Answer:
The magnitude of the given vector is 40.72 units.
Step-by-step explanation:
The given vector is 
We know that for any vector 'r' 
the magnitude is given by
Comparing with the given vector we have
x = -3
y = 40
z = 7
Thus the magnitude equals
DH = HF
x + 1 = 3y
y = (x + 1) ⁄ 3
GH = HE
3x – 4 = 5y + 1
y = (3x – 5) ⁄ 5
y = y
(x + 1) ⁄ 3 = (3x – 5) ⁄ 5
5x + 5 = 9x – 15
4x = 20
x = 5
y = (x + 1) ⁄ 3
y = (5 + 1) ⁄ 3
y = 2
Answer:
-6
Step-by-step explanation:
Answer: All data will be sent in 89.39 hours
Step-by-step explanation:
Data transfer rate: 100 Mbps=100 
×
×
=0.3433 
The pigeon can fly 1000 km/day and it needs to fly 400 km (round trip).
Pigeon rate: 
=41.67 
Time of round trip: 400 km÷=9.6 h
So the pigeon can send 1 Tb every 9.6 hours.
If we sum the rates we can get the time for sending all the data:
40 Tb= (0.3433 Tb/h + 1 Tb/9.6h)×t
T= 89.39 hours
Parallel to the graph of y = -2/3x + 5
means that it has the same slope
Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
3 = b
plug that back into the equation
y = -2/3x + b
y = -2/3x + 3
The answer is <span>B. y= -2/3x+3</span>
This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).
Hope this helps :)
