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matrenka [14]
3 years ago
6

What is the answer for 4i over 3+7i

Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

given \frac{4i}{3+7i}

To rationalise multiply the numerator/denominator by the conjugate of the denominator

the conjugate of 3 + 7i is 3 - 7i, hence

\frac{4i(3-7i)}{(3+7i)(3-7i)}

distribute the numerator/denominator

= \frac{12i-28i^2}{9-49i^2}

[ note that i² = - 1 ]

= \frac{12i+28}{9+49}

= \frac{28+12i}{58}

= \frac{28}{58} + \frac{12}{58} i

= \frac{14}{29} + \frac{6}{29} i ← in standard form



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allochka39001 [22]

Answer:

A.) Blocking occurs in an experiment when a certain experimental unit is divided or split into groups based on a certain criteria. In the experiment above, the experiment was blocked for class of runner, either professional or recreational. This is essential in other to limit the possible variability in our experiment. It is very possible thatvtve response of each class of runner may differ, therefore, it good practice to block for class of runner in other to contain the variation.

B.) Randomizing the type of shoe being worn by the runner ensures that we have given each runner an equal chance of selecting any type of shoe available,thereby eliminating biases which might emanate from fixing shoe type for each runner.

C.) Replication could simply be defined as the application of a certain treatment on more than one experimental unit. In the experiment above, by blocking for class of runner, hence having the professional and recreational units, and treatment applied to each experimental unit, Hence giving the experimenter the chance of controlling variation in the experiment.

Step-by-step explanation:

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4 years ago
f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is lab
Lady_Fox [76]

The values of a and b are 4 and -3

<h3>How to solve for (a) and (b)?</h3>

To solve for a, we make use of the function f(x).

x    f(x)

2     4

0     5

2     a

3     7

Remove the x values 0 and 3

x    f(x)

2     4

2     a

The above table implies that:

f(2) = 4 and f(2) = a

Substitute 4 for f(2) in f(2) = a

4 = a

Rewrite as:

a = 4

To solve for b, we make use of the function g(x).

x    g(x)

2     b

0     0

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3     -4

Remove the x values 0 and 3

x    g(x)

2     b

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The above table implies that:

f(2) = b and f(2) = -3

Substitute -3 for f(2) in f(2) = b

-3 = b

Rewrite as:

b = -3

Hence, the values of a and b are 4 and -3

Read more about functions at:

brainly.com/question/13153717

#SPJ1

<u>Complete question</u>

Use the Symmetry of a Function to Find Coordinates

f is an even function             g is an odd function

x    f(x)                                        x             g(x)

2     4                                          2              b

0     5                                          0              0

2     a                                          2              -3

3     7                                          3              -4

Find a and b

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2 years ago
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Hey there! I'm happy to help!

The only thing we have to do is solve our inequality to find the answer!

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Therefore, Deepak can only accept jobs that last 4 or more hours.

I hope that this helps! Have a wonderful day!

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