Given:
x, y and z are integers.
To prove:
If
is even, then at least one of x, y or z is even.
Solution:
We know that,
Product of two odd integers is always odd. ...(i)
Difference of two odd integers is always even. ...(ii)
Sum of an even integer and an odd integer is odd. ...(iii)
Let as assume x, y and z all are odd, then
is even.
is always odd. [Using (i)]
is always odd. [Using (i)]
is always even. [Using (ii)]
is always odd. [Using (iii)]
is always odd.
So, out assumption is incorrect.
Thus, at least one of x, y or z is even.
Hence proved.
Answer:
free points after this thx for them
Step-by-step explanation:
28x+40 add up all of the x’s and then all the normal numbers
Answer:
Option (4)
Step-by-step explanation:
To calculate the volume of a pyramid we use the formula,
V = 
Area of the square base = (Side)²
= (6)²
= 36 square ft
Height of the pyramid 'h' =
[By Pythagoras theorem]
h = 
h = 
h = 4 ft
Therefore, volume of the given pyramid = 
= 48 cubic ft
Option (4). 48 ft³ will be the answer.
A Total of 6 Days!
Cheers:D