30x-40+12=572
30x=600
x=20
Answer:
The general formula for nth term of given sequence is:

Step-by-step explanation:
Given sequence is:
54,18,6.....
In order to write the general formula of a sequence, first of all the common ratio has to be found. Common ratio is the ratio between consecutive terms of a geometric sequence.

The general formula is:

Putting the values of a1 and r

Hence,
The general formula for nth term of given sequence is:

Answer:
20π ft
Step-by-step explanation:
To find the circumference of the circle given its area, first find its radius.

Substitute given area into the formula:
100π= πr²
Divide both sides by π:
100= r²
Square root both sides:

r= 10 ft

Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.
Circumference of circle
= 2(π)(10)
= 20π ft
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
2(x+12x) = 2x + 24x
2x+24x - 2x2= 2x+24x - 4
2x + 24x = 26x
26x - 4 is your answer