Simplify the expression: 4(2 + 6j)
2 answers:
You might be interested in
Answer:
28. The difference represents an irrational number
29. The difference represents a rational number
30. The quotient represents a rational number
31. The quotient represents an irrational number
Step-by-step explanation:
* Lets explain how to solve the problem
- The rational number is any numbers can be put in the form of a/b,
where a and b are integers b ≠ 0
- Ex: 1 , 2/3 , 5/4 , 22/7 , 100 , ................
- The irrational number is any number that is not rational
- It is a number that cannot be written as a ratio of two integers
or cannot be expressed as a fraction
- Ex: √2 , √7 , π , ..... (π is irrational because it's approximated value)
- If the part of the the number is irrational, then the number
is irrational
- Ex: (5 + √3) , (√7 + 5) , 2√5 , √11/4 , 5/√13
* Lets solve the problems
28.
∵ √2/2 is an irrational number
∵ One term is an irrational number
∴ The difference represents an irrational number
29.
∵ The two terms are rational numbers
∴ The difference represents a rational number
30. ÷
∵ The two terms are rational numbers
∴ The quotient represents a rational number
31. ÷
∵ √2/2 is an irrational number
∵ One term is an irrational number
∴ The quotient represents an irrational number
Answer: The length of the candle was 13.5 inches before it was lit.
Step-by-step explanation:
Let the length of candle in the beginning be c.
Constant rate of change in length of candle= -1.6 inches per hour
Since rate of change is constant so the length of candle can be represented by a linear function [Linear function has constant rate of change.]
Linear function : f(x)= mx+c , where x= independent variable.
m= constant rate of change and c= initial value of function.
Let x = Number of hours after the candle was lit.
Put m= -1.6 , x= 3 and f(x)= 8.7 , we get
Hence, the length of the candle was 13.5 inches before it was lit.