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4 years ago

If u = (1+i3√) and v = (1−i3√), what is uv?

Mathematics

2 answers:

dem82 [27]4 years ago

8 0

Answer:

uv = 4

Step-by-step explanation:

(1+i√3)(1-i√3)

1²-(i√3)²

1-i²√3²

1-(-1)3

krok68 [10]4 years ago

6 0

Answer:

Step-by-step explanation:

FOILing, we have

1+isqrt3-isqqrt3-(-1x3)

isqrt3 cancels out

1-(-3)

1+3

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How to do this question plz answer me step by

Jet001 [13]

Answer:

481.92

Step-by-step explanation:

First find the increase

466.98 * 3.2%

466.98 * .032

14.94336

Add this to the original amount

466.98+14.94336

481.92336

Round to 2 decimal places

481.92

7 0

3 years ago

The time, t, required to drive to a certain distance varies inversely with the speed, r. if it takes 12 hours to drive the dista

kap26 [50]

T = k/R where k is the constant of variation, T=time and R=speed.
Plug in the given values:-
12 = k/60
k = 12*60 = 720
So the equation of variation is T = 720/R

At 85 mph we have

T = 720 / 85 = 8.47 hours (answer)

8 0

3 years ago

Describe the relationship of the organelles of the endomembrane system?

scZoUnD [109]

The endomembrane system is a series of compartments that work together to package, label, and ship proteins and molecules.

the endomembrane system include: the nuclear membrane, the endoplasmic reticulum, the Golgi apparatus, lysosomes, vesicles, endosomes, among others.

7 0

3 years ago

Read 2 more answers

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

miss Akunina [59]

Answer:

$y> \frac{2}{3}x+3$

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ----> the y-intercept is the point (0,3)

substitute the values

$y=\frac{2}{3}x+3$

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

$y> \frac{2}{3}x+3$

see the attached figure to better understand the problem

4 0

3 years ago

Read 2 more answers

What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2

Sergeeva-Olga [200]

The maximum number of turning points in a cubic function is 2.

In this case,

$f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4$

The discriminant is $(-2)^2-4(9)(4)=-140$ , which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.

5 0

3 years ago

Read 2 more answers