Hello the math quizzes help
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Answer: c) B' = (6, -3)
<u>Step-by-step explanation:</u>
The simplest way is to rotate the graph.
Rotating the graph 1 time to the left (counterclockwise) = 90°
Rotating the graph 2 times to the left (counterclockwise) = 180°
Rotating the graph 3 times to the left (counterclockwise) = 270°
The longer way is to reflect over the x-axis and over the y-axis, which is the same as a rotation of 180°
Z = (x, y) → Z' = (-x, -y)
<em>the image below shows the graph rotated 2 times = 180°</em>
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There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.
Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.
We are required to find the number of ways in which the volunteers can be assigned.
Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.
n=n!/r!(n-r)!
Number of ways in which the volunteers can be assigned is equal to the following:
Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.
Number of ways =14
=14!/12!(14-12)!
=14!/12!*2!
=14*13/2*1
=91 ways
Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.
Learn more about combinations at brainly.com/question/11732255
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