The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.
2 answers:
Answer:
B will be at same place after all six rotations.
Step-by-step explanation:
If rotation maps to
Then [tex]R^6[tex] means six rotations .
The given B after one rotation will shift in place of A
After second rotation will shift in place of F
After third rotation will shift in place of E
After fourth rotation will shift in place of D
After fifth rotation will shift in place of C
After sixth rotation will shift in place of B itself.
Therefore, B will come back to same place after all the required rotations.
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Answer:
The answer is D,
Step-by-step explanation:
By graphing each one in a graphing tool like Desmos, you can determine which one it is.
If your looking for an actual explanation on how it is found, I can't really help you on that one.
a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is
b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so
c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so
Then by linearity, we have