9y2 – 16x – 18y-29=0? 10 10 A -1+V5),(-늘, -1-V5),…

A: Given : Equation of curve 4x2 - 9y2 -16x -18y -29 = 0   To find : Coordinates of latera recta for…

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: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

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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: The equation of the plane containing the points (4, – 3,1), (-3,–1,1) and (4, –2,8) is:

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.