Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
=
= - 
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
=
= 
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.
For the given sequence, we can note that:
when we multiply a previous term by 1/4, we get the next term where:
2 * 1/4 = 1/2
1/2 * 1/4 = 1/8
1/8 * 1/4 = 1/32
Therefore, we can say that our sequencer here (r) is equal to 1/4
The general formula to represent this sequence is:
an = a1 * r^(n-1) where :
an represent the nth term that we want to find
a1 represents the first term in the sequence = 2
r is the sequencer = 1/4
n represents the order of the term in the sequence
Based on the above, the equation will be:
an = 2 * (1/4)^(n-1)
Answer:
Given the parent function: 
Rule for Horizontal Stretches and Compression:
If parent function y=f(x), then y=f(cx) gives a horizontal stretch when c >1 and
a horizontal compression when 0<c<1.
therefore, by above definition
the function f(x) =
is a Horizontal compression by a factor of
therefore, the function f(x) =
is HORIZONTAL COMPRESSION of the parent function by a factor of 0.25
Answer: Um what?
Step-by-step explanation: