Answer:
Distributive property
Step-by-step explanation:
see attached for reference
2 (x + 4)
= 2(x) + 2(4)
= 2x + 8
Answer:
Step-by-step explanation:
it would be 60 feet squared
Answer:
C
Step-by-step explanation:
The terms form a geometric sequence with common ratio r
r =
=
= ......
r =
=
= - 
The n th term formula of a geometric sequence is
= a
← a is the first term
here a = - 81, hence
f(x) = - 81
→ C
Answers:
Equation is 
Center is (-1, -2)
Radius = 5
===========================================
Work Shown:

center = (h,k) = (-1,-2)
radius = 5
-----------------------------
Explanation:
I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.
Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2
The last equation is in the form (x-h)^2 + (y-k)^2 = r^2
We can think of x+1 as x - (-1) to show that h = -1
Similarly, y+2 = y-(-2) = y-k to show that k = -2
The center is (h,k) = (-1,-2)
The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.
It is given in the problem that in 1975, the number of restaurants chain is 15,250.
It is also given in the problem that 2000, the total number of restaurants is 21, 655. Therefore, the solution is is shown below:
% increase= ((# of restaurants is year 2000 - # of restaurants in year 1975)/number of restaurants in year 2000) * 100
% increase = (21,655-15250)/21,655 *100
% increase = 29.58%
Answer is 29.58%