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EleoNora [17]
3 years ago
12

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.

Mathematics
2 answers:
Andru [333]3 years ago
7 0
It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.
AleksAgata [21]3 years ago
6 0

Answer:

B will be at same place after all six rotations.

Step-by-step explanation:

If rotation maps to 60^{\circ}

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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The vertex form of the equation of a parabola is y = (x - 3)2 + 36.
IrinaVladis [17]
- B. y = x2 - 6x + 45
6 0
2 years ago
Help me out please guys
kolbaska11 [484]

Answer:

The answer is D,  g(x)=-2^x

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.

4 0
2 years ago
Evaluate the definite integral using the graph of f(x)<br> (Image included)
Tanya [424]

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

\displaystyle \int_0^3 f(x) \, dx = \frac12 \times 3 \times 5 = \boxed{\frac{15}2}

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

\displaystyle \int_3^5 f(x) \, dx = \int_3^4 f(x) \, dx + \int_4^5 f(x) \, dx = \int_3^4 f(x) \, dx - \int_3^4 f(x) \, dx = \boxed{0}

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

\displaystyle \int_5^9 f(x) \, dx = -4\times5 = -20

Then by linearity, we have

\displaystyle \int_0^9 f(x) \, dx = \left\{\int_0^3 + \int_3^5 + \int_5^9\right\} f(x) \, dx = \frac{15}2 + 0 - 20 = \boxed{-\frac{25}2}

8 0
2 years ago
Whats the linear function in slope intercept form :<br> -6x+9y=54
babunello [35]
9y  = 6x + 54
divide through by 9:-
y = 6/9y + 54/9


y = 2/3 x  + 6 <---- answer
4 0
3 years ago
Read 2 more answers
Please help please please
hammer [34]

Answer:

A. The lines stay parallel

Step-by-step explanation:

Rigid transformations do not change angle or line relationships. When the parallel lines are rotated they stay parallel. Reflecting them will keep them parallel. If this were not true, then figured with parallel lines like rectangles and squares would change shape when reflected.

4 0
3 years ago
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