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Phantasy [73]
3 years ago
15

Rewrite 9+7=16 using the commutative law of addition

Mathematics
2 answers:
LiRa [457]3 years ago
6 0

Answer:

7 + 9 = 16

Step-by-step explanation:

The commutative law states that a + b = b + a and ab = ba.

This means that 9 + 7 = 7 + 9.

Therefore, we can rewrite the equation as 7 + 9 = 16.

avanturin [10]3 years ago
3 0
Commutative law: a+b=b+a thats it...
So 9+7 can also be written as 7+9=16
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the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.

the input goes to the 1st machine and the output of that goes to the 2nd machine.

a)

if she uses and input of 6 on the 2nd one, the result will be 6² - 6  = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.

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clearly we can never get an output  of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.

let's check something, we need a -5 on the 2nd, so

\bf \underset{final~out put}{\stackrel{y}{-5}}=x^2-6\implies 1=x^2\implies \sqrt{1}=x\implies 1=x

so if we use a "1" as the output on the first machine, we should be able to find out what input we need, let's do that.

\bf \underset{first~out put}{\stackrel{y}{1}}=\sqrt{x-5}\implies 1^2=x-5\implies 1=x-5\implies 6=x

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\bf \stackrel{first~machine}{y=\sqrt{\boxed{6}-5}}\implies y=\sqrt{1}\implies y=1 \\\\\\ \stackrel{second~machine}{y = \boxed{1}^2-6}\implies y = 1-6\implies y = -5

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3 years ago
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