(4)+(14-4i)= Express your answer in the form (a+bi).

Identify real and imaginary parts: First, identify the real and imaginary parts of the complex numbers to be added. The first number is 4, which is a real number with an imaginary part of 0. So we can write it as (4 + 0i). The second number is already given in the form of a complex number: (14 - 4i). Now, we will add the real parts together and the imaginary parts together.Write the first number in complex form: Add the real parts: 4 (from the first number) and 14 (from the second number). 4 + 14 = 18Write the second number in complex form: Add the imaginary parts: 0i (from the first number) and -4i (from the second number). 0i - 4i = -4iAdd the real parts: Combine the results of the real and imaginary parts to express the sum in the form (a+bi). The sum is (18) + (-4i), which can be written as (18 - 4i).

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Math Problems

Algebra 2

Composition of linear functions: find an equation

Full solution

(4)+(14-4 i)=

\newline

Express your answer in the form

(a+b i)

Identify real and imaginary parts: First, identify the real and imaginary parts of the complex numbers to be added. $\newline$ The first number is $4$ , which is a real number with an imaginary part of $0$ . So we can write it as $(4 + 0i)$ . $\newline$ The second number is already given in the form of a complex number: $(14 - 4i)$ . $\newline$ Now, we will add the real parts together and the imaginary parts together.
Write the first number in complex form: Add the real parts: $4$ (from the first number) and $14$ (from the second number). $\newline$ $4 + 14 = 18$
Write the second number in complex form: Add the imaginary parts: $0i$ (from the first number) and $-4i$ (from the second number). $\newline$ $0i - 4i = -4i$
Add the real parts: Combine the results of the real and imaginary parts to express the sum in the form $(a+bi)$ . $\newline$ The sum is $(18) + (-4i)$ , which can be written as $(18 - 4i)$ .