
n is an integer, so 2n+1 is also an integer. 8s+1 is equal to the square of 2n+1, so it's a square number.
2n+1 is an odd integer for any value of n. The square of an odd integer is always an odd integer. Therefore 8s+1=(2n+1)² is odd.
8s+1 is an odd square number.
Answer: 14
Step-by-step explanation:
Since it is a right angles triangle , Pythagoras theorem will come into play,which states that;
the square of the hypotenuses = square of the adjacent + square of the opposite , that is
=
+ 
Therefore:
=
- 
= 484 - 289
= 195
RT = 
RT = 13.96
RT≈ 14
Answer with Step-by-step explanation:
We are given that n and m are two integers
We have to prove that if n-m is even , then
is also even.
We know that sum of two odd numbers is even.Sum of an odd number and even number is odd.
Product of an odd number and even number is even.
Case 1.Suppose m and n are both even n=4 , m=2


Case 2.Suppose m odd and n odd
n=9,m=5


Hence, proved.
1. 8(-5/6) = (-5/6)8 illustrates the commutative property of multiplication.
2. 5.4 + 3 = 3 + 5.4 illustrates the commutative property of addition.
<h3>What is the Commutative Property of Multiplication?</h3>
The commutative property of multiplication states that the arrangement of change of numbers that you want to multiply does not change what you would get as the product.
For example, a × b = b × a.
In the same vein, 8(-5/6) = (-5/6)8 illustrates the commutative property of multiplication.
<h3>What is the Commutative Property of Addition?</h3>
The commutative property of addition also states that the order or arrangement of addends will not change the sum you would get.
For example, 3 + 2 = 2 + 3.
Therefore, the statement, 5.4 + 3 = 3 + 5.4 illustrates the commutative property of addition.
Learn more about the commutative property on:
brainly.com/question/2475734
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I was never sure of what the "additive inverse" is.
So, just now, just for you, I went and looked it up.
The additive inverse of any number ' A ' is the number
that you need to ADD to A to get zero. That's all !
So now, let's check out the choices:
a), 6, -(-6)
That second number, -(-6), is the same as +6 .
So the two numbers are the same.
Do you get zero when you add them up ? No.
b). -7, 7
What do you get when you add -7 and 7 ?
You get zero.
So these ARE additive inverses.
c). -7, -7
What do you get when you add -7 to -7 ?
You get -14 . That's not zero, so these
are NOT additive inverses.
d). 7, 7
What do you get when you add 7 to 7 ?
You get 14. That's NOT zero, so these
are NOT additive inverses.
e). 6, -6
What do you get when you add 6 to -6 ?
You get zero.
So these ARE additive inverses.
What do we end up with from the list of choices:
a)., c)., and d). are NOT additive inverses.
b). and e). ARE additive inverses.