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azamat
3 years ago
11

PLEASE HELP SOMEONE!!!

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

y = -2x

Step-by-step explanation:

For direct variation:  y = kx, where k is the constant of proportionality.

Given that Y equals -12 when x equals 6, we have -12 = k(6).  Solve this for k by dividing both sides by 6:

k = -12/6 => k = -2

Then the "direct variation equation" here is y = -2x.

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All three please 10 points
GaryK [48]

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

5(x + 2) - 2 = 3(x - 2)

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

5 0
3 years ago
How many strings of eight english letters are there
Alex17521 [72]
D because I answered it at school and it was correct
8 0
3 years ago
Unit form of 3 3 3 3 3=15
Anni [7]
I believe your looking for 3*5 and that's simplified I guess
4 0
3 years ago
Read 2 more answers
2. Find the measure of angle L.
BabaBlast [244]

Answer:

∠ L ≈ 21.6°

Step-by-step explanation:

Using the Sine rule in the triangle

\frac{MN}{sinL} = \frac{LM}{sinN} , that is

\frac{34}{sinL} = \frac{42}{sin27} ( cross- multiply )

42 × sinL = 34 × sin27° ( divide both sides by 42 )

sinL = \frac{34sin27}{42} , then

∠ L = sin^{-1} ( \frac{34sin27}{42} ) ≈ 21.6° ( to the nearest tenth )

4 0
2 years ago
Please help me!! No files allowed. I need the answer and an explanation!
Alexus [3.1K]

Answer:

I belive the answer is 1/324

5 0
2 years ago
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