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Which expression is equivalent to -80?
a. -4.5
b. 0 - 4i
c. 4 + 5i
d. 4 - 5

1 Answer

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Final answer:

None of the provided options (a. -4.5, b. 0 - 4i, c. 4 + 5i, d. 4 - 5) are equivalent to -80; each is either a real number far less in magnitude or a complex number which cannot be compared directly with a real number.

Step-by-step explanation:

To determine which expression is equivalent to -80, we need to evaluate each option:

a. -4.5 is not equivalent to -80 because it is a real number that is far less in magnitude than -80.

b. 0 - 4i is a complex number where the real part is 0 and the imaginary part is -4i, which is not equivalent to -80.

c. 4 + 5i is another complex number that is not equivalent to -80 since its real part, 4, and imaginary part, 5i, do not combine to -80.

d. 4 - 5 is a simple arithmetic expression which equals -1, again not equivalent to -80.

Therefore, none of the provided options are equivalent to -80.

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