Answer:
rate of change = -32 feet/second
Step-by-step explanation:
h(t) = 64 – 16t2
t = time (seconds)
Look at the start of time where t = 0
h(t) = 64 - 16 * (0) * 2 = 64 feet
Then look at the specified time where t = 1.25 seconds
h(t) = 64 - 16 * (1.25sec) * 2 = 24 feet
rate of change = rate of change y / rate of change x
x = time, y = height
rate of change = (24 - 64) / (1.25 - 0) = -32 feet/second
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3
Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6
We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542
Based on the above calculations, the four numbers are:
542, 543, 544 and 555
Drag the tiles to the correct boxes to complete the pairs.
Find the distance between each pair of points.
6 units
5 units
2 units
4units
3 units
Answer:
x = 4 or x = -4
Step-by-step explanation: