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melomori [17]
2 years ago
9

Show your proof to the answer 2^9/2^5

Mathematics
2 answers:
dalvyx [7]2 years ago
7 0

Answer is 16.

Steps

2^5/ 2^5

to divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 9 to get 4.

Calculate 2 to the power of 4 and get 16.

Ksju [112]2 years ago
5 0

Answer:

2*2*2*2*2*2*2*2*2=512

2*2*2*2*2=32

512/32=16

Step-by-step explanation:

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Can someone please help me Factor 4x^2 - 81
Vsevolod [243]

Answer:

(2x-9)(2x+9)

Step-by-step explanation:

This is a difference of squares because it can be written as (2x)^2-9^2

The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)

So replace a with 2x and b with 9 giving us

4x^2-81=(2x-9)(2x+9)

3 0
3 years ago
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PLZ HELP
Alex

Answer:

The correct option is C ) 109.5°

Therefore,

m\angle E=109.5\°

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}

Substituting the values we get

\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}

\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}

Therefore,

\angle E=\cos^{-1}(-0.3333)

m\angle E=109.5\°       ............As it is in Second Quadrant

Therefore,

m\angle E=109.5\°

4 0
3 years ago
A. Identify the percentage, rate and base.
Finger [1]

Answer:

1. rate = 30, base = 40, percentage = 12

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4. rate = 4, base = 50, percentage = 20

5. rate = 75, base = 80, percentage = 60

Step-by-step explanation:

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We have used the point (2, 3) to find the equation but we could have used (4, 7). We would have got the same answer.

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