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:
Step-by-step explanation:
1 ) k²-8k = 0
k(k-8)=0
k = 0 or k=8
2) a²+5a=0
a(a+5) = 0
a=0 or a = - 5
3 ) 6n²+5n-25=0
delta = b²-4ac b =5 and a = 6 and c= - 25
delta = 5²-4(6)(-25) = 625 = 25²
n 1 = (-5+25)/12 = 20/12 = 5/3
n 2 = (-5-25)/12 = - 30/12 = -5/2
same method for 4) and 5)
Step-by-step explanation:
given,
amount she deposited in bank = $450
amount get automatic deducted each month for her gym membership = $35.20
So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8
so, $450 - 140.8 = $309.2
therefore, $309.2 amount will remain at the end of 4 months.
Answer:
her mistake is she didn't include pi which will change the number
Step-by-step explanation:
6x2=12
the diameter of the new circle is 12
12x pi or 3.14= 37.68
which is not double the diameter(12) of the circle