Question

Evaluate the expression (-5-6i)+(-4+7i) and write the result in the form a+bi.

Answer 1

The expression (-5-6i)+(-4+7i) evaluates to -9 + i.

Step-by-step explanation:

To evaluate the expression (-5-6i)+(-4+7i) and write the result in the form a+bi, we can simply add the real parts and the imaginary parts separately.

Real part: -5 + (-4) = -9

Imaginary part: -6i + 7i = i

So the result is -9 + i, written in the form a+bi.

Answer 2

The simplified form of the expression ( -5 - 6i ) + ( -4 + 7i ) in the form a+bi is -9 + i.

Given the expression in the question:

( -5 - 6i ) + ( -4 + 7i )

To evaluate the expression ( -5 - 6i ) + ( -4 + 7i ), first, we add the real parts then add the imaginary parts, and then combine them.

( -5 - 6i ) + ( -4 + 7i )

Note that, the real parts are the constant terms and the imaginary parts are the terms with i:

First, we add the real part:

(-5) + (-4 ) = -5 - 4 = -9

Next, we add the imaginary part:

(-6i) + (7i) = -6i - 7i = 1i = i

Finally, we combine:

-9 + i

Therefore, the simplified form of the expression is -9 + i.