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:
See explanation
Step-by-step explanation:
Statement Reason
1. GKJH is a parallelogram - Given
2. GH║KJ - Definition of the parallelogram
3. ∠HGL and ∠KJL are alternate interior angles - Definition of alternate interior angles
4. ∠HGL≅∠KJL - Alternate interior angles theorem
5. GH≅KJ - Property of parallelogram
6. ∠GLH and ∠JLK are vertical angles - Definition of vertical angles
7. ∠GLH≅∠JLK - Vertical angles thoerem
8. ΔGLH≅ΔJLK - AAS postulate
Answer:
#1: -2 ≤ y ≤ ∞
#2: -2 ≤ x ≤ 2
#3: -4 ≤ y ≤ 3
#4: -5 ≤ y ≤ ∞
#5: 0 ≤ x ≤ ∞
Step-by-step explanation:
To do these, you must understand what range and domain are:
Range: all the values that y can be
Domain: all the values that x can be
#1: It's asking for range, so look at the posible y values. The smallest y value is -2, and the largest is actually infinity. So, the range is: -2 ≤ y ≤ ∞.
#2: It's asking for domain, so look at the possible x values. The smallest is -2 and the largest is 2, so: -2 ≤ x ≤ 2.
#3: Again, it's asking for range, so look at the possible y values. The smallest is -4, and the largest is 3, so: -4 ≤ y ≤ 3.
#4: It's asking for range. The smallest value is -5, and the largest goes to infinity (from the arrows), so: -5 ≤ y ≤ ∞.
#5: It's asking for domain. The smallest x value is 0, and it goes to infinity. So: 0 ≤ x ≤ ∞.
