The radius is the distance from the center to any point. The distance from (2,1) to (0,1) is of course 2. The general formula for a circle with radius r and center (a,b) is

In our case we get
Answer:
162 hours
Step-by-step explanation:
1 day= 24 hours
24 times 6= 144
144 + 18= 162
X=36.... because 17-36=19
Answer:
a. 
b. The symbol y-bar represents the average price of hotels in the area
Step-by-step explanation:
a. The regression line equation is given by:

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,
y
Obtaining:
.
b. In a simple linear regression model the value of y-bar represents the average of all values of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.
Answer:

Step-by-step explanation:
Factorise the numerator and denominator
8a² - 2 ← factor out 2 from each term
= 2(4a² - 1) ← 4a² - 1 is a difference of squares
= 2(2a - 1)(2a + 1)
4a² + 4a + 1 ← is a perfect square
= (2a + 1)²
Thus

=
← cancel (2a + 1) on numerator/ denominator
= 
= 