Answer:
(x − 5)² + (y − 4)² = 4²
(x − 5)² + (y + 4)² = 4²
Step-by-step explanation:
x=1 and x=9 are vertical lines. If both are tangent to the circle, then the circle has a diameter of 8, or a radius of 4, and the center of the circle is on the line x=5.
y=0 is the x-axis. Since the circle is tangent to that, the center of the circle is either 4 units above the x-axis or 4 units below.
So two possible equations of the circle are:
(x − 5)² + (y − 4)² = 4²
(x − 5)² + (y + 4)² = 4²
Here's a graph: desmos.com/calculator/9e4lxx731u
I hope this helps you
Perimeter =2 (width +length )
Perimeter =2 (6,5+12)
Perimeter =2.18,5
Perimeter =37
2.(x - 3) - 5 = 4.(x + 3) - 2x
2x - 6 - 5 = 4x + 12 - 2x
2x - 4x + 2x = 12 + 6 + 5
4x - 4x = 23
0 = 23
Something is wrong, you must have wrote something wrong
We need to create two expressions, then equate them in order to find the numbers of hours.
Let X = Number of hours
Let 1200+18x = Company A (Flat Fee + Hourly Rate*Hours)
Let 900+23x = Company B
After 60 hours, the prices will be the same
First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!