Final answer:
The opposite of -45 is 45, and the expression representing this is -(-45), making option b the correct answer.
Step-by-step explanation:
The question asks which expression is equal to the opposite of -45. The opposite of a number is found by changing the sign of the number; to find the opposite of -45, we change its sign to positive. Therefore, the opposite of -45 is 45.
Looking at the options given:
a) -1451 is not correct because it is just a negative number that is not related to -45.
b) -(-45) is correct because the negative of a negative number is positive, so this is equal to 45, which is the opposite of -45.
c) -1-451 is not relevant.
d) -45 is simply the original number and not the opposite.
Therefore, the correct answer is b) -(-45).