The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
Answer:
(B) Time (min) 2 , 3 , 7 , 9
Temperature (°C) 60.6 , 64.3 , 79.1 , 86.5
Step-by-step explanation:
The rate of change is found by using the formula for slope:

For option A, this gives us
m =(64.4-61.0)/(3-2) = 3.4/1 = 3.4
This is not more than relationship A.
For option B, we have
(64.3-60.6)/(3-2) = 3.7/1 = 3.7
This is more than relationship A.
For option C, we have
(65.3-61.8)/(3-2) = 3.5/1 = 3.5
This is not more than relationship A.
For option D, we have
(64.6-61.0)/(3-2) = 3.6/1 = 3.6
This is not more than relationship A.
The solution step by step. 43 comes from adding all the given numbers together.
Answer:
Step-by-step explanation:
Sam can wash
or
loads of laundry per hour.