What does perpendicular mean? Well, in elementary geometry it mean 2 lines that intersect at a right angle. (90°).
So for Part one. all you need to do is draw a straight line down from the point X. Name the end point of that line M.
Now you will connect the line M and Z.
Thats it! I hope this helped!! :)
Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
<em>Determining the common difference</em>
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by

substituting a₁ = 9, d = 8 in the equation


Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Answer:

Step-by-step explanation:
The mid point can be found with the formula

The given coordinates are
and
.
Replacing coordinates in the formula, we have

Therefore, the mid point of the segment PQ is 
Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>