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jekas [21]
4 years ago
6

Find the values of x and y that satisfy the equation. 3x+6i=27+yi x

Mathematics
2 answers:
Damm [24]4 years ago
7 0

Answer:

x=9, y=6

Step-by-step explanation:

Step-by-step explanation:

we have

3x+6i=27+yi

Equate the Real Numbers

3x=27

solve for x

Divide by 3 both sides

x=27/3=9

Equate the  Imaginary Numbers

6i=yi

Simplify

6=y

Rewrite

y=6

therefore

x=9, y=6

Misha Larkins [42]4 years ago
3 0

Answer:

x = 9

y = 6

Step-by-step explanation:

3x+6i=27+yi

The real components have to be equal and the imaginary components have to be equal

3x = 27

divide by 3

3x/3 = 27/3

x=9

6i = yi

Divide by i

6 = y

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4 0
3 years ago
6h^5+0h^4-12h^3+0h^3+0h=0
aliya0001 [1]
<h2>The value of h = 0,  ± \sqrt{2}</h2>

Step-by-step explanation:

We have,

6h^5+0h^4-12h^3+0h^3+0h=0

To find, the value of h = ?

∴ 6h^5+0h^4-12h^3+0h^3+0h=0

⇒ 6h^5 + (0)h^4 - 12h^3 + (0)h^3 + (0)h = 0

⇒ 6h^5 + 0 - 12h^3 + 0 + 0 = 0

⇒ 6h^5  - 12h^3 = 0

Taking 6 h^3 as common, we get

6h^3(h^2-2) = 0

⇒6h^3 = 0 or,   h^2 - 2 = 0

⇒ 6h^3 = 0 ⇒ h = 0

⇒ h^2 = 2  

⇒ h = ± \sqrt{2}

Hence, the value of h = 0,  ± \sqrt{2}

7 0
3 years ago
Eight toymakers each carved 25 blocks<br> and 15 cars. How many toys did they<br> carve in all?
taurus [48]

Answer: 320 toys

Step-by-step explanation:

We can use an expression to solve this question.

8 (25 + 15)

8 (40)

320

4 0
3 years ago
suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, h
slega [8]

We are 114.28 m from the base of the plateau .

<u>Step-by-step explanation:</u>

Here we have , suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, WE need to find that how far are you from the base of the plateau . If we see in question , it's clearly a question from application of trigonometry :

We have ,

Perpendicular = 80 m

Base = x

Angle =  35 = \alpha ( between base & hypotenuse )

It's a right angled triangle , So

tan\alpha  = \frac{Perpendicular}{base}

⇒ tan\alpha  = \frac{Perpendicular}{base}

⇒ tan35  = \frac{80}{x}

⇒ x  = \frac{80}{tan35}

tan35 = 0.7

⇒ x  = \frac{80}{0.7}

⇒ x  = 114.28m

Therefore, We are 114.28 m from the base of the plateau .

3 0
3 years ago
8+9=
Bumek [7]

Answer:

17

Step-by-step explanation:

7 0
3 years ago
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