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pav-90 [236]
4 years ago
11

If u = (1+i3√) and v = (1−i3√), what is uv?

Mathematics
2 answers:
dem82 [27]4 years ago
8 0

Answer:

uv = 4

Step-by-step explanation:

(1+i√3)(1-i√3)  

1²-(i√3)²  

1-i²√3²  

1-(-1)3  

4

krok68 [10]4 years ago
6 0

Answer:

4

Step-by-step explanation:

FOILing, we have

1+isqrt3-isqqrt3-(-1x3)

isqrt3 cancels out

1-(-3)

1+3

4

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What is the slope intercept form of the equation of the line?
beks73 [17]

Answer:

The slope-intercept form of the equation of the line is:

y = 2/3x + 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (0, 2)
  • (3, 4)

(x₁, y₁) = (0, 2)

(x₂, y₂) = (3, 4)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 0]

               = 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting m = 2/3 and b = 2 in the slope-intercept form

y = mx+b

y = 2/3x + 2

Therefore, the slope-intercept form of the equation of the line is:

y = 2/3x + 2

5 0
3 years ago
Danny is 603/4 inches tall . His twin sister is 58 1/8 inches tall.How much taller is Danny than his twin sister.
Mazyrski [523]

Answer:

2 5/8 inches

Step-by-step explanation:

This is a subtraction problem.

You must subtract 58 1/8 inches from 60 3/4 inches.

We need a common denominator for the fractions.

The LCD of 4 and 8 is 8.

60 3/4 = 60 6/8

58 1/8 = 58 1/8

60 3/4 - 58 1/8 = 60 6/8 - 58 1/8 = 2 5/8

Answer: 2 5/8 inches

7 0
3 years ago
Please help me. I can't figure this out. I've been doing math for 5 hours and that's not an exaggeration.
svetlana [45]

Well you have to do PEMDAS

So we have an exponent so that will turn into a positive X

X+4x=10

So now we combine our X's together to get 5X=10

Now we divide both sides by X which gives us 2

Sorry read the problem wrong

Ask questions if you still need help :)


6 0
4 years ago
Read 2 more answers
Simplify: 6s - (3s - 2)
DaniilM [7]
Simplified would be: 3s + 2
8 0
3 years ago
Read 2 more answers
What is the slope of a line that passes through the origin<br> and the point (6, 14)?
Mrrafil [7]

Answer:

14/6 or 2 1/3

Step-by-step explanation:

m=y2-y1/x2-x1

14-0=14

6-0=6

14/6 or 2 1/3

hope this helps :3

if it did pls mark brainliest

sorry if it is wrong

7 0
3 years ago
Read 2 more answers
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