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trapecia [35]
3 years ago
13

Simplify 4 divided by -2 -2i

Mathematics
2 answers:
arlik [135]3 years ago
4 0

Answer:

-1+i

Step-by-step explanation:

We multiply by the complex conjugate   (a+bi)  has a complex conjugate a-bi

Remember that i^2 = -1

4               -2+2i

---------  * -----------

-2-2i         -2 +2i

4 * (-2+2i ) = -8 +8i

(-2-2i) * (-2+2i ) = 4 -4i + 4i -4i^2 = 4 -4(-1) = 4+4 = 8

Replacing this into the fraction

-8+8i

-----------

8

Factor out and 8

8(-1+i)

-----------

8

Cancel

-1+i


Margarita [4]3 years ago
4 0

He's right, the answer is -1+i

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3x=21 im being times
katovenus [111]

Answer: X=7

Step-by-step explanation: 7 times 3 is 21.

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3 years ago
What percent of 43.75 is 70
murzikaleks [220]
62.5%
What I did was divided 43.75 by 70 to get 0.625.
Then I moved the decimal over two places to the right to get 62.5. 
7 0
3 years ago
It is 76°f at the 6000-foot level of a mountain, and 49°f at the 12,000-foot level of the mountain. write a linear equation to f
valina [46]

Answer:

t(x) = 103 -0.0045x

Step-by-step explanation:

We are given the following in the question:

Let the equation:

t(x) = a + bx

be the linear equation that represent temperature at an elevation x.

Temperature at 6000-foot level = 76 f

76 = a + 6000b

Temperature at 12000-foot level = 49 f

49 = a + 12000b

Solving the two equation, we get,

76-49 = -6000b\\27=-6000b\\\\b = \dfrac{-27}{6000}\\\\b = -0.0045\\76 = a + (-0.0045)6000\\76 = a -27\\a = 76 + 27\\a  =103

Thus, we can write the linear equation as:

t(x) = 103 -0.0045x

5 0
3 years ago
Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)l
vovikov84 [41]

Answer:

y = \frac{1}{5}x +\frac{13}{5}

Step-by-step explanation:

Given

(x_1,y_1) = (2,3)

(x_2,y_2) = (7,4)

Required

Complete the equation y - 4.....

First, we need to determine the slope as follows:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{4 - 3}{7 - 2}

m = \frac{1}{5}

The equation is then calculated as thus:

y - y_1 = m(x - x_1)

This gives:

y - 4 = \frac{1}{5}(x -7)

Open bracket

y - 4 = \frac{1}{5}x -\frac{7}{5}

Add 4 to both sides

y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4

y = \frac{1}{5}x -\frac{7}{5} + 4

y = \frac{1}{5}x +\frac{-7+20}{5}

y = \frac{1}{5}x +\frac{13}{5}

6 0
3 years ago
Find the amount of discount when the original price is $90 and the discount rate is 10%
Licemer1 [7]
Answer: 81. If you subtract 10% from the amount of 90, you get 81.
3 0
3 years ago
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