Answer:
The answer is
.
Step-by-step explanation:
First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element
there exist another element, denoted by
such that
, where
stands for the identity element of G.
So, given the equality
we make a left multiplication by
and we obtain:

But,
. Hence,
.
Now, in the equality
we make a right multiplication by
, and we obtain
.
Recall that
and
. Therefore,
.
Answer:
-1
—— = -0.25000
4
Step-by-step explanation:
Answer & Step-by-step explanation:
Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)
w = 2h (twice the price)
t = h - 4 ($4 less)
3w + 2h + 5t = 136 (total purchasing and cost)
We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t
3(2h) + 2h + 5(h-4) = 136
Simplify
6h + 2h + 5h - 20 = 136
13h = 136 + 20
13h = 156
h = 156/13
h = $12
Using this information, we can solve for w and t
w = 2h
w = 2(12)
w = $24
And finally
t = h - 4
t = 12 - 4
t = $8
Answer:
B) 8
Step-by-step explanation:
Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.
If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.
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