Answer:
Yes
Step-by-step explanation:
Yes.
Let's first start with even numbers. (N - even number)
Any even number squared, is an even number. Then, we add that squared even number to another even number which would give us an even number.
Now, let's see odd numbers.
Any odd number squared would be an odd number. When you add "N", it would be adding an odd number to an odd number, which gives you an even number.
OR
We can start by factoring the expression:

This is essentially multiplying two consecutive numbers, which in turn means that one number has to be even, and one has to be odd. An odd number multiplied by an even number will always be even.
Answer:
Nolan hitted 8 home runs
Step-by-step explanation:
Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.
So, we can write the following equations:
N = 2 * (D - 6)
N + D = 18
Now we can solve the system of equations, using the value of N from the first equation in the second one:
2 * (D - 6) + D = 18
2*D - 12 + D = 18
3*D = 30
D = 10
Now we find N:
N + D = 18
N + 10 = 18
N = 8
So we have that Nolan hitted 8 home runs.
Answer:
7.07 units
Step-by-step explanation:
Use the Pythagorean theorem for the right triangle:

If a = x, b = x, and c = 10, then

If a^ x = b then:
x = log_{a}b
For:
4^{7} = 16384 \\ log _{4}16384 = 7
Answer:
5 units.
Step-by-step explanation: