I)
The Midpoint M of the line segment AB is found using the Midpoint formula:

ii)
the slope of the line through A and B is found by the slope formula:

iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6
Given:
The matrix multiplication

To find:
The order of resulting matrix.
Solution:
We know that, if order of first matrix is
and the order of second matrix is
, then the order of these two matrices is
.
We have,

Here, the order of first matrix is
and the order of the second matrix is
. So, the order of the second matrix is
. It is also written are 2 by 1.
Therefore, the correct option is A.
Answer:
B
Step-by-step explanation:
Answer:
p = all real numbers
Step-by-step explanation:
First distribute the numbers to the expressions inside the parenthesis
-11 + 10(p + 1) = -16 + 5(2p + 3)
-11 + 10p + 10 = -16 + 10p + 15
Then, add up the like terms
10p - 1 = 10p - 1
Add one to both sides
10p - 1 = 10p - 1
+ 1 + 1
10p = 10p
Divide both sides by 10
10p/10 = 10p/10
p = p
This means that no matter what you plug in for p, it will always be true.