In which quadrant is the number 6 – 8i located on the complex plane?I
II
III
IV

Answers

Answer 1

Answer:

The number 6 - 8i is located in the thirdquadrant of the complex plane.

Option C is the correct answer.

What are quadrants?

The term "quadrants" usually refers to the four regions of the Cartesian plane, which is a two-dimensional coordinate system.

The plane is divided into four regions called quadrants, labeled I, II, III, and IV, which are numbered counterclockwise starting from the upper right quadrant (I).

Quadrant I: The point has positive x and positive y coordinates.

Quadrant II: The point has negative x and positive y coordinates.

Quadrant III: The point has negative x and negative y coordinates.

Quadrant IV: The point has positive x and negative y coordinates.

We have,

To determine the quadrant where the complexnumber 6 - 8i is located, we need to consider the signs of the real and imaginary parts of the number.

The realpart of the number is 6, which is positive, indicating that the number lies to the right of the origin.

The imaginarypart of the number is -8i, which is negative, indicating that the number lies below the origin.

Therefore,

The number 6 - 8i is located in the thirdquadrant of the complex plane.

Learn more about quadrants here:

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Answer 2

Answer:

Answer:

Step-by-step explanation:

The 6 is to the right of the x axis ( positive x) and the -8i is below the x axis to the right.

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Halfway through a bus route, 23 students have been dropped off and 48 students remain on the bus. Write an equation to determine whether there are 61 or 71 students on the bus at the begginning of the route.

Answers

Answer: The required equation is

$x=23+48\n\Rightarrow\ x=71$

Thus, there are 71 students on the bus at the beginning of the route.

Step-by-step explanation:

Given: The number of students dropped off = $23$

The number of students remain on the bus = $48$

Let 'x' be the total number of students in the bus then we get the equation as

$x=23+48$

On adding 23 to 48, we get 71

Hence, $x=71$

Therefore, There are 71 students on the bus at the beginning of the route.

48+23=71. So seventy one students were on the bus then 23 were dropped off leaving 48 remaining

All of my points to anyone who can help me with these..! Marking Brainliest as well

Answers

Answer:

1. 186

2. 240

Step-by-step explanation:

1. D =3w+60

D =3(42)+60

D =186

2. I =48t

I =48(5)

I =240

Answer:

Question one 186

Question two 240

Step-by-step explanation: You multiply the variable (the letter) by the number that the person is using

What’s 4 6/12 -1 11/12 in fraction form

Answers

Answer:

31/12

Step-by-step explanation:

a school principal orders 75 boxes of chalk. each box has 12 sticks of chalk, the school has 23 teachers. Does the principal have enough chalk to give each teacher 40 sticks? if yes, how many sticks are left over? if no, how many more sticks does the principal need?

Answers

well 75x12=900 so 900 divided by 40 is 22.5 so 22 teachers can have 40 chalks but the principal needs to order another 20 :)

Determine and prove what shape is formed for the given coordinates for ABCD, and then find theperimeter and area as an exact value.
A (10,-4), B (6,-7), C (3,-3), D (7,0)

Answers

Answer:

Square

Step-by-step explanation:

Plot points A (10,-4), B (6,-7), C (3,-3), D (7,0) on the coordinate plane.

Find slopes of the sides:

$AB:\ (-7-(-4))/(6-10)=(3)/(4)\n \nBC:\ (-3-(-7))/(3-6)=-(4)/(3)\n \nCD:\ (0-(-3))/(7-3)=(3)/(4)\n \nDA:\ (-4-0)/(10-7)=-(4)/(3)$

The slopes of opposite sides are the same, so opposite sides are parallel. The slopes of adjacent sides have product of -1, then adjacent sides are perpendicular.

Find the lengths of all sides:

$AB=√((10-6)^2+(-4-(-7))^2)=√(4^2+3^2)=√(16+9)=√(25)=5\ units\n \nBC=√((6-3)^2+(-7-(-3))^2)=√(3^2+4^2)=√(16+9)=√(25)=5\ units\n \nCD=√((3-7)^2+(-3-0)^2)=√(4^2+3^2)=√(16+9)=√(25)=5\ units\n \nAD=√((10-7)^2+(-4-0)^2)=√(3^2+4^2)=√(16+9)=√(25)=5\ units\n \n$

All four sides are of the same length.

Quadrilateral ABCD is a square (all sides of equal length and perpendicular)

A box contains 2 bags of corn chips, 8 bags of potato chips, and 10 bags of pretzels. One bag is chosen at random.What is the probability that a bag of pretzels is chosen?

A.1/2

B.2/3

C.3/4

D.1/3