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Murljashka [212]
3 years ago
13

What is 3/5 x 3 1/3 simpliest form

Mathematics
2 answers:
denpristay [2]3 years ago
7 0

Answer:

2x

Step-by-step explanation:

Sedbober [7]3 years ago
5 0

Answer:

8/6 x 3

Step-by-step explanation:

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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
Please help me out with this!!!!!!!!!!!!
vesna_86 [32]

Answer:

y = - \frac{3}{4} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2points on the line

m = \frac{0-3}{4-0} = - \frac{3}{4}

Note the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \frac{3}{4} x + 3 ← equation of line

6 0
3 years ago
Lan is buying apples at the farmer's market.
suter [353]
I think you may need a picture; nobody can help if we don’t know the size of the different sizes of the packages (:
6 0
3 years ago
Is sin A is 7/10 what is Cos A
viva [34]

Answer:

Cos A = (√51)/ 10

Step-by-step explanation:

sin  is opposite/hypothenuse

cos is adjacent/hypothenuse

Pythagorus theorem says that c² = a² + b²

10² = 7² + b²

b² = 100 - 49

b = ±√51

It doesn't make sense for a length to be a minus number therefore, we will use +√51.

Cos A = (√51)/ 10

Tell me if I am wrong.

Can I get brainliest

5 0
3 years ago
Ally is making a fruit punch using 48 ounces of grape juice and some seltzer water. She wants to make 10 equal servings that are
yaroslaw [1]
She should add 48 ounces of of seltzer water because it will allow at least 10 servings. 32 ounces would only be enough to make 8.88 servings
6 0
3 years ago
Read 2 more answers
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