the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
(x-h)^2 + (y-k)^2 = r^2
(x-2)^2 + (y-0)^2 = (rt(5))^2
-h = -2
h = 2
k=0
Center(2, 0)
Answer:
.
Step-by-step explanation:
We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.
We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.
Let us use two consecutive numbers of our sequence in above formula.
will be 12 and 
will be 18 for our given sequence.
Dividing our numerator and denominator by 6 we will get,
Let us use numbers 8 and 16/3 in above formula.
Therefore, we get as common ratio of our given geometric sequence.
Answer: Yes, this is a geometric sequence.
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 3 gives the next term.
