Answer:
(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.
Step-by-step explanation:
From the figure, the coordinate of the tail of the vector,

The coordinate of the head of the vector,

The magnitude of a vector is the length between the head and tail of the vector.
By using the distance formula,
the magnitude of the vector 

Now, let
be the angle made by the vector with the positive direction of the x-axis, so

So, the magnitude of the vector is
which makes
with the positive direction of the x-axis.
Hence, option (B) is correct.
Answer:
yea its 828
Step-by-step explanation:
Its alotta work that ion wanna type but that should b the answer
Answer:
29. See table below
30. See attached graph
31. The slope is m= 0.10
The slope represent the cost for every additional call minute.
Step-by-step explanation:
The cost is $0.5 first minute and $0.10 for any additional minutes
If c is the total cost of a call that last t minutes then;
c= 0.10t + 0.5-----where t is the time the call lasted
29. Use the equation above to create the table as;
t {x} c{y}
1 0.6
2 0.7
3 0.8
4 0.9
5 1.0
6 1.1
The graph of this plot is as attached , where the coordinates are
{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}
The slope can be found using the formula;
m=Δy/Δx
m= 1.1 - 0.6 / 6-1
m= 0.5 / 5 = 0.10
The slope represent the cost for every additional call minute.
I'm pretty sure the answer is 4 because, 4*21= 84.