M = (y2 - y1) / (x2 - x1)
Call (3,-4) one point
Call (-2,5) the second point.
m = (5- -4) / (-2 - 3)
m = 9/-5 = - 9 / 5
B<<<< answer
Answer: $52.50
Step-by-step explanation:
1 way : 15 divided by 2 then multipy your answer by 7
2nd way : 15x7. Once you get that answer divide it by 2 to get $52.50
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 .
First step is expand by using distributive property
<span>2(x + 7) + 3x = 12
step 1:
2x + 14 + 3x = 12</span>
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.