The properties 1‚ 2‚ 4‚ and 5. are used
Sqrt(-108) - sqrt(-3) produces two imaginary terms: -i*sqrt( 36*3) -i*sqrt( 3).
Let's simplify that:
-i [ 6*sqrt(3) - 1*sqrt(3) ] = -i * 5* sqrt( 3) (answer)
3 (x + 1) = 5 + x
First you must distribute the 3 to the values inside the parentheses:
3 (x + 1) = 5 + x
(3 * x) + (3 * 1) = 5 + x
3x + 3 = 5 + x
Now you must combine like terms. Like terms are numbers that have matching variables like 3x and x OR are numbers with out variables like 3 and 5.
3x - x = 5 - 3
2x = 2
Next, to completely isolate x, divide 2 to both sides. Since 2 is being multiplied by x, division (the opposite of multiplication) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
2x / 2 = 2 / 2
1x = 1
Check:
3 (1 + 1) = 5 + 1
3 (2) = 5 + 1
6 = 6
^^^This is true, therefore:
x = 1
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Step-by-step explanation:
-½ - 4 = -1(½ + 4) = -1(4.5) = -4.5
Answer:
Step-by-step explanation:
<u>Exponents Properties</u>
We need to recall the following properties of exponents:
We are given the expression:
We need to express the following expression in terms of n.
It's necessary to modify the expression to use the given equivalence.
Recall 
. Thus:
Applying the property:
Substituting the given expression:
Or, equivalently:
