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stiks02 [169]
2 years ago
12

Simplify the expression 2+3i/4+3i Please help

Mathematics
1 answer:
rjkz [21]2 years ago
7 0

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i


We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i


Lets multiply the numerator

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

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i


Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

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Answer:

2/5

Step-by-step explanation:

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2 years ago
For a certain experiment, if we expect to get an apple 8 times in 200 trials, what is the theoretical probability of getting an
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The answer is C

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Find the common difference of the arithmetic sequence, the next three terms, the equation, and the term given for 8, 10, 12, 14
fredd [130]

Answer:

see explanation

Step-by-step explanation:

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a₅ = 14 + 2 = 16

a₆ = 16 + 2 = 18

a₇ = 18 + 2 = 20

The next 3 terms in the sequence are 16, 18, 20

The n th term equation for an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 2, thus

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5 0
3 years ago
Please help<br><br>problem 1, 2 and 3​
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Answer:

See attached

Step-by-step explanation:

When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.

For a linear equation in standard form, ax +by = c

  • the x-intercept is: c/a
  • the y-intercept is: c/b
  • the slope is: m = -a/b

Of course, the slope-intercept form of the equation is ...

  y = (slope)·x + (y-intercept)

and the values of the various points on the graph can be computed from that equation.

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You will note that the last two equations describe the same line.

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<em>Note on spreadsheet formulas</em>

When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.

4 0
2 years ago
A square vegetable garden has side lengths of 8 feet. You plant flowers in the center portion of the garden, a square that has s
Studentka2010 [4]

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<h3>How to find area of zucchini section?</h3>

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Zucchini section = 15 feet²

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Learn more about area of a square:

brainly.com/question/24487155

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