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Write each expression in the form \(a+bi\), where \(a\) and \(b\) are real numbers. You may plot the numbers in the complex plane as a guide.
Which expression is equivalent to \((3+9i) - (5-3i)\)?
\(\text-2 - 12i\)
\(\text-2 + 12i\)
\(15 + 27i\)
\(15 - 27i\)
What are \(a\) and \(b\) when you write \(\sqrt{\text-16}\) in the form \(a+bi\), where \(a\) and \(b\) are real numbers?
\(a=0\), \(b=\text-4\)
\(a=0\), \(b=4\)
\(a=\text-4\), \(b=0\)
\(a=4\), \(b=0\)
Fill in the boxes to make a true statement: \(\displaystyle (\boxed{\phantom{30}}-3i) - (15+\boxed{\phantom{30}}i) = 7 - 12i\)
Plot each number on the real number line, or explain why the number is not on the real number line.
Which expression is equivalent to \(\sqrt{\text-4}\)?
\(\text-2i\)
\(\text-4i\)
\(2i\)
\(4i\)