Using arithmetic sequence concepts, it is found that the common difference is of 0.25.
<h3>What is an arithmetic sequence?</h3>
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
In which 
is the first term.
In this problem, we have that:
Hence:
9 = 8 + 4d
4d = 1.
d = 0.25.
The common difference is of 0.25.
More can be learned about arithmetic sequence concepts at brainly.com/question/6561461
Answer:
Quadrant III
Step-by-step explanation:
If we look the form each coordinate takes in each quadrant we have:
Quadrant I →(+,+)
Quadrant II →(−,+)
Quadrant III →(−,−)
Quadrant IV →(+,−)
So, for (−5,−5)
Both are negative, (−,−), so the point is in quadrant III
It is 4 if you see in the bottom part the line stops at -4 that's why hope it helps
Cute one!
<span>
</span>Summarizing:
<span>sec(acot(tan(asin(sin(pi/3)))) .... use asin(sin(x))=x
</span>=sec(acot(tan(pi/3)))
=sec(acot(sqrt(3))) ......... use acot(x)=atan(1/x)
=sec(atan(1/sqrt(3)))
=sec(atan(sqrt(3)/3)) .... evaluate atan(sqrt(3)/3), use unit circle
=sec(pi/6)
=1/cos(pi/6)...... evaluate cos(pi/6), use unit circle
=1/(sqrt(3)/2)
=2/sqrt(3) .... now rationalize
=2sqrt(3)/3
