All categories

3 years ago

The complex numbers corresponding to the endpoints of one diagonal of a square drawn on a complex plane are 1 + 2i and -2 – i.

Mathematics

1 answer:

kodGreya [7K]3 years ago

7 0

Technically the endpoints will be intersection of first endpoint between x=1 and y=-1second endpoint between x=-2 and y=2
so they are 1-i and -2+2i

You might be interested in

4. (#18) A vine is 1.3 inches long now and it will grow 0.2 inches a day. Identify a rule for the linear function that describes

Jet001 [13]

The rule for the linear function that describes the length of the vine is L = 1.3 + 0.2d

The number of days it would take the vine to grow to be 10.3 inches long is 45 days

<h3>Linear functions</h3>

From the question, we are to determine a linear function that describes the situation

From the given information,

Then vine is 1.3 inches long now

and it grows 0.2 inches a day

∴ After the days, the vine will increase by 0.2d in length

Then,

If L represents the length of the vine, d represent the number of days

The length of the vine after d number of days will be

L = 1.3 + 0.2d

Hence, the rule for the linear function that describes the length of the vine is L = 1.3 + 0.2d

Now, we are to determining the number of days it will take the vine to grow to be 10.3 inches long

Using the above linear function

L = 1.3 + 0.2d

10.3 = 1.3 + 0.2d

0.2d = 10.3 - 1.3

0.2d = 9

d = 9 / 0.2

d = 45

Hence, the number of days it would take the vine to grow to be 10.3 inches long is 45 days

Learn more on Linear function here: brainly.com/question/2408815

#SPJ1

7 0

2 years ago

Some rectangles have an area of 36 cm². Let the variable W represent the width of these rectangles. Which expression represents

ZanzabumX [31]

Answer:

The perimeter of the rectangle is expressed as; $P = \frac{72 \ + \ 2W^2}{W}$

Step-by-step explanation:

Given;

area of the rectangle, A = 36 cm²

width of the rectangle, = W

Let L represent the length of the rectangle,

A = L x W

$L = \frac{A}{W} = \frac{36}{W}$

The perimeter of the rectangle is calculated as;

P = 2(L + W)

Substitute the value of L into the above equation;

$P = 2(L + W)\\\\P = 2 (\frac{36}{W} + W)\\\\P = 2 (\frac{36 + W^2}{W} )\\\\P = \frac{72 \ + \ 2W^2}{W}$

Thus, the perimeter of the rectangle is expressed as $P = \frac{72 \ + \ 2W^2}{W}$

8 0

3 years ago

A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the b

jok3333 [9.3K]

The probability of an event occurring is the number of ways the event can occur divided the total number of results possible. Here, the total number of results is 36 since you can take any of 36 marbles. You are interested in 28 ways of taking a non blue marble. P(not blue) = (number not blue)/(total number) so i think it would be i think c or a

4 0

3 years ago

Can someone help me ...

SCORPION-xisa [38]

The correct answer is the square root of 6.5

4 0

3 years ago

Solve each system of equations by substitution. Clearly identify your solution.

Stels [109]

Answer:

(-3, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x + 8

x + y = 2

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: x + x + 8 = 2
Combine like terms: 2x + 8 = 2
[Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6
[Division Property of Equality] Divide 2 on both sides: x = -3

Step 3: Solve for y

Substitute in x [1st Equation]: y = -3 + 8
Add: y = 5

4 0

3 years ago

Read 2 more answers