Answer: it will take 41 nights for the points he earns with either hotel to be the same.
Step-by-step explanation:
Let x represent the number of nights that it will take for the points he earns with either hotel will be the same.
Hotel Elegance is currently offering 525 points for signing up, plus 35 points for every night Alec books at the hotel. This means that the number of points that Alec will get of he spends x nights at the hotel is
35x + 525
Alternatively, Hotel Paradiso is offering a sign-up bonus of 402 points, plus 38 points per night. This means that the number of points that Alec will get of he spends x nights at the hotel is
38x + 402
For the points to be the same at either hotels, the number of nights would be
35x + 525 = 38x + 402
38x - 35x = 525 - 402
3x = 123
x = 123/3 = 41
<span>In general, the height of a projectile is given by
</span>

<span>
where </span>

is the height at time

of a projectile shot upward at velocity

from initial height

<span>.
The acceleration of gravity </span>

<span> We give it a negative sign in the equation because it pulls down.
Let's apply it to each group.
Group A launches a tennis ball straight up with an initial velocity of 19 meters per second.
We have MKS units, positive (upward) velocity and an initial height of 0.
</span>

<span>
Group B launches a tennis ball straight up with an initial velocity of 50 feet per second. Not metric, velocity +50, initial height zero.
</span>

<span>
Group C drops a tennis ball from a height of 19 meters.
MKS, initial height 19, initial velocity zero.
</span>

<span>
Group D drops a tennis ball from a height of 50 feet.
</span>

<span>
</span>
You ARE going to be 79 anos because i subtracted 2016 ands 1937 and got 79
(x, y)
When you are asked for the midpoint, just find the average for both the x and y components:
So the midpoint for A(-3, -3) and B(6, 6)
The xs components are -3, and 6, Average = (-3 + 6)/2 = 3/2 = 1.5
The ys components are -3, and 6, Average = (-3 + 6)/2 = 3/2 = 1.5
So the midpoint is (1.5, 1.5)
I hope this helps.