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topjm [15]
3 years ago
7

Which of the following complex numbers is 2- equivalent to ? (Note: i= -1) 2+i

Mathematics
2 answers:
Vinvika [58]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Given

\frac{2-i}{2+i}

Multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 2 + i is 2 - i , then

= \frac{(2-i)(2-i)}{(2+i)(2-i)} ← expand numerator/ denominator using FOIL

= \frac{4-4i+i^2}{4-i^2}  [ i = \sqrt{-1} ⇒ i² = - 1 ]

= \frac{4-4i-1}{4+1}

= \frac{3-4i}{5}

= \frac{3}{5} - \frac{4}{5} i → A

muminat3 years ago
4 0

Answer:

i = the square root of -1

Step-by-step explanation:

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sergey [27]

Answer:

The answer is 120, 80, 100, 180, 40, 0, 240

Step-by-step explanation:

In this situation, quadrupling means to times everything (everything which is 30, 20, 25, 45, 10, 0, 60) by 4, which will give you 120, 80 ,100 ,180, 40, 0, 240

3 0
3 years ago
The value of the 4th term is 80. the sequence is being doubled each step what is the 7th term?
leva [86]
This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10

7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640
8 0
3 years ago
Kevin can mow the lawn in 1.5 hours. Together, Kevin and Eric can mow the lawn in 30 minutes. How long will it take Eric to mow
xeze [42]

Answer:

45

Step-by-step explanation:

These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below

1/time took for both = 1/time took for Kevin + 1/time took for Eric

1/30 = 1/90+1/x    ==> calling time took for Kevin x

solving the above 1/x = 1/30-1/90

1/x=2/90

x=45

6 0
3 years ago
Evaluate. 4-6 | 3-5 | /3
riadik2000 [5.3K]

Answer:

0

Step-by-step explanation:

4-6 is -2 and |3-5| is -2 but the |-2| makes it 2 so -2+2=0 so 0/3=0

8 0
3 years ago
NEED HELP!!!!!!!!!!!!!!!!!!!!!
kondor19780726 [428]
The quadratic formula is -b plus minus the square root of b^2-4ac all over 2a.
Here, a=1, b=13, and c=30.
The only option that fills in the values correctly is D
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3 years ago
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