Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16
= ( 4
)² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16
- 1
= (4
)² - 1²
= (4
- 1)(4
+ 1)
4
- 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16
- 1
= (2x² - 1)(2x² + 1)(4
+ 1 )
As humans we live with math on a daily bases. If that is cooking, traveling (Ex. calculating the miles and how much gas it will use), for heath (calculating calories), etc.
Answer:
719 km/hour
Step-by-step explanation:
To find the unit rate you have to divide
3595/5 = 719 km/hour
Answer:
The answer to your question is VW = 2.2
Step-by-step explanation:
Data
angle = 63°
hypotenuse = ?
adjacent side = 1
Process
To solve this problem use trigonometric functions, the trigonometric function that relates the adjacent side and the hypotenuse is cosine.
cos α = 
solve for hypotenuse
hypotenuse = 
Substitution
hypotenuse = 
Simplification
hypotenuse = 
Result
hypotenuse = 2.2
Answer:
243 = 3⁵
Step-by-step explanation:
Firstly we will find the factors of 243. On calculating it see that the factors of 243 are 3 x 3 x 3 x 3 x 3.
or
243 = 9 x 9 x 3
We need to write 243 as the product of primes.
The number that divides itself or 1 are prime numbers.
3 is the only prime number here such that,
243 = 3⁵
Hence, this is the required solution.