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MAXImum [283]
3 years ago
11

12 y − 18 6 = 4 y + 3 12 y - 18 6 = 4 y + 3

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Step-by-step explanation:

I didn't understood thr question and I'm pretty sure that u made a mistake while writing it

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Find all solutions ​
Anton [14]

Answer:

The solutions of the equation are 0 , π

Step-by-step explanation:

* Lets revise some trigonometric identities

- sin² Ф + cos² Ф = 1

- tan² Ф + 1 = sec² Ф

* Lets solve the equation

∵ tan² x sec² x + 2 sec² x - tan² x = 2

- Replace sec² x by tan² x + 1 in the equation

∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2

∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms

∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides

∴ tan^4 x + 2 tan² x = 0

- Factorize the binomial by taking tan² x as a common factor

∴ tan² x (tan² x + 2) = 0

∴ tan² x = 0

<em>OR</em>

∴ tan² x + 2 = 0

∵ 0 ≤ x < 2π

∵ tan² x = 0 ⇒ take √ for both sides

∴ tan x = 0

∵ tan 0 = 0 , tan π = 0

∴ x = 0

∴ x = π

<em>OR</em>

∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides

∴ tan² x = -2 ⇒ no square root for negative value

∴ tan² x = -2 is refused

∴ The solutions of the equation are 0 , π

4 0
3 years ago
Read 2 more answers
Simplify -9(1-10n) - 2(3n+9)
agasfer [191]

Answer:

3 (28 n - 9)

Step-by-step explanation:

Simplify the following:

-9 (1 - 10 n) - 2 (3 n + 9)

-9 (1 - 10 n) = 90 n - 9:

90 n - 9 - 2 (3 n + 9)

-2 (3 n + 9) = -6 n - 18:

90 n + -6 n - 18 - 9

Grouping like terms, 90 n - 6 n - 18 - 9 = (90 n - 6 n) + (-9 - 18):

(90 n - 6 n) + (-9 - 18)

90 n - 6 n = 84 n:

84 n + (-9 - 18)

-9 - 18 = -27:

84 n + -27

Factor 3 out of 84 n - 27:

Answer: 3 (28 n - 9)

4 0
2 years ago
Which pair shows equivalent expressions?
Dmitry_Shevchenko [17]

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

2(\frac{2}{5}x + 2)

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2

So, 2(\frac{2}{5}x + 2) =\frac{4}{5}x+4

Answer:Option (b)

2(\frac{2}{5}x+4)

Applying distributive property, a(b+c)=ab+ac

2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4

2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4

2(\frac{2}{5}x+4) =\frac{4}{5} x+8

So, Option (B) is correct.

8 0
3 years ago
Read 2 more answers
BRAINLIEST to whoever gets it right ​
STatiana [176]
The scale factor applied to the model is 8000. 8000 times one equals 8000
5 0
3 years ago
Find the values of x and y
Sergio039 [100]

Answer:

i think

x=36 and y=13

Step-by-step explanation:

4 0
2 years ago
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