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Eduardwww [97]
3 years ago
8

Divide (3+2i)/(-4+5i). express answer in standard form

Mathematics
1 answer:
Levart [38]3 years ago
8 0
\dfrac{3+2i}{-4+5i}=\dfrac{(3+2i)(-4-5i)}{(-4+5i)(-4-5i)}=\dfrac{-12-15i-8i-10i^2}{(-4)^2-(5i)^2}\\\\=\dfrac{-12-23i+10}{16+25}=\dfrac{-2-23i}{41}=-\dfrac{2}{41}-\dfrac{23}{41}i
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Artist 52 [7]

Answer:

(-7,1)

Step-by-step explanation:

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Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?
mihalych1998 [28]

Answer:

Step-by-step explanation:

The general formula of the linear equation is:

y = mx + c 

where m is the slope and c is the y-intercept

1- getting the slope:

We are given the two points:

(6,10) representing (x1 , y1)

(12,7) representing (x2 , y2)

The slope of the line will be calculated as follows:

m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5

The equation of the line now becomes:

y = -0.5x + c

2- getting the value of the y-intercept:

To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:

y = -0.5x + c

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Based on the above, the equation of the line would be:

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7 0
2 years ago
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Step-by-step explanation:

3 0
3 years ago
...................
Zinaida [17]

Answer:

easey, sub them

(x,y)

see if true

(0,1), 2(0)+1>-4, 1>-4, true

(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false

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(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true

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answers are

(0,1)

(5,-12)

(-1,-1)

Hopefully that helped you a little bit :)

6 0
3 years ago
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