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mars1129 [50]
3 years ago
14

What does | 3+i | equal

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0
The straight lines are asking to find the modulus or the size of the complex number.
For a complex number  z = x + iy,  [z] = √(x^2 +y^2)
Where x = Real Number, y = Imaginary number.
For 3 +i,  x = 3, y = 1    (Note y is what number that is attached to i)

[3 + i] = √(3^2 +1^2) = √10 = 3.162
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Segment EF is the midsegment of trapezoid ABCD. Find the length of segment EF if segment AB is 20 and segment CD is 12.
Vika [28.1K]

Midsegment = 1/2(base1 + base2)

EF = 1/2(AB + CD)

EF = 1/2(20 + 12)

EF = 1/2(32)

EF = 16

Answer

EF = 16

7 0
3 years ago
Read 2 more answers
Two different weight loss programs are being compared to determine their effectiveness. Ten men were assigned to each program (t
True [87]

Answer:

WE reject the Null and conclude that one of the drug is more effective than the other.

Step-by-step explanation:

Given :

Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5

Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3

This is a matched pair sample :

The hypothesis :

H0 : μd = 0

H1 : μd ≠ 0

Hence, we intun the difference between the two groups of value :

Difference, d = -8.9,-2.2,-8.8,1,-5.9,-3.6,-10,1.9,-10.4,-2.8

The test statistic :

dbar ÷ (Sd/√n)

dbar = mean of difference = Σd / n = - 49.7 / 10 = - 4.97

Standard deviation of difference, Sd = 4.51

Test statistic :

-4.97 ÷ (4.51/√10)

Test statistic = - 3.485

The sample size, n = 10

df = n - 1 ; 10 - 1 = 9

Critical value (0.10, 9) = 1.833

If Test statistic > |Critical value |

Since 3.486 > 1.833 ; WE reject the Null and conclude that one of the drug is more effective than the other

5 0
3 years ago
Substitution Method <br> y=x-4<br> y=4x-10
ira [324]

Answer:

x=2 and y= -2

Step-by-step explanation:

Substitute y=x-4 in second equation

x-4=4x-10

get x terms on one side and numbers on other sides

4x-x=10-4

3x=6

divide 3 on both sides

x=2

substitute x=2 in y=x-4

y=2-4

y= -2

4 0
3 years ago
How do I work this out I need full answer im lost​
taurus [48]

Answer:

7x = 35cm ; 2x = 10cm

Step-by-step explanation:

7x and 2x are the lengths

7x+2x=45

Then you take 7 + 2 = 9

so is gonna be 9x = 45

then you divide both side with 9

so is gonna be x = 5

Then you take 5 multiply 7 : 2

so 7 x 5 = 35cm

2 x 5 = 10cm

7 0
2 years ago
Write the equation of the line in slope-intercept form given the graph below.
pishuonlain [190]

Answer:

y=-2/3x-1

Step-by-step explanation:

4 0
3 years ago
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