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4 years ago

If the complex number x = 3 + bị and x/2 = 13, which is a possible value of b?

Mathematics

1 answer:

Virty [35]4 years ago

7 0

Answer:

Step-by-step explanation:

Given,

x = 3 + bị

Again,

x ÷ 2 = 13

Multiplying both the sides by 2, we can get.

(x ÷ 2) × 2 = 13 × 2

or, x = 26

As we find the value of x, we can now complete the complex number which is b.

x = 3 + bị

Putting the value of x, we can get,

26 = 3 + bi

or bi = 26 - 3

or, b = 23.

Therefore, the possible value of b = 23.

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atroni [7]

Answer:

D(5, 4), E(14, 7), M(9.5, 5.5)

Step-by-step explanation:

As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB

Find the coordinates of D:

x = 1 + 1/4(17 - 1) = 1 + 4 = 5
y = 5 + 1/4(1 - 5) = 5 - 1 = 4

Find the coordinates of E:

x = 13 + 1/4(17 - 13) = 13 + 1 = 14
y = 9 + 1/4(1 - 9) = 9 - 2 = 7

Find the coordinates of the midpoint M of DE:

x = (5 + 14)/2 = 19/2 = 9.5
y = (4 + 7)/2 = 11/2 = 5.5

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2 years ago

What fraction is equal to -8/24

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$\frac{ - 8}{24} = \frac{ - 4}{12} = \frac{1}{ - 3} = - \frac{1}{3 } \\$

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3 years ago

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Find the measure of an exterior angle of a regular polygon with 18 sides.

Elenna [48]

Answer:

compute its exterior angle as 360/18, which is 20 degrees

Step-by-step explanation:

8 0

3 years ago

Use the information below to solve the problem Purchase price of article = $495 Down payment = $50 Number of payments = 36 True

Diano4ka-milaya [45]

Hi :)

Amount financed
495−50
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(0.18×445×37)÷(2×12)
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445+123.49
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3 years ago

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Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob

Ipatiy [6.2K]

Answer:

Randomly selected adult has an IQ less than 136 is 0.9641

Step-by-step explanation:

It is given that, it is normal distribution with mean 100 and SD as 20.

So, let's use the formula of z-score

z= $\frac{x-mean}{SD}$

For this problem,

x= 136

Plug in this value into the formula

z-score= $\frac{136-100}{20}$

=1.8

Now, use z-score table to find the probability

Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641

So, Randomly selected adult has an IQ less than 136 is 0.9641

3 0

3 years ago