Answer:
The product of
36√cis(π/8) and 25√cis(7π/6)
is
(225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]
Step-by-step explanation:
First note that
cis(π/8) = cos(π/8) + isin(π/8)
cis(7π/6) = cos(7π/6) + isin(7π/6)
cos(π/8) = (1/2)√(2 + √2)
sin(π/8) = (1/2)√(2 - √2)
36√cis(π/8) = (36/√2)√[√(2 + √2) + i√(2 - √2)]
cos(7π/6) = -(1/2)√3
sin(7π/6) = (1/2)√3
25√cis(7π/6) = (25/2)√3(-1 + i)
The product,
36√cis(π/8) × 25√cis(7π/6)
= (36/√2)√[√(2 + √2) + i√(2 - √2)] × (25/2)√3(-1 + i)
= (225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]
Assuming that these are seperate equations:
<h3>Problem 1: x^2-5x-6</h3><h3>Problem 2: x^2+3x-40</h3><h3>Problem 3: x^2-7x-30</h3>
Problem 1:
1) Use the sum-product pattern.
x² - 5x - 6
x² + x - 6x - 6
2) Common factor from the two pairs.
x² + x - 6x - 6
x (x + 1) - 6 (x + 1)
3) Rewrite in factored form.
x (x + 1) - 6 (x + 1)
(x - 6) (x + 1) ----> Answer
Problem 2:
1) Use the sum-product pattern.
x² + 3x - 40
x² + 8x - 5x - 40
2) Common factor from the two pairs.
x² + 8x - 5x - 40
x (x + 8) - 5 (x + 8)
3) Rewrite in factored form.
x (x + 8) - 5 (x + 8)
(x - 5) (x + 8) ----> Answer
Problem 3:
1) Use the sum-product pattern.
x² - 7x - 30
x² + 3x - 10x - 30
2) Common factor from the two pairs.
x² + 3x - 10x - 30
x (x + 3) - 10 (x + 3)
3) Rewrite in factored form.
x (x + 3) - 10 (x + 3)
(x - 10) (x + 3) ----> Answer
Cheers,
ROR
Answer:
3/2-u
Step-by-step explanation:
You need to break the question down by seeing that is it asking for u less than something so that means subtraction. You then see the quotient of 2 and 3 so then you put 3 over 2 to divide and then put your subtract 2 onto it
Answer:
2.99
Step-by-step explanation:
99.99 - 97 = 2.99
Answer:
No
Step-by-step explanation:
No, because 0.7 is greater than 0.07 {Tip: Look for place of the decimal}
0.7 is written as 7/10 and 0.07 is written as 7/100
0.7 which is 7/10 is also written as 70/100 Hence, it clearly that 70/100 is greater than 7/100
0.7 is greater than 0.07 because to compare between two decimal numbers, you should look at the number after the decimal point and 7 is greater than 0 in the tenth place.
[RevyBreeze]