AnswerAnswer: C
Step-by-step explanation:c
SInce one of the zeros is 1 - 2i, another zero has to be 1 + 2i.
You get a complex zero by taking the square root of a negative number, When you take the square root of a number you get two answers (unless you are taking the square root of zero).
In order to get -2i you had to be taking the sqrt (-4) which is + - 2i
Answer: first option
Step-by-step explanation:
To form an arithmetic sequence, you have that for the sequence
:

Therefore, to calculate the value of k to form an arithmetic sequence, you must solve for k, as following:
- Add like terms:

- Divide both sides by 12. Then you obtain;

Answer:
5/3
Step-by-step explanation:
Tangent is defined as the length of the opposite side of the triangle divided by the length of the adjacent side of the triangle. Since you know that two of the legs are 3 and 4, using the pythagorean theorem you know that the last side is 5. Sin is defined as the length of the opposite side divided by the length of the hypotenuse, which in this case is 3/5. Cosecant is just the reciprocal of that, or 5/3. Hope this helps!

<h2>x = 2 , y = 3</h2>
Step-by-step explanation:
As the given figure is a rectangle, therefore the opposite sides should be equal. So -
3x + y = 12 – y...(eqn (i) )
and
y – x = x – 1...(eqn (ii) )
Solving eqn (ii) we get -
→ y – x = x – 1
→ y = x + x – 1
→ y = 2x – 1...eqn(iii)
Solving eqn (i) we get -
→ 3x + y = 12 – y
→ 3x = 12 – y – y
→ 3x = 12 – 2y
Substituting the value of eqn (iii)
→ 3x = 12 – 2(2x– 1)
→ 3x = 12 – 4x + 2
→ 3x + 4x = 14
→ 7x = 14
→ x = 14/7
→ x = 2
<h3>Hope it helps you!!</h3>