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Tcecarenko [31]
3 years ago
12

Find the conjugate and product of2-i5 ​

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Answer: 2+i5,\ 29

Step-by-step explanation:

Given

Complex number is 2-i5

Its conjugate is obtained by changing the sign of the original number i.e. 2+i5

The product of the two numbers is

\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29

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Using the digits 0 to 9 at most one time each,fill in the boxes below to write equations whose solution is -1/2
Lena [83]

Answer:

The equations whose solutions are -1/2 are:

1. 4x + 1 = 6x + 2

2. 3x + 7 = 5x + 8

Step-by-step explanation:

Using the digits 0 to 9 at most one time each, the equations whose solutions are -1/2 are:

1. 4x + 1 = 6x + 2

-2x = 1

x = -1/2

2. 3x + 7 = 5x + 8

-2x = 1

x = -1/2

3 0
3 years ago
Solve each equation. Check your solution.<br><br> 7a+10=2a
Debora [2.8K]

Answer:

a = -2

Step-by-step explanation:

7a + 10 = 2a

subtract 7a from each side

7a-7a+10 = 2a-7a

10 = -5a

divide by -5

10/-5 = -5a/-5

-2 = a

check

7 (-2) +10 = 2(-2)

-14 + 10 = -4

-4 = -4

5 0
3 years ago
2.<br>2x2 + 2x - 112 factor​
Angelina_Jolie [31]

Answer:

Use order of operation

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with
Stels [109]

Answer:

P(X > 25) = 0.69

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.

This means that \mu = 26, \sigma = 2

Find P(X>25)

This is 1 subtracted by the pvalue of Z when X = 25. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 26}{2}

Z = -0.5

Z = -0.5 has a pvalue of 0.31

1 - 0.31 = 0.69.

So

P(X > 25) = 0.69

4 0
2 years ago
The sum of twice a number and 18 is 5 less than three times the number, Write the
topjm [15]

Step-by-step explanation:

Let x represent the number.

We have 2x + 18 = 3x - 5, therefore x = 23.

The number is 23.

8 0
2 years ago
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