Suppose we choose

and

. Then

Now suppose we choose

such that

where we pick the solution for this system such that

. Then we find

Note that you can always find a solution to the system above that satisfies

as long as

. What this means is that you can always find the value of

as a (constant) function of

.
Answer:
A. 51°
Step-by-step explanation:
By the theorem of intersecting secants.
A number x divided by -1 is at least -4.
x / -1 ≥ -4
Multiply both sides by -1.
x ≤ 4
Remember, when multiplying or dividing by a negative, you must change the sign's direction.
~Hope I helped!~
Answer: See below
Step-by-step explanation:
A. 2.1 No (2.1>2)
B. -1 Yes
C. 0 Yes
D. -7.5 No (-7.5<-7)
E. 3.5 No (3.5>2)
F. -6.4 Yes
G. -8 No (-8<-7)
Answer:
1.5
Step-by-step explanation:
As the common difference is not same for all terms, the given sequence is a geometric sequence
the standard formula for a geometric sequence is:

The formula to calculate common ratio is:

Dividing the term by previous term
So,
r = 12/8 = 18/12 = 27/18 = 1.5
The value for common ratio will be:
1.5 ..