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3 years ago

Z = 19i + 14 what is the imaginary part

Mathematics

1 answer:

Ne4ueva [31]3 years ago

5 0

Answer:

The imaginary part is: z = 19

Step-by-step explanation:

For real numbers a and b, a number written in form a+bi is called a acomplex number. The value a is called the real part and b is called the imaginary part of complex number.

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The sum of all natural numbers between 200 and 1502 which are divisible by 8 is

sergejj [24]

Answer:

138024

Step-by-step explanation:

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4 years ago

the legend on a map states that 1 inch is 500 miles if you measure 8 inches on the map, how many miles would the actual be?

natita [175]

one inch is 500 miles

therefore, every inch on the map is 500 miles.

8 inches would be 8*500

8*500=4000.

4000 miles is your answer.

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3 years ago

Write the number word eight hundred twenty thousand five hundred fifteen

sergiy2304 [10]

The answer is 820,515.

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4 years ago

X^5 + 243 divided by x+3

ch4aika [34]

-3   | 1   0   0   0   0   243 $\longleftarrow$ coefficients of the polynomial you're dividing
.     |                                   $\longleftarrow$ drop down the leading coefficient
- - - - - - - - - - - - - - - - - - -
.     | 1

On the left side of the frame, we write -3 because we're dividing by $x+3=x-(-3)$ . (The algorithm is followed for division of a polynomial by a factor of $x-c$ .) Since we're dividing a degree 5 polynomial by a degree 1 polynomial, we expect to get a degree 4 polynomial.

-3   | 1   0   0   0   0   243
.     |      -3                         $\longleftarrow$ multiply -3 by 1, write in next column, add to 0
- - - - - - - - - - - - - - - - - - -
.     | 1 -3

Repeat step for the remaining columns.

-3   | 1   0   0   0   0   243
.     |      -3   9
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9

-3   | 1   0   0      0   0   243
.     |      -3   9   -27
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27

-3   | 1   0   0      0 0   243
.     |      -3   9   -27   81
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81

-3   | 1   0   0      0 0 243
.     |      -3   9   -27   81 -243
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81       0

which translates to

$\dfrac{x^5+243}{x+3}=x^4-3x^3+9x^2-27x+81$

So the bottom row of the frame gives the coefficients of each term in the quotient by descending order. Since the last coefficient is 0, this means the remainder upon division vanishes, i.e. $x^5+243$ is exactly divisible by $x+3$ .

- - -

Another way to get the same result is to use a well-known result: for $a+b\neq0$ ,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)\implies\dfrac{a^5+b^5}{a+b}=a^4-a^3b+a^2b^2-ab^3+b^4$

and in this case $a=x$ and $b=3$

3 0

4 years ago

Grace ran 8 laps and walked 3 laps around the gym track. Grace ran twice as many laps as Tami ran. Then Tam walked twice as many

GrogVix [38]

Answer:

Grace

Step-by-step explanation:

Grace ran 11 since 8 + 3= 11. Tam ran 4 laps and walked 6 and 4 + 6 = 10. Grace did 11 laps while Tam did 10 laps.

6 0

3 years ago

Read 2 more answers

Z = 19i + 14 what is the imaginary part​

Z = 19i + 14 what is the imaginary part