Answer:
The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.
Step-by-step explanation:
However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational." Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
Answer:
28 -16n
Step-by-step explanation:
Use the distributive property, then collect terms.
4 +8(-2n +3)
= 4 +8(-2n) +8(3)
= 4 -16n +24
= 28 -16n
_____
This could also be written
-16n +28
but then the leading sign would be negative. Sometimes leading minus signs get lost, so I prefer the first term to be positive.
Answer:
y = 1/2x
Step-by-step explanation:
Use slope = rise/run.
Answer:
angle of 90 degrees
Step-by-step explanation:
if the length satisfy the pythagorean theorem (a2+b2=c2) then it is a right traingle
Answer:
0.38 l
Step-by-step explanation:
Bottles:
- 650 ml
- 0.38 l= 380 ml
- 5020 ml
- 0.045 l= 45 ml
Closest to 1/2 l= 500 ml volume? The difference between the given and 500 ml volume:
- 650 ml- 500 ml= 150 m
- 380 ml- 500 ml= -120 ml
- 5020 ml- 500 ml= 4520 ml
- 45 ml- 500 ml= - 455 ml
The smallest absolute difference in the list above is -120 so the closest one to 1/2 liters is 380 ml= 0.38 l
