29.10 for the first question radius
The solution to this equation is in the picture i’ve put below!
Answer:
3.
Step-by-step explanation:
Find the midpoint of BC:
midpoint = (-1+5)/2, (2-2)/2 = (2, 0).
The slope of BC = (2 - -2) / (-1-5) = -2/3.
Find the equation of the right bisector of BC:
The slope = -1 / -2/3 = 3/2.
y-y1 = m(x-x1)
y - 0 = 3/2(x - 2)
y = 3/2x - 3.
Now find the equation of the median through C:
The midpoint of AB = (1 - 1)/2, (4+2)/2
= (0, 3).
The equation of the median:
The slope = (-2-3) / (5-0)
= -1.
The equation is:
y - 3 = -1(x - 0)
y -3 = -x.
Now we find the point of intersection by solving the 2 equations:
y - 3 = -x
y = 3/2x - 3
y = -x + 3
So:
3/2x - 3 = -x + 3
3/2x + x = 6
5/2 x = 6
x = 12/5.
y = -12/5 + 3
= -12/5 + 15/5
= 3/5.
The sum of the coordinates = 12/5 + 3 /5
= 15/5
= 3.
Answer:
profit : RS 150 and profit % : 3%
Step-by-step explanation:
for profit 10% for loss 4%
s.p will be 2750. s.p will be 2400
Total s.p : 2750 +2400. total s.p : 5150
profit = s.p-c.p. profit%=?
=5150-5000. profit = p /c.p × 100
=150 = 150/5000×100
= 3%
Answer:
Yes, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.
Step-by-step explanation:
Bilinear Transform:
In digital signal processing, the bilinear transform is used to convert continuous time system into discrete time system representation.
Minimum-Phase:
We know that a system is considered to be minimum phase if the zeros are situated in the left half of the s-plane in continuous time system. In the same way, a system is minimum phase when its zeros are inside the unit circle of z-plane in discrete time system.
The bilinear transform is used to map the left half of the s-plane to the interior of the unit circle in the z-plane preserving the stability and minimum phase property of the system. Therefore, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.
