QP = (8, 9) and | QP | = √145
QP = p - q = (7, 16 ) - ( - 1,7) = ( 7 + 1, 16 - 7) = (8, 9)
given a vector (x , y) then magnitude = √x² + y²
|QP | = | 8² + 9² = √145
Distance of bank from yuri's house=(5/6)*(2/5)=2/6=1/3 mile
The amplitude of the sine wave with RMS value of 220 V is
A = 220√2 volts.
The sine waveform is
v(t) = 220√2 sin(2πft)
where
f = 50 Hz, the frequency.
The period is
T = 1/f = 1/50 = 0.02 s
Use a graphical solution (shown below) to determine the number of times that v(t) = 220 in the interval t = [0, 0.02] s.
There are 2 instances when the voltage is 220 V in the interval t =[0, 0.02] s.
Note that 1 second is an integral multiple of 0.02 seconds.
Therefore in the interval [0,1], the number of instances when v(t) = 220 V is
(1/0.02)*2 = 100
Answer: 100
7x - 2x = 5x
2y - 2y = 0
the answer should be 5x