Answer:
Greatest vessel to fill each in exact number of times is 6 litres
Step-by-step explanation:
To solve this, we will find the greatest common factor of 36,18 and 72
Thus;
Their prime factors are;
18: 2, 3
36: 2, 2, 3, 3,
72: 2, 2, 2, 3, 3
The factors common to all of them are 2 & 3.
Thus;
GCF = 2 × 3 = 6
Answer:
Multiplication is commutative.
Step-by-step explanation:
Let n,m be two natural numbers.
We have to show that 
We will prove this by induction
For n = 1, we have
, which is true.
Let the given statement be true for n-1 natural numbers, that is,

Now, we have to show that it is true for n natural numbers.

which is equal to




Hence, by principal of mathematical induction, the given statement is true for all natural numbers.
Answer:
Hi, the answer is 38,542
Step-by-step explanation:
Answer:
1/2
-1/2
Step-by-step explanation:
we know that
If a dilation produce a contraction that means that the absolute value of the scaling factor is less than 1
If a dilation produce an enlargement that means that the absolute value of the scaling factor is greater than 1
<u><em>Verify each case</em></u>
case 1) 2

----> is a enlargement
case 2) 1/2

----> is a contraction
case 3) -2

----> is a enlargement
case 4) -1/2

----> is a contraction