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Xelga [282]
3 years ago
13

In which quadrant is the number 6 – 8i located on the complex plane?

Mathematics
2 answers:
alexandr402 [8]3 years ago
5 0

Answer:  The given number is located in Quadrant IV.

Step-by-step explanation:  We are to find the quadrant in which the number (6 - 8i) located on the complex plane.

We know that a complex plane is treated as a two-dimensional plane, where the real part of the number is treated as the x-coordinate and the imaginary part is treated as the y-coordinate.

So, if 'x' and 'y' are positive, then

x + yi  =  (x, y)          Quadrant I

-x + yi  =  (-x, y)         Quadrant II

-x - yi   =  (-x, -y)        Quadrant III

x - yi   =   (x, -y)         Quadrant IV

Given number is

(6 - 8i) = (6, -8).

Therefore, the given number is located in Quadrant IV.

zavuch27 [327]3 years ago
3 0
The answer is the 4th quadrant xx <span>The real axis is the x-axis and the imaginary axis is the y-axis</span>
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Necesito encontrar expresiones equivalentes a los valores del 1 al 20 pliss
Mariulka [41]

Answer and Step-by-step explanation:

Si está buscando una expresión que sea igual a los números del 1 al 20, intente hacer una. Por ejemplo, 2y + 1x = 18 donde y = 9 - x / 2 y x = 18 - 2y. Siempre que la expresión sea igual a menos de 20, ¿no?

Lo siento, no entendí muy bien la pregunta, ¡pero espero que esto te haya ayudado! ¡Ten un día maravilloso! <3

**Tenga en cuenta que mi español no es el mejor, lo siento mucho, hablo principalmente inglés. Mi mal, con suerte, me puedes entender.**

4 0
2 years ago
How do I find each measure? Please I need answers ASAP it's due at 1:50
Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

\begin{gathered} 136+z+z=180_{}\text{    (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}

So measure of angle ABC is 22 degrees.

3 0
9 months ago
If p represents the original price, which of the following expressions could be used to calculate the sale price of a shirt that
dezoksy [38]

Answer:

C & D

Step-by-step explanation:

You can do these two ways. You can multiply the cost of the the shirt by 15% (.15 as a decimal.) and then subtract that answer from the original price of the shirt to get the sales price of the shirt.

You can also multiply the price of the shirt by 85% (.85 as a decimal) and that will give you the sales price without having to subtract. 15% + 85% = 100%, so 85% represents the sales price of the shirt.

Anyway, since you multiply, you can eliminate choice A & B.

Since the direction in the question says to select all that apply, I would check both C & D.

C is the equation of the first way I talked about- Price - 15% * price

C       p - 0.15p

D is the equation of the second way I talked about. Price times 85%

D            0.85p

7 0
2 years ago
What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?
Debora [2.8K]

Answer:

48m

Step-by-step explanation:

Formula: lwh

4*2*6=48m

6 0
2 years ago
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Lilit [14]

Answer:

Ok the answer of 6 are  12, 18, 24, 30, 36, 42, and 48. The multiples of 9 are 18,27,36,45,54,63,72,81,90,99,108,117,126,135,144,153,162,171,180,189,198,. Hope it helps!

7 0
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