Answer:
i^16 = 1
Step-by-step explanation:
i = √-1 = i
i^2 = i * i = (√-1)^2 = -1
i^3 = i^2 * i^1 = -1 * √-1 = -√-1 or -i
i^4 = i^2 * i^2 = -1 * -1 = 1
the order keeps following......
i^16 = 1
since i^16 is same thing as i^4 * i^4
and we know i^4 = 1 so 1*1=1
Answer:
10 pair of soccer shorts.
Step-by-step explanation:
Let the unknown be x.
Translating the word problem into an algebraic equation, we have;
2/5 yard = 1 pair of short
4 yard = x pair of short
Cross-multiplying, we have;
2x/5 = 4
Multiplying both sides by 5, we have;
2x = 20
x = 20/2
x = 10 pair of soccer shorts.
Answer:
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Step-by-step explanation:
<h3>Given binomial:</h3>
x⁴ + 4y⁴
In order to factorize it, follow the steps:
<h3>Complete the square:</h3>
- x⁴ + 4y⁴ =
- (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
- (x² + 2y²)² - (2xy)² =
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Used identities:
- (a + b)² = a² + 2ab + b²
- a² - b² = (a + b)(a - b)
Answer:
the third option
Step-by-step explanation:
The answer is 12. Matthew would be 12 & Elizabeth would be 7. 12+7=19. So C is your answer.
