Answer:
Option B. 
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to
where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values
step 2
Verify each case
case A) 
substitute the value of 
in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair Q not lie on the circle
case B)
substitute the value of 
in the equation of the circle and then compare the results
------> is true
therefore
the ordered pair R lie on the circle
case C) 
substitute the value of 
in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair S not lie on the circle
case D) 
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair T not lie on the circle
Considering the situation described, we have that:
a. x = 65 - 8 = 57.
b. You won the game, as you scored 137 and your friend 130.
<h3>What is the equation for the situation after five frames?</h3>
Your friend's score is of 65, and your score of x is 8 less than your friend, hence the equation is:
x = 65 - 8 = 57.
<h3>What are the final scores?</h3>
Your friend score doubled, hence his/her final score is:
2 x 65 = 130.
Your score increased by 80, hence your final score is:
57 + 80 = 137.
You won the game, as you scored 137 and your friend 130.
More can be learned about equations at brainly.com/question/25537936
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Answer:
The correct answer is certain with probability equal to 1.
Step-by-step explanation:
Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.
We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.
Here the experiment is picking a blue card from a bag containing all blue cards.
Possible outcomes are all the cards colored blue in the bag.
Total outcomes are also all the blue cards in the bag.
∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.
3
The equation you use to find the average rate of change, or slope, is
