Answer:
x² - 2x - 8
Step-by-step explanation:
The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.
(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8
Answer:
The value of x is reciprocal of the difference of a and b.
Step-by-step explanation:
We are given the equation, 
On simplifying, we get,

i.e. 
i.e. 
i.e. 
So, we get,
The value of x is
.
That is, the value of x is reciprocal of the difference of a and b.
The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.
Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
Answer:
37.7 yd
Step-by-step explanation:
The circumference of a circle can be found using the formula ...
C = 2πr
For a radius of 6 yd, the circumference is ...
C = 2π(6 yd) = 12π yd ≈ 37.7 yd
The length of the circular border was 37.7 yards.