Answer:
Center: ( -1 , 2 )
Radius: 6
Step-by-step explanation:
The equation for a circle is given as follow:
Where,
the Center is: ( h , k ) (note that the signs of the number are different)
and the radius is: r
So if we compare the original circle equation to the equation in the question we can see that:
the Center is: (-1,2)
and the radius is: 
= 6
2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:
first sub y=2 in the equation to find the values for x:
AND 
AND 
- The points are A(5,2) and B(-7,2)
second sub x= -1 in the equation to find the values for y:
AND 
AND 
- The points are D(-1,8) and E(-1,-4)
After finding the points write them in the graph and match them together to get the like the circle in the picture below:
Let's pose this question a different way: what are the chances that one out of all possible events is going to happen? What are the chances that, if I roll a die, I will roll a 1, 2, 3, 4, 5, or a 6? What is the probability, if I flip a coin, that the outcome will either be heads or tails? When we take every possible outcome and add their probabilities together, the sum of the probabilities will be 100%, or 1.
Example:
Coin Toss:
Prob of Heads (.5) plus Prob of Tails (.5) = 1
Dice roll:
1/6 (odds of rolling any given number) times 6 (number of possibilities) = 1
Answer:
$43.4
Step-by-step explanation:
Let's say x is the cost per kilgram
30x = 93
x = 3.1
14x = 43.4
Answer:
Y= 1.5x
Step-by-step explanation:
What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)
I hope this will help
