Answer:

Step-by-step explanation:
The equation of a circle is written with the center and radius into the vertex form
.
Here h = -2 and k = 1. Substitute these values with r = 3.

Answer:
7/12
Step-by-step explanation:
The nth term Tₙ = n(n-4) /n+3.
The 1st term T₁ = 1(1 - 4)/(1 + 3) = -3/4
The 6th term T₆ = 6(6 - 4)/(6 + 3) = 6(2)/9 = 2(2)/3 = 4/3
So, the sum of the 1st and 6th terms is T₁ + T₆ = -3/4 + 4/3
= (-9 + 16)/12
= 7/12
Answer: C
Step-by-step explanation:
The formula for a volume of a square-based prism is L² x h
If we insert 2 for L
We get 2² x 12 = 48
Same thing if we insert 3
3² x 12 = 108
As L is increasing, the volume is also increasing, so options A and D are out
The growth of the volume is not linear; it's exponential, eliminating B to make C the answer
If you want something visual, you can put y=12x² into a graphing calculator.