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Zarrin [17]
3 years ago
14

When 3+4i2+i is expressed in the form a+bi, what is the value of a?

Mathematics
1 answer:
mart [117]3 years ago
7 0
Multiplying and dividing with conjugate of 2+i in the given expression, we get(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+bi<span>Thus a=2</span>
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Solve. 9(4h - 6) = 2( -13 - 2h)
Afina-wow [57]

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h)       Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h       Add 4h to both sides

+4h                   +4h

40h - 54 = -26      Add 54 to both sides

      +54     +54

40h = 28     Divide both sides by 40

h = 7/10

6 0
3 years ago
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Two angles of a quadrilateral measure 200° and 50°. The other two angles are in a ratio of 2:9. What are the measures of those t
avanturin [10]

Answer:

20° and  90°

Step-by-step explanation:

Let 2x = measure of 1st angle

then 9x =  measure of 2nd angle

The sum of the measures of the angles of a quad is 360

200 + 50 + 2x + 9x = 360

250 + 11x = 360

11x = 110

x = 10

2x = 20°

9x = 90°

7 0
3 years ago
The school soccer coach records the number of goals some players have scored so far this season. The dot plot of the number of g
yuradex [85]

Answer:

the means absolute deviation is 1.8

the striking deviation is 7

(it is because the data point on the far right of the graph)

Step-by-step explanation:

calculate the absolute deviation:

1.  calculate the mean (add all numbers and divide by 10) = 2.6

2.  find the absolute value of each

2.6 - 0 = 2.6

2.6 - 1 = 1.6 (you have 1's 4 times so each one will be 1.6)

2.6 - 3 = 0.4

2.6 - 4 = 1.4 (you have 4's 3 times)

2.6 - 7 = 4.4

3.  Then add all of those values together

2.6 + 1.6 + 1.6 + 1.6 +  1.6 + 0.4 + 1.4 + 1.4 + 1.4 + 7.4 = 18

4.  find the mean of the difference

18/10 = 1.8

3 0
3 years ago
How do you compare 36.782 or 37.762
Ber [7]

Answer:

36.782 < 37.762

6 0
3 years ago
Question:
-Dominant- [34]
C I took the tests on eg today
6 0
3 years ago
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