Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form
where
. Consider the following cases.
Case 1. If
is even we have:
.
If we denote by
we have that
.
Case 2. if
is odd we have:
.
If we denote by
we have that 
This result says that the remainder when we divide the square of any odd integer by 8 is 1.
Answer:
They meet a line. Therefore, if two planes cut one another, then their intersection is a straight line.
Step-by-step explanation:
Answer with Step-by-step explanation:
We are given that
and
are linearly independent.
By definition of linear independent there exits three scalar
and
such that

Where 

We have to prove that
and
are linearly independent.
Let
and
such that





...(1)

..(2)

..(3)
Because
and
are linearly independent.
From equation (1) and (3)
...(4)
Adding equation (2) and (4)


From equation (1) and (2)

Hence,
and
area linearly independent.
In 3 hours, they could bake 87 birthday cupcakes. If you divid 145 by 5 this gives you 29, and you multiply this by 3 to find how many can be made in 3 hours, which gives you 87:) hope this helps!