Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
$75.14. formula as follows ($79.99 - (($79.99/100)x12)) + ((($79.99/100)x12)/100)*6.75)
The angles of a triangle always equal to 180 degrees.
Knowing this, you can solve this by this equation
Angle A + Angle B + Angle C = 180
43 + 85 + Angle C = 180
Angle C = 180 - 43 - 85
Angle C = 52
Step-by-step explanation:
Let n be the number of nickels that Casey has.
We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.
Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.
Therefore, the expression 
will represent the total number of nickels that Casey and Megan have .
Upon combining like terms we will get,
Therefore, Casey and Megan have 5n nickels.
