Answer:
19 - 8√3
Step-by-step explanation:
(-4 + √2)^2
= (-4)^2 + 2(-4)(√3) + √3)^2
= 16 - 8√3 + 3
= 19 - 8√3
Answer:
±90
Step-by-step explanation:
√(-225) · √(-36) = (15i)·(6i) = 90i² = 90·(-1) = -90
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On the other hand, ...
... √(-225) · √(-36) = √((-225)·(-36)) = √8100 = 90
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If you consider all the roots at each stage, the result is ±90. Since you're working with complex numbers here, it is reasonable to recognize every number has two square roots.
... √(-225) = ±15i
... √(-36) = ±6i
... √(-225) · √(-36) = (±15i)·(±6i) = ±90i² = ±90
Answer:
Step-by-step explanation:
Order is operation is PEMDAS which means Parentheses, Exponents Mulitiplication,division,Addition and Subtraction so you follow the order whether they exist or not.
So (41-3^2)-(4+4)=
41-9-8 = 32-8 = 24
Answer: A. 20%
Step-by-step explanation:
First, to find the total number of teachers, we can add 25+32+18+5+20=100
Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:
20 ÷ 100 = 0.2
Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20
Therefore, the correct answer is A.
