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snow_tiger [21]
3 years ago
12

Find the product of -2+2i and its conjugate

Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

8

Step-by-step explanation:

The conjugate of - 2 + 2i is - 2 - 2i, hence

(- 2 + 2i)(- 2 - 2i) ← expand factors using FOIL

= 4 + 4i - 4i - 4i² [ note i² = - 1 ]

=  4 + 4

= 8

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Using Cramer’s Rule, what is the value of x in the system of linear equations below?
cluponka [151]

Answer:

x = 8 is the answer

Step-by-step explanation:

In order to find  the solution of Equations using Cramer's rule

we shall find  matrices

D= \left[\begin{array}{ccc}5&-3\\1&-2\end{array}\right]=

D_{1} = \left[\begin{array}{ccc}4&-3\\-16&-2\end{array}\right]

l D l  = Determinant formed by coefficient  of variables

Here l D l = 5X(-2) - 1X(-3)=  -10+3 = -7

l D1 l =   Determinant formed by replacing first column In D by numbers on the right side of the equations

Here  l D1 l = 4X(-2)- (-16)X(-3)= -8-48 = -56

here x is  given by \frac{l D1 l}{l D l}

             x = \frac{-56}{-7}

             x = 8

3 0
3 years ago
Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times
MatroZZZ [7]

Answer:

Lavania observed 39 fruit flies after 6 days of observation

Step-by-step explanation:

Let x be the number of fruit flies on the first day of Lavania's study.

After 6 days she had nine more than five times as many fruit flies as when she began the study.

Five times as many fruit flies as when she began the study = 5x

Nine more than five times as many fruit flies as when she began the study=5x+9

The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9

If she observes 20 fruit flies on the first day of the study, then x=6, then

5x+9=5\cdot 6+9=30+9=39

5 0
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