Algebra 2- helene is finding the sum (9 + 10i) + (–8 + 11i). she rewrites the sum as (–8 + 11)i + (9 + 10)i. which statement explains the property of addition that she made an error in using? a. helene incorrectly used the associative property by changing the order of the two complex numbers. b. helene incorrectly used the identity property by combining the real number and the coefficient of the imaginary part. c. helene incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

option b is correct.

as. helene incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.

step-by-step explanation:

given:   helene is finding the sum (9 + 10i) + (-8 + 11i)            

property of addition of complex number states that the sum   of two complex numbers and is defined as the complex number   i.e  

=  

it is observed that while adding two complex numbers the real and imaginary parts of the system is obtained by adding the real and imaginary parts of the summands.

apply this on [1] we have;

using commutative property i,e on real number and coefficient of the imaginary part

we have;

(9+(-8)) + (10+11)i = = = (-8+11i)+ (9+10i)

helena rewrite the sum as which was incorrect.

as, helene incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.

the answer is d

step-by-step explanation: