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Cloud [144]
3 years ago
7

Think about plotting points in the complex plane to represent the following numbers: -3+8i, 4i, 6, 5-2i. (on the horizontal axis

, on the vertical axis, quadrant 1, quadrant 2, quadrant 3, quadrant 4)
Mathematics
2 answers:
9966 [12]3 years ago
8 0
For this case we represent in the complex plane numbers of the form:
 a + bi
 
Where,
 a: real part
 bi: imaginary part
 We represent the real part on the x axis.
 We represent the imaginary part in the y axis.
 Therefore, for the following numbers we have:
 -3 + 8i: quadrant 2
 4i: on the vertical axis
 6: on the horizontal axis
 5-2i: quadrant 4
Brut [27]3 years ago
8 0

Answer:

-3 + 8i: quadrant II

4i: on the vertical axis

6: on the horizontal axis

5-2i: quadrant IV

ON EDGE :)

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Cathy rolls a number cube that is labeled from 1 to 6.
MatroZZZ [7]

Answer: 2/3

Cathy rolls a number cube that is labeled from 1 to 6.

Total outcomes = {1,2,3,4,5,6}

she rolls an even number or a multiple of 3

Outcomes of an even number = {2,4,6}

Outcomes of multiple of 3 = {3,6}

so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}

Probability ( any event) =number of favorable outcomes divide by total  number of outcomes

probability(even number or a multiple of 3) = \frac{4}{6}=\frac{2}{3}

7 0
3 years ago
The ratio of girls to boys in a class is 5 to 4 if there are 20 boys then how many total students are in class
LuckyWell [14K]

answer:

36

explanation to answer:

6 0
3 years ago
ABCD is a rectangle. What is the value of x? A 56 m B 65 m Xm C​
nalin [4]

Answer:

ABCD is a rectangle. What is the value of x? A 56 m B 65 m Xm C

3 0
2 years ago
Need help with homework
motikmotik

We have two points describing the diameter of a circumference, these are:

\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}

Recall that the equation for the standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})

Now, we replace and solve:

\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}

The center of the circle is (-8,-7), so:

\begin{gathered} h=-8 \\ k=-7 \end{gathered}

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

r^2=\Delta x^2+\Delta y^2

In this case, we will solve the delta with the center coordinate and the B coordinate.

\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}

Therefore, the equation for the standard form of a circle is:

\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}

In conclusion, the equation is the following:

(x+8)^2+(y+7)^2=25

4 0
9 months ago
Quanto é 60 x 11 + 346²
Bond [772]

Answer:

120376

Step-by-step explanation:

Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.

Espero que isso ajude você! :)

8 0
3 years ago
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