Exercises 97-99 will help you prepare for the material covered in the first section of the next chapter. 97. Here are two sets of ordered pairs: set 1: {(1, 5), (2, 5)} set 2: {(5, 1), (5, 2)} In which set is each x-coordinate paired with only one y-coordinate?

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: Determine the equation of a quartic function that has zeros of-7,5, and point (2, 9).

A: Quartic function is a function of the form f(x) = ax4  + bx3  + cx2  + dx , where a is non zero,…

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

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: Find a plane through the points (3,2,3), (4,-3,-3), (4,4,1)

A: The given points are: (3, 2, 3),  (4, -3, -3),  (4, 4, 1)

Q: ɔ determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) ie in tne same plane.

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Q: Rectangle MNOP with vertices M(-7,1), N(-4,1), O(-4,-4), and P(-7,-4) in the line y=-x

A: Transform the given rectangle over the line y=-x.

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 the plane that passes through (3,-1,2), (2,1,5), (1,-2,-2).

A: Given points are, (3,-1,2), (2,1,5), (1,-2,-2).

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

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Q: What is the translation image of (-2, -7) after the translation of (x, y) → (x + 2, y + 3)?

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Q: The point of intersection of axes in three dimension coordinate system is called Choose.

A: The point where the axes meet is called the origin of the three dimensional coordinate system.

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

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Q: (1, 3, 3), (3, -1, 5)

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

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Q: The distance between the points (-2,2,0) and (1, -1,0) is 3/2. True False

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Q: Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

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Q: The image of the point (8, 6)(8,6) under a translation is (13, 1)(13,1). Find the coordinates of the…

A: It is given that ; The image of a point  (8, 6) under a translation is  (13, 1). We have to find,…

Q: are the new coordinates of A(-5,4) B(-1,3) and C(-4,1) when rotated 75 degrees counterclockwis

A: To find the new coordinates of A(-5,4), B(-1,3) and C(-4,1) when rotated 75° counter clockwise.

Q: What is the 180 degree counter clock wise rule which transformed the pre-image ordered pairs (3,6)…

A: We see that 3 has been transformed to -3 and 6 to -6. Hence

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

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Q: Find a plane through the points (2,1,-2), (5,-4,4), (6,7,-4)

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Q: For the three-point geometry, draw a pictorial representation different from those in our examples.…

A: Three point geometry is a finite geometry with the following four axioms: (a) There exist exactly…

Q: Point A is located at (-2, 2) and point M is located at (1, 0). If point M is the midpoint of AB,…

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Q: A line segment P1(2,6) and P2(4,7) is scaled by 5 in x direction and 5 in y direction and then…

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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: 3,10 on coordinate plane

A:

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: 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: 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: Plot the points (2, 0), (2, - 3), (2, 4), (2, 1), and (2, - 1). Describe the set of all points of…

A: To plot: The points 2,0,2,-3,2,4,2,1 and 2,-1 and describe the set of all points of the form 2,y,…

Q: .A line I through the point (5,3,-6) has direction co quations of the line.

A: Introduction: We know that the vector equation of any line has the form r=r0+tv, where v is the…

Q: What is the translation image of (5, -3) under the translation (x, y)→ (x-6, y+ 2)?

A: adding to our guideline we are supposed to answer only the first question if you want any particular…

Q: What is the 270 degree counter clockwise rule which transformed the pre-image ordered pairs (3,6) to…

A: To find The 270 degree counter clockwise rule which transformed the pre image ordered pairs (3,6) to…

Q: Exercises 74-76 will help you prepare for the material covered in the next section. 74. If x = 3, y…

A: Hello. Since your question has multiple parts, we will solve the first parts for you. If you want…

Q: Find the distance between points (2,3,5) and (-1,4,-2) in space

A: The given points are (2,3,5) and (-1,4,-2).

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

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Q: A line pases through the point (-2,1) and is paralle to the line 2x+y=1

A: Solve using the concept of parallel lines

Q: Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and…

A:

Q: determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) lie in the same plane.

A: We will have to check whether the points (1,3,3), (3,-1,5), (5,2,0), (3,3,4) lie on the same plane…

Q: What is the distance between G(-4,1) and point (-12,1)

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

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Q: What is the 90 degree clock wise rule which transformed the pre-image ordered pairs (5,-8) to it's…

A: Given data: The points is (5,-8) The coordinates of the image are (-8,-5) Consider the point M(h,k)…

Q: What is the 270 degree clockwise rule which transformed the pre-image ordered pairs (5,-8) to it's…

A: Solution  Given image is transformed 270⁰ clockwise Pre image coordinates (x,y)=(5 ,-8) Image…

Q: Explain why the two planes P₁: =(2,5,3)+(2,-1,-3) +(1,0,-1), s,/€ R, and P',: 7=(4,4,0)…

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Q: What is the 180 degree clockwise rule which transformed the pre-image ordered pairs (5,-8) to it's…

A: To find The 180 degree clockwise rule which transformed the pre-image ordered pairs (5,-8) to its…

Q: 71. (*글, )+(팔2, 말) X-y y+x'

A: we have ; x-y2,y-x2+x+y2,y+x2

Q: Find a plane through the points (-1,5,-8), (-2,8,6), (1,8,-6)

A: The given points are: x1, y1, z1=-1, 5, -8 x2, y2, z2=-2, 8, 6 x3, y3, z3=1, 8, -6   Now the…