Find the product of these complex numbers.
(2-3i) * (1 - i) =

- 1 - 5i

Step-by-step explanation:

note that i² = - 1

Given

(2 - 3i)(1 - i) ← expand using FOIL

= 2 - 2i - 3i + 3i²

= 2 - 5i - 3

= - 1 - 5i

-1 - 5i

Step-by-step explanation: It's important to understand that we

can work this problem as if we were multiplying two binomials together.

In other words, we can use the F.O.I.L. method. First, Outer, Inner, Last.

The product of the first terms in each complex number is 2.

The product of the outer terms is -2i.

The product of the inner terms is -3i.

The product of the last terms is 3i².

Next, we combine our like terms. So -2i + -3i = -5i.

Also, i² is -1 so our last term is just 3(-1) or -3.

So we have 2 - 5i + (-3) or 2 - 5i - 3 which is -1 - 5i.

y=mx+b

step-by-step explanation:

m slope, b y-intercept

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq