Answer:
E = 3072i - 5904ohms
Step-by-step explanation:
From ohms law recalled that E = IR given already
E = voltage (volts)
I = Current (amps)
R = resistance (ohms)
Therefore, by substitution
I = 16i and R = (2+4)ohms(32+66i)
= 6(32+66i) ohms
= (192+396i)ohms
E = (16i)×(192+396i)
E = 3072i + 5904i²
Recall that i² = -1 from complex number
E = 3072i +5904(-1)
E = 3072i - 5904ohms
The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
Hence missing value in the solution to the equation is:(-5,2)
Step-by-step explanation:
We are given the equation:

and we need to complete the missing value in the solution to the equation
(-5,?)
Since the solution is in the form of ordered pair, so first value represent value of x and second value represents value of y i.e (x,y)
So, x= -5, Now finding y:
Putting value of x in given equation:

So, value of y is 2
Hence missing value in the solution to the equation is:(-5,2)
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Answer:
T' 
Step-by-step explanation:
See the diagram attached.
This is a unit circle having a radius (r) = 1 unit.
So, the length of the circumference of the circle will be 2πr = 2π units.
Now, the point on the circle at a distance of x along the arc from P is T
.
Therefore, the point on the circle at a distance of 2π - x along the arc from P will be T'
, where, T' is the image of point T, when reflected over the x-axis. (Answer)
Answer:
Step-by-step explanation:
Let w = width
Then 3w = length
A= LW
108 = (3w)(w)
108 = 3w2
36 = w2
6 = w 18 = length Perimeter = 2(6) + 2(18) = 48 in