4 years ago

Adding and subtracting complex numbers question

Mathematics

1 answer:

Darina [25.2K]4 years ago

8 0

True because i² = -1 and a and b are real

You might be interested in

Find the measure of the indicated angle.

Lemur [1.5K]

Answer: 88 - 180 =? ÷2

Step-by-step explanation:

4 0

3 years ago

Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3

maria [59]

Answer:

$a_1=4\\\\a_2=0\\\\a_3=3$

Explanation:

The equation is:

$a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}$

and

$a_4=-7, a_5=-36, a_6=-85$

1. Subsittute n = 6 into the equation:

$a_6=3a_{5}-5a_{4}-4a_{3}$

Now subsititute the known values:

$-85=3(-36)-5(-7)-4a_{3}$

You can solve for $a_3$

$-85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3$

2. Substitute n = 5 into the equation:

$a_5=3a_{4}-5a_{3}-4a_{2}$

Substitute the known values and solve for $a_2$

$-36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0$

3. Substitute n = 4 into the equation, subsitute the known values and solve for $a_1$

$a_4=3a_{3}-5a_{2}-4a_{1}$

$-7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4$

7 0

3 years ago

Below is a pair of parallel lines p and q, and cut by

asambeis [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

ASAP PLEASE!! The morning temperature on Saturday was 21.5°. By 10:00 it had warmed up 6.25°. What is the new temperature?

zaharov [31]

The temperature would be (21.5 + 6.25) which is 27.75

4 0

3 years ago

A store offered a 15% discount for all employees. What is the amount of

Rom4ik [11]

Answer: discount amount is $6.75

Step-by-step explanation:

1. multiply 45 by 15% (0.15) = $6.75

2. price of an item with discounted amount would equal $38.25

4 0

2 years ago