Problem 16
<h3>Answer: i</h3>
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Work Shown:
The exponent 41 divided by 4 leads to
41/4 = 10 remainder 1
The "remainder 1" means that
i^(41) = i^1 = i
The reason why I divided by 4 is because the pattern shown below
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
repeats itself over and over. So this is a block of four items repeated forever.
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Problem 18
<h3>Answer: 1</h3>
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Work Shown:
Divide 3136 over 4 to get
3136/4 = 784 remainder 0
Therefore,
i^3136 = i^0 = 1
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Problem 20
<h3>Answer: i</h3>
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Work Shown:
Combine i^6*i^7 into i^13. We add the exponents here
Now divide by 4 to find the remainder
13/4 = 3 remainder 1
So, i^13 = i^1 = i
Answer:
Step-by-step explanation:
Compare y = mx + b to
y = -69x - 346.
Here the slope, m, equals -69 and the y-intercept, b, equals -346 (Answer C)
Answer:
A : 6.5
Step-by-step explanation:
Well when x is -1, y = 0, then when x is 0, y = 3 so it is increasing there...then when x is 1, y = 6, so it is still increasing, but then it goes back down to 3 when x is 2
Therefore, the largest interval would be from -1 to positive 1 (-1,1)
Hope this helps
Brian
Width= W
length=2w+11
diagonal=2w+13
use the Pythagorean Theorem
(2w+13)^2=w^2+(2w+11)^2
4w^2+52w+169=w^2+4w^2+44w+121
simplify
52w+169=w^2+44w+121
w^2+44w-52w-169+121=0
w^2-8w-48=0
factor
(w-12)(w+4)=0
w-12=0
w=12 inches (width)
l=2*12+11=35 inches (length)
