Determine if the following system is linear and/or time-invariant y(t) = cos(3t) x(t)

The following system is not linear.

The following system is time-invariant

Step-by-step explanation:

To determine whether a system is linear, the following condition must be satisfied:

For , we have

In trigonometry, we have that:

So

Since , the system is not linear.

If the signal is not multiplied by time, it is time-invariant. So . Now, for example, if we had it would not be time invariant.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

answer: x=3 and y=4

step-by-step explanation: