which of the following best describes the line the arrow is pointing to in the regular pentagon below? A. Leg B. Diagonal C. Bas
1 answer:
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Answer:
Step-by-step explanation:
We are given that a and b are rational numbers where and x is irrational number .
We have to prove a+bx is irrational number by contradiction.
Supposition:let a+bx is a rational number then it can be written in form
where
where p and q are integers.
Proof:
After dividing p and q by common factor except 1 then we get
r and s are coprime therefore, there is no common factor of r and s except 1.
where r and s are integers.
When we subtract one rational from other rational number then we get again a rational number and we divide one rational by other rational number then we get quotient number which is also rational.
Therefore, the number on the right hand of equal to is rational number but x is a irrational number .A rational number is not equal to an irrational number .Therefore, it is contradict by taking a+bx is a rational number .Hence, a+bx is an irrational number.
Conclusion: a+bx is an irrational number.
Answer:
It will take 1 hour to type the report.
Step-by-step explanation:
The time that will take to John to type the report is:
Since we have 60 minutes in 1 hour, the time in hours is:
Therefore, it will take 1 hour to type the report.
I hope it helps you!