Question

Which properties are used to add these complex numbers? choose all that apply. (5+2i)+(6+7i)=(5+6)+(2i+7i)=11+9i

A. distributive property
B. associative property
C. commutative property
D. none of the above

Answer 1

Answer:b & c

Step-by-step explanation:

Answer 2

B. associative property

C. commutative property

Step-by-step explanation:

A complex number is defined by the form:

`a+bi \\ \\ Where: \\ \\ a,b \ are \ constant \ numbers \\ \\ i \ is \ the \ imaginary \ number`

Here we use:

B. associative property

C. commutative property

Let's rewrite our expressions as:

Step 1.

`(5+2i)+(6+7i)`

Step 2.

`(5+6)+(2i+7i)`

Step 3.

`11+9i`

So in step 2 we apply those properties because we make the commutation of 6 and 2i and perform the association using parentheses.