Mathematically, t can take any value, so the domain would be R.
In reality (physics), I would expect t≥0.
Mathematically, the range is h≤98/5, and will become infinitely negative.
In reality, h is probably ≥0, making the range 0 ≤ h ≤ 98/5.
So it depends on whether you want to take the real-world limitations into account. Seen as how they are mentioned in the question prominently, I would do so.
Answer:
Samuel slept for 1/4 of the distance.
Step-by-step explanation:
The information provided are:
- Samuel fell asleep halfway home.
- He didn't wake up until he still had half as far to go as he had already
- gone while asleep.
Consider that the total distance covered was 1.
Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.
It is provided that he woke up only after covering half of the remaining distance.
That is, he slept for 1/4 of the remaining distance.
Thus, Samuel was asleep for 1/4th of the entire trip home.
Answer:
x=5
Step-by-step explanation:
The exterior angle of a triangle theorem states the angles V and U (in the diagram) will equal angle UTK.
40°+12x=21x-5
Now we just solve like a regular equation
40+5=21x-12x
45°=9x
45°÷9=9x÷9
5=×
Answer:
(2x+1)²= (2x+1)(2x+1)
Step-by-step explanation:
(2x)²+2×2x×1+1²=(2x+1)²
Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!