Answer: 
Step-by-step explanation:
The nth term for a geometric sequence is given by :-
(1)
We are given that The first term in a geometric sequence is 54. i.e. a=54
5th term=
(2)
Put n=5 and a= 54 in (1), we get
(3)
From (2) and (3), we have

Explicit form for the geometric sequence: 
Answer:
Step-by-step explanation:
2 right triangles and three rectangles
Answer:
= (x+2) (x- √3) ( x+√3)
Step-by-step explanation:
The polynomial has roots of -2 √3, and - √3.
The polynomial can be written as
f(x) = (x-a) (x-b) (x-c) where a b and c are the roots
f(x) = (x--2) (x- √3) ( x--√3)
= (x+2) (x- √3) ( x+√3)
Answer:
x = 1.5
, y = 3 + 2at.
Step-by-step explanation:
For the parabola
= 4aX ,
General form will be
(X = a
, Y = 2at) ,
Thus , for the parabola
= 6(x +8)
Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can use the general equation formula for this parabola also.
Thus , general equation comes out to be :-
x + 8 = 1.5
, y - 3 = 2at
x = 1.5
, y = 3 + 2at.
If the quotient is positive, we know that the two integers are either both positive or both negative.
If the quotient is negative, we know that one integer is positive and the other is negative.
If the quotient is zero, then we are dividing 0 by some non-zero integer.