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bogdanovich [222]
3 years ago
8

Simplify the expression (3 + 6x) - 2 (x + 1 ) + 5.

Mathematics
1 answer:
balandron [24]3 years ago
7 0
Step 1 :

Equation at the end of step 1 :

((6x + 3) - 2 • (x + 1)) + 5
Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4x + 6 = 2 • (2x + 3)

Final result :

2 • (2x + 3)
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Answer:

A

Step-by-step explanation:

We are given:

\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

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So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

\displaystyle \csc(\theta)=\frac{13}{5}

Since θ is in QIII, cosecant must be negative:

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Our answer is A.

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Answer:

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