Answer:
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by:

Given
Center = (h,k) = (-3,1)
=> h = -3
=> k = 1
The distance between the center of circle and the point through which the circle passes will be the radius.
The distance formula is given by:

Given

Putting the values in the formula

Putting the values of h,k and r in general form of equation

Hence,
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Answer:
2 trees
Step-by-step explanation:
Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.
We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.
This means that the side lengths of both of them combined will be 
This means the side adjacent to Dayton Avenue is
feet long.
Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.

Rounding down gets us 2.
Hope this helped!
Answer: 92°
Step-by-step explanation:
180-88=92
Answer:
x = 1
Step-by-step explanation:
Subtract the right side of the equation and simplify:
9x -4 -6x -2(x +1) +5 = 0
9x -6x -2x -4 -2 +5 = 0 . . . . . eliminate parentheses
x -1 = 0 . . . . . . . . . . . . . . . . . . collect terms
x = 1 . . . . . . . . . . . . . . . . . . . . . add the opposite of the constant
_____
<em>Check</em>
Substitute the value of x where x is found in the equation.
9·1 -4 -6·1 = 2(1 +1) -5
9 - 4 - 6 = 2·2 -5
-1 = 4 -5 . . . . . true. The answer checks OK.