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Alex_Xolod [135]
3 years ago
7

9k - 26 = 6k -8 answer

Mathematics
1 answer:
schepotkina [342]3 years ago
8 0

Answer:

k = 6

Step-by-step explanation:

9k - 26 = 6k - 8

9k - 6k = - 8 + 26

3k = 18

k = 18/3

k = 6

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Cot 2 2x – 4cot2x + 3 = 0
jeyben [28]

x = 9.21° or x = 22.5°

cot²2x – 4cot2x + 3 = 0

Let cot2x = y

y² - 4y + 3 = 0

Factorizing, we have

y² - y - 3y + 3 = 0

y(y - 1) -3(y - 1) = 0

(y - 1)(y - 3) = 0

y - 1 = 0 or y - 3 = 0

y = 1 or y = 3

Since cot2x = y

cot2x = 1 or cot2x = 3

1/tan2x = 1 or 1/tan2x = 3

tan2x = 1 or tan2x = 1/3

2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)

2x = 45° or 2x = 18.43°

x = 45°/2 or x = 18.43°/2

x = 22.5° or x = 9.21°

So, x = 9.21° or x = 22.5°

Learn more about cotx here:

brainly.com/question/15546709

4 0
3 years ago
Four times the square of a positive number is eight times that number. Find the number.
kotykmax [81]

Answer:

  2

Step-by-step explanation:

Let x represent the number.

  4x^2 = 8x . . . . . 4 times the square of a number is 8 times that number

  4x^2 -8x = 0 . . . . subtract 8x

  4x(x -2) = 0 . . . . . factor

  x = 0  or  x = 2 . . . . the product is zero when the factors are zero

The positive number is 2.

6 0
3 years ago
What is the value of x
IgorLugansk [536]
Vertical angles are always equal.
x = 130
That's your answer.
Have an awesome day! :)
4 0
3 years ago
500
Rainbow [258]

Options

(A)350 (B)375 (C)725 (D)750 (E)775

Answer:

(E)775

Step-by-step explanation:

From the attached graph

In Year 5

  • 100 shares in ODX Group, Inc. was worth $175
  • 100 shares in Peer Comms Ltd was worth $200

Therefore the Cost of 100 shares in ODX Group, Inc. and 300 shares in  Peer Comms Ltd, in Year 5

=175+3(200)

=175+600

=$775

The correct option is E.

3 0
3 years ago
Replace * with a monomial so that the trinomial may be represented by a square of a binomial:
coldgirl [10]

Answer:

Since:

a^2-2ab+b^2 = (a-b)^2

and

a^2+2ab+b^2 = (a+b)^2

We need to find value of * which is 2ab

In your equation = \sqrt{6.25}  = 2.5 and \sqrt{1/4} = 0.5\\Now 2ab = 2 * 2.5 * 0.5\\ = 2.5\\\\\\* = 2.5ab

7 0
4 years ago
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