In which quadrant is the number –14 – 5i located on the complex plane?

1 answer:

4 0

On the complex plane, the real component of a complex number is graphed along the horizontal axis while the imaginary component is graphed along the vertical axis.

Positive numbers go to the right on the real axis and up on the imaginary axis, and vice versa for negative numbers.

Therefore, the number -14-5i is in the 3rd quadrant because it graphed to the left of the origin and down.

You might be interested in

Solve for the missing angle with the question mark

mash [69]

Answer:

it's 60

Step-by-step explanation:

I have done that before

4 0

2 years ago

Whats 5678 divided by 45.7

ddd [48]

5678 divided by 45.7 is 124.245...

3 0

2 years ago

Read 2 more answers

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

Salsk061 [2.6K]

Answer: In June 2097

Step-by-step explanation:

According to the model, to find how many years t should take for $P(t)=21100$ we must solve the equation $0.9t^2+6t+14000=21100$ . Substracting 21100 from both sides, this equation is equivalent to $0.9t^2+6t-7100=0$ .

Using the quadratic formula, the solutions are $t_1= \frac{-6-\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=-92.21$ and $t_2=\frac{-6+\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=85.54$ . The solution $t_1=-92.21$ can be neglected as the time t is a nonnegative number, therefore $t=t_2=85.54$ .

The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.

6 0

2 years ago

The sum of twelve and a number is no greater than sum of twice the number and -8

Leona [35]

1. Write as an algebraic equation:

12 + n ≤ 2n - 8

2. Solve for n.

12 + n - 12 ≤ 2n - 8 - 12

n ≤ 2n - 20

n - 2n ≤ 2n - 20 - 2n

-n ≤ -20

Multiply both sides by -1 (this means you must flip the inequality sign).

n ≥ 20

FINAL ANSWER: n ≥ 20

Hope this helps! Feel free to ask for clarification.

7 0

2 years ago

78 round to the nearest tenth

LenaWriter [7]

78 rounded to the nearest tenth is 80

3 0

3 years ago