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Effectus [21]
2 years ago
11

2+6i/2-4i = a + bi What is the value of a? What is the value of b?

Mathematics
1 answer:
Talja [164]2 years ago
6 0

\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1

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Diano4ka-milaya [45]
<h2>HI MATE YOUR ANSWER SHOULD BE 10/3</h2>
5 0
2 years ago
Subtract. 3- (-5) - (-2) Plot the solution on the number line.​
Whitepunk [10]

Answer:

10. put a dot on the number 10

Step-by-step explanation:

3-(-5)-(-2)

when subtracting negatives, you actually end up adding

so

3+5+2=10

3 0
2 years ago
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I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE
makkiz [27]

Mistake in Line 2 : Was in the determining the values for a ,b,c

Mistake in Line 4 : Not taking the square roots of both sides.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

First Mistake : Line 2

a = x \\ b = 6 \\ c = 10

Second Mistake : Line 4

136 =  {x}^{2}  \\ not \\ 136 = x

Correct Solution :

{x}^{2}  +  {6}^{2}  =  {10}^{2}  \\  {x}^{2}  =  {10}^{2}  -  {6}^{2}  \\  {x}^{2}  = 100 - 36 \\

{x}^{2}  = 64 \\  \sqrt{ {x}^{2} }  =  \sqrt{64}  \\ x = 6

3 0
2 years ago
What is the equaiton of the line that goes through the point (6,-1) and is parallel to the line represented by the equautions y=
mixas84 [53]

parallel lines have the same slope


The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"


They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3


You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6


So far we have y=-5/6x + b

We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"


Replace that on the equation y=-5/6x + b and you get

-1 = (-5/6)(6) + b

-1 = -5 +b

4 = b

b = 4


We found b, or the y-intercept


Go back to the equation y = -5/6 x + b and replace this b with the b we just found


y = -5/6x + 4

6 0
2 years ago
Ashley uses 1/4 package of raisin for a fruit cake. She then uses 1/9 of the remainder for muffins. What fraction of the package
Flura [38]
\text {Fruit cake = } \dfrac{1}{4}

\text {Raisin left = } 1 -  \dfrac{1}{4} = \dfrac{4}{4} - \dfrac{1}{4} = \dfrac{3}{4}

\text {Muffins  = } \dfrac{1}{9}  \times  \dfrac{3}{4} =  \dfrac{3}{36} =  \dfrac{1}{12}

\text {Raisin left = } \dfrac{3}{4}  - \dfrac{1}{12} =\dfrac{9}{12}  - \dfrac{1}{12} = \dfrac{8}{12}  -= \dfrac{2}{3}

Answer: She has 2/3 of the package left.

7 0
3 years ago
Read 2 more answers
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