Use the Pythagorean theorem:

The length of the hypotenuse is approximately 14.1 in.
8 - sqrt(3) is indeed the conjugate of 8 + sqrt(3).
What are you asking here? You are to "evaluate or simplify" what?
Answer:
an = -8 +3(n-1)
an = -11 +3n
f(n) = -11 +3n
Step-by-step explanation:
–8, –5, –2, 1, 4, ...
This is an arithmetic sequence.
We are increasing by 3 each time
-8 +3 = -5
-5+3 = -2
-2 +3 = 1
The common difference is 3
The formula for an arithmetic sequence is
an = a1 +d (n-1)
an = -8 +3(n-1)
an = -8 +3n -3
an = -11 +3n
The nth term is -11 +3n
f(n) = -11 +3n
Answer:
x=4 y=1
Step-by-step explanation:
given equation
x+y=5
so x= 5-y.......(i)
and
x-2y=2
so x= 2+2y........(ii)
then
5-y=2+2y
therefore y=1
and x=4
Answer:
Step-by-step explanation:
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