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const2013 [10]
3 years ago
7

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +

5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 2? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition
Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

Commutative Property of Addition

Step-by-step explanation:

3(x − 4) + 5x = 9x − 36

3x − 12 + 5x = 9x − 36  Distribute

3x + 5x − 12 = 9x − 36 Commutative Property of Addition

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Verify the identity tan(???? − ????) = tan(????)−tan(????) / 1+tan (????) tan(????) for all (???? − ????) ≠ ???? / 2 + ????n.
Anna11 [10]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following identity:

tan(x-y) = \frac{tan x - tan y}{1 + tan x tan y}

So we need to begin with the definition of tan, we know that tan x = \frac{sin x}{cos x} and we have this:

tan (x-y) = \frac{sin(x-y)}{cos(x-y)}   (1)

We also have the following identities:

sin (a-b) = sin a cos b - sin b cos a

cos(a-b) = sin a sin b + cos a cos b

And if we apply those identities into equation (1) we got:

tan(x-y) = \frac{sin x cos y - sin y cos x}{sin x sin y + cos x cos y}   (2)

We can divide numerator and denominator from expression (2) by \frac{1}{cos x cos y} like this:

tan(x-y) = \frac{\frac{sin x cos y}{cos x cos y} - \frac{sin y cos x}{cos x cos y}}{\frac{sin x sin y}{cos x cos y} + \frac{cos x cos y}{cos x cos y}}

And if we simplity we got:

tan(x-y) = \frac{tan x - tan y}{tan x tan y +1 }

And with that we complete the proof. And that appies for all (x-y) \neq \frac{\pi}{2} +n\pi

6 0
4 years ago
2+2+2+50=? Free points and brainliest. Im not kidding.
denis-greek [22]
I believe the answer is 56 because 2+2+2 is 6 and 50 + 6 is 56
3 0
3 years ago
Read 2 more answers
What is the partial products for 28×43
Schach [20]
It is 28×43≈1204 that is the answer
4 0
3 years ago
Which of the following expressions is equivalent to 6m - 10?
Natasha_Volkova [10]
Just calculate this:
A) 2(3m + 5) = 6m + 10 - incorrect
B) -2(5 - 3m) = -10 + 6m - could be correct
C) 2(3m - 10) = 63 - 20 - incorrect

So <u>the correct answer has to be B</u>: -10 + 6m is the same as 6m - 10.
3 0
3 years ago
Statistics I’m taking a text and I need help on this topic
attashe74 [19]

Answer:

c statics is theeitifidiejjr

3 0
3 years ago
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