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hodyreva [135]
3 years ago
11

Which expression is equivalent to (125^2/125^4/3)​

Mathematics
1 answer:
mariarad [96]3 years ago
6 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{125^2}{125^{\frac{4}{3}}}\implies \cfrac{(5^3)^2}{(5^3)^{\frac{4}{3}}}\implies \cfrac{5^{3\cdot 2}}{5^{3\cdot \frac{4}{3}}}\implies \cfrac{5^6}{5^4}\\\\\\ 5^6\cdot 5^{-4}\implies 5^{6-4}\implies 5^2\implies 25

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Which ordered pair is the solution to the system of linear equations y = -7x + 2 and y = 9x - 14?
lisabon 2012 [21]
Y = -7x + 2
y = 9x - 14

-7x + 2 = 9x - 14
14 + 2 = 9x + 7x
16 = 16x
1 = x

y = -7x + 2
y = -7(1) + 2
y = -7 + 2
y = -5

solution is : (1,-5) <==
4 0
3 years ago
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BlackZzzverrR [31]

Answer:

b 3.13

Step-by-step explanation:

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The red square is the image of the blue square after a SINGLE transformation. Use two or more complete sentences to describe eac
Leni [432]

The transformations which can lead to the red square image of the blue Square are; Translation, Reflection, Rotation.

<h3>What transformations lead to the image?</h3>

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5 0
2 years ago
Please help and show work if you can​
krok68 [10]

Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = \frac{4}{2}

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = \frac{78}{2}

  = 39

y = 39

x = 21, y = 39

4 0
3 years ago
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