The true statements after evaluating the expression based on principle of commutativity and associativity are :
A: x + y = y + x
B; (x × y) × z = x × (y × z)
D: (x + y) + z = x + (y + z)
We are given;
x = a + bi
y = c + di
z = f + gi
Now according to properties of algebra, we know that;
- Commutative property states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. For example; a + b = b + a
- The Associative property states that; a × ( b × c) = b × (a × c) = c × (b × a)
Looking at the options :
A) x + y = y + x ; This is true as it follows Commutative property of addition
B) (x × y) × z = x × (y × z) ; This is true as it follows the Associative property.
C) x - y = y - x ; this is false as it does not follow both properties.
D) (x + y) + z = x + (y + z) ; This is true as it follows the Commutative property.
E) (x – y) – z = x – (y – z) ; This is False as it does not follow any of the 2 properties.
Read more on Associative and commutative properties at; brainly.com/question/549862
When describing a strange dream that you had, there are several ways to go about it and this is one:
- First introduce yourself into the story.
- Talk about how you fell asleep.
- Slowly guide the text into the dream.
- Talk about the different scenes in the dream and end it on the scene that felt the strangest to you.
- Explain why this was strange.
Writing an essay can be academic dishonesty so I will walk you through how to write one yourself.
<h3><u>Steps in the essay</u></h3>
Introducing yourself does not mean saying your name. You can simply use the pronoun, "I." Talk about what you were doing, for instance, walking home, or watching television.
Then talk about how you fell asleep - could be in your bed, on a seat on the bus, or even on a sitting room couch.
Then begin to talk about how the dream started. Talk about how the dream began and then progressed till you get to the strange events.
Talk about these strange events and end on the strangest; then explain why this scene was strange if it isn't apparent.
<h3><u>Conclusion</u></h3>
It is best to either use little detail or a lot of detail, avoid the middle ground.
Find out more on strange dreams at brainly.com/question/4295383.
