martinezadam576
Answered

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What is the standard form of this complex number?
[tex]\[ (24 - 10i) - (43 + 18i) \][/tex]

A. [tex]\(-19 - 28i\)[/tex]

B. [tex]\(67 + 28i\)[/tex]

C. [tex]\(-19 + 8i\)[/tex]

D. [tex]\(-19 + 18i\)[/tex]

Sagot :

GinnyAnswer
To determine the standard form of the complex number [tex]\( (24 - 10i) - (43 + 18i) \)[/tex], we need to perform the subtraction individually for both the real and imaginary parts.

1. Subtract the real parts:
[tex]\[ 24 - 43 = -19 \][/tex]

2. Subtract the imaginary parts:
[tex]\[ -10i - 18i = -28i \][/tex]

Combining these results, the standard form of the complex number is:
[tex]\[ -19 - 28i \][/tex]

Thus, the correct answer is:
[tex]\[ \boxed{-19 - 28i} \][/tex]

So, the correct option is:
[tex]\[ \mathbf{A. \, -19 - 28i} \][/tex]
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