Answer:
No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.
Step-by-step explanation:
Answer:

Step-by-step explanation:
GIVEN: A hotel charges a
annual fee plus an additional
for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for
nights.
SOLUTION:
Annual fee charged by hotel 
amount charged each night we stay there 
Total number of nights we stay 
Total amount paid for
nights

Total amount paid 


average cost per night 
putting values,
average cost per night 

Hence average cost per night if we stay at hotel for
days is 
So subtract 55 from 35
35 - 55 = -20
then, put -20 over 55
-20/55 equals -0.36 repeating, rounded to -0.36, which equals 36%
the negative stands for decrease, so it's around 36% decrease
Answer:
The change to the face 3 affects the value of P(Odd Number)
Step-by-step explanation:
Analysing the question one statement at a time.
Before the face with 3 is loaded to be twice likely to come up.
The sample space is:

And the probability of each is:








P(Odd Number) is then calculated as:


Take LCM



After the face with 3 is loaded to be twice likely to come up.
The sample space becomes:

The probability of each is:








Take LCM


Comparing P(Odd Number) before and after
--- Before
--- After
<em>We can conclude that the change to the face 3 affects the value of P(Odd Number)</em>
Answer:
6
General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
9b⁶c⁵
<u>Step 2 Identify</u>
Our largest degree is the variable raised to the highest exponent.
b⁶ > c⁵
Therefore our degree is 6.