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.
The answer is 3 because the y intercept is 2 and y/x would be up one over two
Answer:
24 ft^3
Step-by-step explanation:
Cylinder:
Volume = (pi)r^2h
Cone:
Volume = (1/3)(pi)r^2h
When using r and h for both a cylinder and a cone, the only difference is the factor of 1/3 for the volume of the cone.
A cone with the same radius and height as a cylinder has 1/3 the volume of the cylinder.
volume of cylinder = 72 ft^3
volume of cone = (1/3) * 72 ft^3 = 24 ft^3
Multiply the exponent outside the () with every exponent inside the ()