Answer:
Step-by-step explanation:
(x + 6)/2 = -3
x + 6 = -6
x = -12
(y - 2)/2 = 0
y - 2 = 0
y = 2
(-12, 2)
The average rate of change of f(x) on the interval [5, 5 + h] is 1
<h3>How to find the
average rate of change of f(x) on the interval [5, 5 + h]?</h3>
The equation of the function is given as:
f(x) = x + 11
The interval is given as: [5, 5 + h]
So, we start by calculating f(5) and f(5 + h)
This gives
f(5) = 5 + 11 = 16
f(5 + h) = 5 + h + 11 = h + 16
The average rate of change of f(x) on the interval [5, 5 + h] is then calculated as:
Rate = [f(5 + h) - f(5)]/[5 + h - 5]
Substitute the known values in the above equation
Rate = (h + 16 - 16)/(5 + h - 5)
Evaluate the sum and the difference
Rate = h/h
This gives
Rate = 1
Hence, the average rate of change of f(x) on the interval [5, 5 + h] is 1
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This is a particular case, but it is not necessarily true. If triangles STU and XYZ are similar, the corresponding sides are in the same proportion. So, there exists a number 
such that
So, if 
, the corresponding sides are actually congruent, but it can be any other number. For example, if 
, triangle XYZ is exactly twice as large as triangle STU, but they are still similar.
Answer:4 hours
Step-by-step explanation:
