To calculate the absolute value (also known as modulus or magnitude) of a complex number, we use the formula:
|a + bi| = √(a² + b²)
Given the complex number -9 + 12i, we can apply this formula:
|-9 + 12i| = √((-9)² + 12²)
= √(81 + 144)
= √225
= 15
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