Which property of multiplication is shown below?

if x = a + bi and y = c + di, x × y = y × x.
commutative property
identity property
distributive property
associative property

The option A. is correct

Step-by-step explanation:

x = a + bi and y = c + di

Now, x × y = (a + bi) × (c + di)

                 = ac + adi + bci + bdi²

                 = ac - bd + i(ad + bc)

Now, y × x = (c+ di) × (a + bi)

                 = ac + bci + adi + bdi²

                 = ac - bd + i(ad + bc)

Therefore,  x × y = y × x

And if ab = ba then the property is known as commutative property.

Hence, The option A. is correct

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !