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Marysya12 [62]
3 years ago
10

Use the product property of exponents to justify that (9^1/2)^2=9

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

The rule states that

(a^b)^c = a^{bc}

So, in your case, you have

(9^{\frac{1}{2}})^2=9^{\frac{1}{2}\cdot 2}=9^1=9

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Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
Which statement is true about point F? a.F is the midpoint of AA' because bisects AA'. b.F is the midpoint of EG because AA' bis
Dimas [21]

Answer:

The correct option is;

a. F is the midpoint of \overline{AA'} because line \overline{EG} bisects \overline{AA'}

Step-by-step explanation:

Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line \overline{AA'} as the  dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F

Therefore the point F is the midpoint of \overline{AA'} because line \overline{EG} bisects \overline{AA'}.

7 0
3 years ago
I need a lot of help!<br> Is 54.03 + 4.04 greater than 54 + 4.4?
Aliun [14]

Answer:

54+4.4 is greater

Step-by-step explanation:

if u need explanation than please ask

7 0
2 years ago
How many whole cubecan be cut from a cuboid measuring 33 cm by 29 CM by 18 cm
xz_007 [3.2K]
Volume = length x width x height
Volume = 33 x 29 x 18
             = 17,226
Number of whole cubes formed by the defined volume = 17,226/3
                                                                                       = 5742 cubes
7 0
3 years ago
The sinclair family live 5.4 miles from southside middle school. how many feet away do they live?
enot [183]
They live 28512 feet away
7 0
3 years ago
Read 2 more answers
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