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AURORKA [14]
1 year ago
15

Find the modulus if the complex number 6-8i

Mathematics
1 answer:
NikAS [45]1 year ago
6 0

|a+bi|=\sqrt{a^2+b^2}

|6-8i|=\sqrt{6^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}=10

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5 1/3 x+8 1/2 =3 1/3 please answer need answers ASAP
SVETLANKA909090 [29]

Answer:

5 1/3 x+8 1/2 =3 1/3 ?

the correct answer is -1.774

Step-by-step explanation:

51/3x + 81/2=31/3 In order to find x, we follow BODMAS rule

so we have,[ 51/3] x + 81/2 =31/3

we have   51x/3 + 81/2=31/3

we collect the like terms;

51x/3= 31/3- 81/2

finding the lcm

51x/3= 2[31} - 3{81}/6

51x/3= 62-243/6

51x/3= -181\6

by using cross multiplication

we have;

6{51x}= 3{-181}

306x = -543

divide both sides by 306

we have;

x = - 1.774

check your answer from

306x=-543

306{-1.774}= -543

-543= -543

6 0
3 years ago
If y varies directly as x, and y is 16 when x is 4, when y= 24 what is the value of x?
sergejj [24]

Answer:

x = 6 possibly

Step-by-step explanation:

I am just an algebra student, but if I am correct I would appreciate a crown.

16/4 is 4, so i assumed that was the geometric pattern, so i divided 24 by 4 and got 6.

Hoped this helped.

6 0
3 years ago
1/3(x-1/3)-1/2(2/3x-1/2)
kenny6666 [7]

For this case we must simplify the following expression:

\frac {1} {3} (x- \frac {1} {3}) - \frac {1} {2} (\frac {2} {3} x- \frac {1} {2})

So, if we apply distributive property to the terms within parentheses we have:

\frac {1} {3} x- \frac {1} {9} - \frac {2} {6} x + \frac {1} {4} =\\\frac {1} {3} x- \frac {1} {9} - \frac {1} {3} x + \frac {1} {4} =

We simplify taking into account that:

  • Equal signs are added and the same sign is placed.
  • Different signs are subtracted and the major sign is placed.

- \frac {1} {9} + \frac {1} {4} =\\- \frac {4} {36} + \frac {9} {36} =\\\frac {-4 + 9} {36} =\\\frac {5} {36}

Answer:

\frac {5} {36}

4 0
3 years ago
which of the following plotted points on the graph represent the zeros of the function g(x) = (x^2 - 3x - 10)(x + 4)
Natalka [10]

Answer: The answer would be (-2,0),(-4,0), and (5,0)

Step-by-step explanation:

Guessing the answer choices are

(-2,0)

(4,0)

(0,10)

(-4,0)

(0,-2)

(0,-10)

(5,0)

3 0
2 years ago
What is the volume of this rectangular pyramid?<br> 3 m<br> 3 m<br> 4 m
olga_2 [115]

Answer:

(3M)

HOPE IT HELPS

THANK YOU

7 0
3 years ago
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