Answer:
Center: (-5,10)
Radius: 2
Step-by-step explanation:
The equation of the circle in center-radius form is:

Where the point (h,k) is the center of the circle and "r" is the radius.
Subtract 121 from both sides of the equation:

Add 10x to both sides:

Make two groups for variable "x" and variable "y":

Complete the square:
Add
inside the parentheses of "x".
Add
inside the parentheses of "y".
Add
and
to the right side of the equation.
Then:

Rewriting, you get that the equation of the circle in center-radius form is:

You can observe that the radius of the circle is:

And the center is:

Answer:
4/5 is grater than 45/100
Step-by-step explanation:
Why?
because in percentage you make the bottom # a 100 one of them already has that and when it has 100 on the bottom it tells you that the top # is the percentage so 45/100 is 45%
now to make 4/5 a percentage what times 5 = 100?
20 does
so you times the top and bottom by 20
4*20= 80
now your fraction is 80/100 (top # tells you the %)
it's 80%
80% is grater than 45%
Answer: Cost of 1 soda = (Amount Juliana had- Cost of 3chips)/3
Step-by-step explanation: Cost of 3chips =$0.85×3= $2.55
Cost of 3 soda will be $6-$2.55
Cost of 1soda will be ($6-$2.55)/3
Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676