Perform the indicated operation. $$ \frac{-6-|-12+3|}{2-(-3)} $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ \frac{-6-|-12+3|}{2-(-3)}=\square $$ (Simplify your answer.) B. The answer is undefined.

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UpStudy AI · Accepted Answer

We start by simplifying the expression inside the absolute value:

$$
-12 + 3 = -9
$$

Taking the absolute value:

$$
|-9| = 9
$$

Now substitute back into the original expression:

$$
\frac{-6 - 9}{2 - (-3)}
$$

Simplify the numerator:

$$
-6 - 9 = -15
$$

And simplify the denominator:

$$
2 - (-3) = 2 + 3 = 5
$$

Thus, the expression becomes:

$$
\frac{-15}{5} = -3
$$

The simplified answer is $$ -3 $$.
The simplified answer is $$ -3 $$.

Perform the indicated operation. \( \frac{-6-|-12+3|}{2-(-3)} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \frac{-6-|-12+3|}{2-(-3)}=\square \) (Simplify your answer.) B. The answer is undefined.

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