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Angelina_Jolie [31]
3 years ago
5

Simplify the expression by combining like terms 9x + 8 + 3x + 4

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
8 0

Answer:

11x + 12

Step-by-step explanation:

9x + 3x = 11x

8 + 4 = 12

xxTIMURxx [149]3 years ago
5 0

Answer:

24x²

Step-by-step explanation:

first add 9 plus 8 plus 3 plus 4 to get 24 then since there are 2 x's that makes in 24x²

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2 years ago
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Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18° ​
MArishka [77]
<h3>Answer:  cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

  • cos(94)cos(18) + sin(94)sin(18) = 0.24192
  • cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

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