The answer is 8m
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Answer:
<em>Proof in explanation</em>
Step-by-step explanation:
<u>Trigonometric Identities</u>
The basic trigonometric identity is:
We'll use it and some basic algebra to prove that, given:
And
Then
From the equation:
We have:
The equation
Can be rewritten as
Replacing [1]:
Taking the common factor:
The expression in parentheses is 1, thus:
Dividing by
Replacing in
We have
Dividing by
Now:
This expression is 1, thus it's proven:
Answer:
30 - 12x or 6(5 - 2x)
Step-by-step explanation:
Given expression:
First, let us simplify the expression inside the parentheses;
- ⇒ 4[5 + (-3x)] + 10
- ⇒ 4[5 - 3x] + 10
Then, let us open the parentheses by simplifying the distributive property;
- ⇒ 4[5 - 3x] + 10
- ⇒ 20 - 12x + 10
Finally, let us simplify the expression by adding 10 to 20.
- ⇒ 20 - 12x + 10
- ⇒ 30 - 12x
[Optional] Factor the expression by putting the expression in parentheses.
Since 6 is divisible to all the terms in the expression, we can divide 6 to all the terms in the expression and take "6" outside the parentheses.
- ⇒ 6(30/6 - 12x/6)
- ⇒ 6(5 - 2x)
Therefore, the simplified expression is 30 - 12x or 6(5 - 2x).