Which of the following is the conjugate of a complex number with 3 as the real part and –5i as the imaginary part?

Our required conjugate of a complex number is 3+5i.

Step-by-step explanation:

Since we have given that

There is a complex number which has 3 as the real number and -5i as the imaginary part.

So, our required complex number is 3-5i.

We need to find the conjugate of a complex number will be

3+5i as in case of conjugation we only change the sign of imaginary number .

So, our required conjugate of a complex number is 3+5i.

3x3 = 9 and 2x2 = 4

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: