Answer:
2x
Step-by-step explanation:
we can use the Pythagorean Theorem to find the missing side (a):
a² + (2x)² = (8x)²
a² + 4x² = 64x²
a² = 60x²
a = √60x²
a = 
· · 
This can be simplified to be 2x
The answer to this rests on knowing that there are four properties of multiplication (which your teacher will likely expect you to know...):
These are:
1. commutative
2. associative
3. multiplicative identity
4. distributive
I won't define each of these -- they should be in your notes or textbook. Look them up.
In this case, we are multiplying three terms together -- on the left hand side the parentheses mean to multiply a and b first, then multiply that by 3. On the right hand side, we multiply b times 3 first, and then multiply the product by a.
This would be an example of the associative property of multiplication: when three or more factors are multiplied together, the product is the same regardless of how the factors are grouped.
Hope this helps!
Good luck
Part A
The given expression is:
We expand to get:
Note that 
Part Bi)
The given expression is;
We simplify to get:
Note that:
This is now of the form 
, where 
.
This explains why it is a complex number;
Part bii)
The given expression is :
We simplify to get
Part C
We want to simplify:
We rewrite in terms of 
Answer:
y= 10
Step-by-step explanation:
-3x-5y=4
+3x +3x
-5y=7x
+5y +5y
y= 10
