Simplify: 9i(2+3i) enter your answer, in standard form, in the box

Standard form is 9(2i-3) or (-27+18i)

Step-by-step explanation:

To solve these type of question we should always keep in mind that i= √(-1)

and i² = (-1)

We have to solve the given form 9i(2+3i).

Now we start solving the question by simplifying the factors

9i(2+3i) = 18i+27i²

⇒ 18i +27(√-1)²

⇒18i +27(-1)

⇒18i-27

⇒9(2i-3)

So the simplified for is 9(2i-3) or (-27+18i)

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:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide