Answer:
(x - 7)² + (y + 2)² = (2√13)²
Step-by-step explanation:
We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):
r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.
Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²
Answer:
The correct scientific notation for the number 500.0 is 
Step-by-step explanation:
While writing a large number in scientific notation we do below mentioned two things.
- We take any number between 1 and 10
- Then we multiply this number with an exponent of 10.
Hence, any number in scientific notation is in the form 
Here a is any number between 1 and 10.
b is exponent of 10.
Now, writing 500 in scientific notation, we take a = 5
Hence, we have to take b = 2, since 5 multiplied by 100 equas 500.
Thus, we have

Answer:
DVD: $16
CD: $11
Step-by-step explanation:
These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:
3x+4y=92
2x+3y=65
When graphed, the solution is at (16,11).
Therefore, one DVD costs $16 and one CD costs $11.
Answer:
d
Step-by-step explanation:
If x +23 = 9, then, x = 9-23.
So x = -14