Answer:
12P3 = 1320
Step-by-step explanation:
How you need select three persons of a group of twelve persons, but in the selection each member of the group has a different position, then you need use a permutation
Permutation is defined how
In our case n = 12 and r = 3
Thus
12P3 = 1320
Reasons:
(1) Given
(2) their 2 non-common sides in 1 ray
(3) definition of: supplemental angles
(4) Substitution
(5) Opposite angles are congruent (equal)
(6) Substitution
(7) Definition of supplementary angles
Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
Answer:
B
Step-by-step explanation:
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