Answer:
3h-4.5
Step-by-step explanation:
3/4(4h-6)
12/4h-18/4
3h-4.5
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Answer:
b
Step-by-step explanation:
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:

Likewise:

Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

Likewise:

Since ∠QAC ≅ ∠PAB:

And by substitution:

Thus:

Then by SAS Congruence:

And by CPCTC:

X+(x+1)=17
So 2x+1=17
Which means 2x=16
Which then means x=8
But you still need the second number, which is x+1, so 8+1=9.
This means that the consecutive numbers are 8 and 9.
Part a: Option D 18 feet per second
Part b: increasing
Solution:
Height 
Part a: To find the average rate of change for h(t) between t = 0 and t = 2.
Substitute t = 0 in h(t).

h(0) = 3
Substitute t = 2 in h(t).
h(2) = 39
Average rate of change formula:

Here, a = 0 and b = 2.



= 18
Average rate of change = 18 feet per second
Option D is the correct answer.
Part b:
This means height of the ball is increasing for 0 < x < 2.