Answer:
Total distance traveled is 67.653 miles
Step-by-step explanation:
Side a = 14 (miles traveled South)
Side b = 25 (miles traveled East)
side c =
196 + 625 =
821 =
c = 28.653 (rounded to the nearest 1000th)
Now add the three sides to get the total distance:
14 + 25 + 28.653 = 67.653
Answer:
Step-by-step explanation:
A recursive formula is a formula in which each term is based on the previous term.
In a geometric sequence, each term is found by multiplying the previous term by a constant.
To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3. This makes the common ratio 1/3.
The recursive formula for a geometric sequence is
, where
represents the general term,
, represents the previous term, and r represents the common ratio.
Plugging in our values, we have
We also have to indicate what the first term, a₁, is. In this sequence, it is 21. This gives us
Both claims are false. In fact, and
are one the multiplicative inverse of the other. This means, by definition of multiplicative inverse, that
So, it doesn't matter if is positive or negative: the multiplication of one number and its inverse will always be 1: for example,
Similarly, when you multiply two number, the sign of the product depends on the sign of the factors as follows:
So, the multiplication of two negative numbers is a positive number.