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
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.
Vertical angles are always equal.
x = 130
That's your answer.
Have an awesome day! :)
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.
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 = 