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bagirrra123 [75]
3 years ago
5

2/3 k =28•4/9 solve for k

Mathematics
2 answers:
rodikova [14]3 years ago
6 0
The answer is, k=18.
Andre45 [30]3 years ago
3 0
K=18 do you know you can get the answer for the Internet right
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Let g' be the group of real matricies of the form [1 x 0 1]. Is the map that sends x to this matrix an isomorphism?
aliina [53]

Yes. Conceptually, all the matrices in the group have the same structure, except for the variable component x. So, each matrix is identified by its top-right coefficient, since the other three entries remain constant.

However, let's prove in a more formal way that

\phi:\ \mathbb{R} \to G,\quad \phi(x) = \left[\begin{array}{cc}1&x\\0&1\end{array}\right]

is an isomorphism.

First of all, it is injective: suppose x \neq y. Then, you trivially have \phi(x) \neq \phi(y), because they are two different matrices:

\phi(x) = \left[\begin{array}{cc}1&x\\0&1\end{array}\right],\quad \phi(y) = \left[\begin{array}{cc}1&y\\0&1\end{array}\right]

Secondly, it is trivially surjective: the matrix

\phi(x) = \left[\begin{array}{cc}1&x\\0&1\end{array}\right]

is clearly the image of the real number x.

Finally, \phi and its inverse are both homomorphisms: if we consider the usual product between matrices to be the operation for the group G and the real numbers to be an additive group, we have

\phi (x+y) = \left[\begin{array}{cc}1&x+y\\0&1\end{array}\right] = \left[\begin{array}{cc}1&x\\0&1\end{array}\right] \cdot \left[\begin{array}{cc}1&y\\0&1\end{array}\right] = \phi(x) \cdot \phi(y)

8 0
3 years ago
Answers Appreciated! Thanks if you help!
Kipish [7]

Answer:6.28

Step-by-step explanation:

C=pi*diameter

C=3.14*2

C=6.28

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Answer:

Step-by-step explanation:

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Please help! Will give brainliest to correct answer
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Step-by-step explanation:

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3 years ago
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The y-value for the midline is equal to?
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