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Vlada [557]
3 years ago
10

What is the sum of the complex numbers 3 − 4i and 5 + 3i ?

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Answer:

8 - i

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

<u>Algebra II</u>

  • Standard Form: a + bi

Step-by-step explanation:

<u>Step 1: Define</u>

(3 - 4i) + (5 + 3i)

<u>Step 2: Simplify</u>

  1. Combine like terms (Z):                    8 - 4i + 3i
  2. Combine like terms (i):                      8 - i
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70 is 30% of what number?
ExtremeBDS [4]

Answer: 233.33.

Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.

5 0
3 years ago
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HELP WILL NAME BRAINLIEST
bezimeni [28]
First, you must find the width of GHJK. Since the area of it is 84m², divide 84 by 7.
84÷7=12
So the width of GHJK is 12m.
Next, find the scale of GHJK to LMNP. Since the height of both are already available, you can divide 21÷7 to get 3
This means that to get the width of LMNP you must multiply the width of GHJK by 3.
12×3=36.
Now, to get the area of LMNP, multiply 21 by 36.

21×36=756

So, the area of LMNP is 756m². (Don't forget the units!>
5 0
2 years ago
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

possible values of p are 1, and\ 3

possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


3 0
3 years ago
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Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the
pychu [463]
Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height

Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7

9 years after it was planted: 16 feet
so x= 9 y=16

With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.

To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )


Now we can make the equation
y = 3x -11
7 0
3 years ago
What is 9.35 as a fraction
denpristay [2]
9.35

= 9.00 + 0.35

= 9 + 7/20

= 180/20 + 7/20

= 187/20
5 0
3 years ago
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