Answer:
0 +256i
Step-by-step explanation:
According to Euler's formula, ...
(4 cis π/8)^4 = (4^4) cis (4×π/8) = 256 cis π/2 = 0 +256i
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"cis" is an abbreviation sometimes used for "cosine + i×sine". It simplifies writing the expression. Engineers sometimes simplify it further, writing 4∠(π/8) for the expression in this problem statement.
Answer:
1. -5
2. 0
Step-by-step explanation:
<em>1.</em> Distribute the Negative Sign:
=a−2a+−1(3a−(4a−5))
=a+−2a+−1(3a)+−1(−4a)+(−1)(5)
=a+−2a+−3a+4a+−5
Combine Like Terms:
=a+−2a+−3a+4a+−5
=(a+−2a+−3a+4a)+(−5)
Answer:
=−5
<em>2. </em>Distribute:
=(13)(5)+(13)(−t)+−5+t+(−12)(5)+(−12)(−t)
=65+−13t+−5+t+−60+12t
Combine Like Terms:
=65+−13t+−5+t+−60+12t
=(−13t+t+12t)+(65+−5+−60)
Answer:
=0
Answer:
2nd option will be the answer (y=4x²+48x+146)
Step-by-step explanation:
y=4(x+6)²+2
y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]
y=4(x²+12x+36)+2
y=4(x²)+4(12x)+4(36)+2
y=4x²+48x+144+2
y=4x²+48x+146