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Furkat [3]
3 years ago
5

when two complex numbers are added the sum is 5+6i. If one of the numbers is -4-5i, what is the other number?

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Answer:

x = 9 + 11i

Step-by-step explanation:

let's make the other number x and add it with -4-5i, equate to 5+6i

- 4 - 5i + x = 5 + 6i

add 4 and 5i to both sides to get x on its own:

x = 5 + 6i + 4 + 5i

collect like terms. This is the other number.

x = 9 + 11i

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The equation of line k is y=
Nina [5.8K]

Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

I'm assuming you meant line k is y = 3x -2. If not, this is wrong.

For this, you need to put both lines in point-slope form, or the form that line k is already in. This means you only need to convert line m.

-2r + 6v = 18

6v = 2r + 18

v = 2/6r + 18/6

v = 1/3r + 3

Now you can answer the question.

To be parallel, lines must have the same slope (but a different y-intercept). 3 and 1/3 are not the same, so the lines are not parallel.

To be perpendicular, one line must have the opposite reciprocal (fraction flipped and + goes to - or - to +) of the other. While 3 is the reciprocal of 1/3, they are both positive, so they are not perpendicular.

To be the same line, the equations must be absolutely identical, which they aren't.

This leaves the last option: neither.

Let me know if you need a more in-depth explanation of anything here! I'm happy to help!

3 0
3 years ago
Read 2 more answers
What is the distance between –3 and 2 on the number line?
densk [106]

Answer:

5 because you have to count the numbers in between.

Step-by-step explanation:

8 0
3 years ago
1. The student council at Camp Creek Middle School determines that 3 out of 4
blagie [28]

Answer:

Hi there!

Your answer is: 150 people prefer that school assemblies be held on Friday afternoon

Step-by-step explanation:

3 out of 4 students means that 75% of students prefer assemblies on Friday afternoon!

To find 75% of 200:

200 = 100%

/100 to find 1%

2 people = 1%

Multiply it by 75 to determine 75%

2×75= 150

150people is 75% of 200 people!

I hope this makes sense! Let me know if you have questions!

7 0
3 years ago
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There are 4 students on a team for a relay race. How many teams can be made from 27 students?
Lina20 [59]
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8 0
4 years ago
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Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2.
Katena32 [7]

Answer:

4. About 2,700 in2

Step-by-step explanation:

The area of a circle (A), measured in square inches, is directly proportional to the square of its diameter (d), measured in inches. That is:

A \propto d^{2}

A = k\cdot d^{2}

Where k is the constant of proportionality, dimensionless.

In consequence, the following relationship between circles A and B is obtained:

\frac{A_{B}}{A_{A}} = \frac{d_{B}^{2}}{d_{A}^{2}}

The area of the circle B is now cleared:

A_{B} =\left(\frac{d_{B}}{d_{A}} \right)^{2}\cdot A_{A}

Given that d_{A} = 20\,in, d_{B} = 60\,in and A_{A} = 300\,in^{2}, then:

A_{B} = \left(\frac{60\,in}{20\,in} \right)^{2}\cdot (300\,in^{2})

A_{B} = 2700\,in^{2}

Therefore, the correct answer is 4.

7 0
3 years ago
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