Confused, and there's a test tomorrow.

Mathematics

1 answer:

-BARSIC- [3]2 years ago

5 0

Answer:

12y +16yi

Step-by-step explanation:

The thing about complex numbers is that you can treat them as binomials and use all of the things you know about multiplying and factoring polynomials.

Here, we assume you have ...

(5 +2yi)(4 -3i) -(5 -2yi)(4 -3i)

The factor (4 -3i) can be factored out, so you have ...

= ((5 +2yi) -(5 -2yi))(4 -3i)

= (4yi)(4 -3i)

= 16yi -12yi²

At this point, the definition of i comes into play, and you replace i² with -1.

= 12y +16yi

You might be interested in

At the beginning of the semester students reported that they spend an average of 5 hours per day watching television, decreasing

Katyanochek1 [597]

Answer:

(a) $X(t)=X(0)+\Delta X*t=5-0.5*t$

(b) $X(t)=X(0)+\Delta X*t=1+0.5*t$

Step-by-step explanation:

a) For the students, they start at X(0)=5 h and ΔX=-0.5 h/week.

We can write

$X(t)=X(0)+\Delta X*t=5-0.5*t$

b) For the professors, they start at X(0)=1 h and ΔX=+0.5 h/week.

We can write

$X(t)=X(0)+\Delta X*t=1+0.5*t$

c) The seew which they will be watching the same amount of hours will be the 4th week.

$X(t)=5-0.5*t=1+0.5*t\\\\5-1=(0.5+0.5)*t\\\\t=4\, weeks$

The amount of hours will be

$x(4)=1+0.5*4=1+2=3\,hours$

7 0

3 years ago

I need help on this one

notka56 [123]

Answer:

(3,5)

1/3

Step-by-step explanation:

The equation is already in point-slope form. Therefore, both the point and slope can easily be found in the equation. Point slope form looks like $y-y_{1}=m\left(x-x_{1}\right)$ . In this the point is $(x_{1},y_{1})$ and the slope is m. So, the x value is 3 and the y value is 5, making the coordinate (3,5). Finally, the slope is 1/3.