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lianna [129]
3 years ago
6

What is the slope of a line parallel to line A

Mathematics
1 answer:
BigorU [14]3 years ago
8 0
Find the slope of A. The slope of a line parallel to A would have the same slope of A. Remember, slope=rise over run. 
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How many solutions are there to this system of equations?
Zinaida [17]

Answer:

one

Step-by-step explanation:

5 0
3 years ago
(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
In August, 85% of the middle school students voted in a school election. The number of students who voted was 544. How many stud
Maksim231197 [3]

Answer:

640 students

Step-by-step explanation:

544 divided by 85%= 640

5 0
3 years ago
Help please <br> Right angle triangle
baherus [9]

Answer:

h ≈ 11.9

Step-by-step explanation:

Since the triangle is right we can use the cosine ratio to find h

cos24° = \frac{adjacent}{hypotenuse} = \frac{h}{13}

Multiply both sides by 13

13 × cos24° = h

⇒ h = 11.9 cm ( to 1 dec. place )

8 0
3 years ago
Read 2 more answers
Select all answers that have a value of 22?? Help..
Tom [10]

Let's plug in the variables one by one.

6g - 2h

plug in 5 for g and 4 for h

6(5) - 2(4)

multiply

30 - 8

subtract

→ 22

20g

plug in 2 for g

20(2)

multiply

40

2(g + 1)

plug in 10 for g

2(10 + 1)

add

2(11)

multiply

→ 22

4g + 5h

plug in 1 for g and 4 for h

4(1) + 5(4)

multiply

4 + 20

add

24

Therefore, the answers that have a value of 22 are 6g - 2h and 2(g + 1)

6 0
3 years ago
Read 2 more answers
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