Answer:
The length of the circular arc is 8.64 inches
Step-by-step explanation:
Length of circular arc (L) = central angle/360° × 2πr
central angle = pie/4 = 45°, r (radius) = 11 inches
L = 45°/360° × 2 × 3.142 × 11 = 8.64 inches (to two decimal places)
We are given two binomials: x+4 , x^2-9.
x+4 can't be factored. Therefore, it is a prime.
Let us work on x^2-9.
9 could be written as 3^2.
Therefore, x^2-9 = x^2 - 3^2.
Now, we can apply difference of the squares formula to factor it.
We know a^2 -b^2 = (a-b) (a+b).
Therefore, x^2 - 3^2 can be factored as (x-3) (x+3).
So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).
Answer:
3 ≤ w ≤ 4
Step-by-step explanation:
the statements are 3 ≤ w and 4 ≥ w ( or w ≤ 4 )
These can be combined into the single inequality
3 ≤ w ≤ 4
Answer: 4
Try just dividing 23/5 and you’d get 4 something. But since 5.97 is close to 6 you can also mentally divide 23/6 and get 3something (it’d be really close to 4)
