(1-6i)-(3-4i)
please solve this perblom

Answers

Answer 1

Answer:

-2 - 2i

Step-by-step explanation:

open the bracket

1 - 6i - 3 + 4i

1 - 3 + 4i - 6i

-2 - 2i

Answer 2

Answer:

-2 - 2i

Step-by-step explanation:

Complex number

Add the real numbers (1 and (-3) ) and add the complex numbers [ 4i  and (-6i) ]

(1 - 6i) - ( 3 - 4i) = 1 - 6i - 3 + 4i

                        = 1 -3 - 6i + 4i

                        = -2 - 2i

 We have to open the brackets. To do that Multiply (-1) with (-3) & 4i. Now, complex numbers are (-6i) and 4i. So combine them. 6i and 4i have different signs. So, subtract and the result will have bigger number sign. Here the bigger number sign is negative. So,  -6i + 4 i = -2iNow combine real numbers. 1 - 3 = -2


Related Questions

Find the lateral area of the prism.
11cm
4cm
4cm

Answers

Answer:

120 cm squared

Step-by-step explanation:

1.the bases in this case are in blue,these are not included in lateral surface area.

first we must find the area of the top & bottom squares.

(4x4=16)

Then the side rectangles

(11x4=44)


then We add,there are two squares and two rectangles included in the lateral surface area.So we can do 16x2=32 and 44x2=88.

now that we have all our measurements we can add these numbers

88+32=120 cm squared

Use Pythagorean Theorem to solve for x. Show all work. Keep all answers in simplified
radical form.

Answers

Step-by-step explanation:

a^2 +b^2 = c^2

8^2 +4^2= c^2

64 + 16= c^2

80= c^2

take square root of both sides and you get

c=8.94


What is the number sentence for "1 less than N is the sum of Z and
2"?

Answers

Answer:

N–1=Z+2 should be the solution.

Look at the image below.
7
5
4
What is the area of the triangle?

Answers

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (with a 90° angle) to each other.

it does not matter, if the height is inside or outside of the triangle.

so, in our case the area is

4×5/2 = 2×5 = 10 units²

The area of the triangle given in the figure is 10 units².

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given a triangle.

The formula to find the area of the triangle is,

Area  = 1/2 × base × height

Base = 4 units

Height = 5 units

Area of the triangle = 1/2 × 4 × 5

                                 = 10 units²

Hence the area of the triangle is 10 units².

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The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0
2 3
Probability .17
.13
.33 .16 .11
.10
Find the probability that x ≤ 0

Answers

Answer:

[tex]P(x\leq 0)=0.37[/tex]

Step-by-step explanation:

[tex]P(x\leq 0)= P(0)+P(2)+P(3)P(x\leq 0)= 0.16+0.11+0.10\\P(x\leq 0)=0.37[/tex]

Answer: 0.79

Step-by-step explanation:

Find the location of G, the midpoint of FH.

Answers

The coordinate of G is (3,6.5).

What is Section Formula?

When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.

The Coordinate of F is (1, 7)

The Coordinate of H is (5,6)

Since G is the midpoint. So, it divides the line FH in 1:1 part

Let coordinates of G be (x, y)

Now using Section Formula,

[tex]x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}[/tex]

x= 3 and y = 6.5

Hence the coordinate of G is (3,6.5)

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If a graph of y=-9x + 3 were changed to a graph of y=-9x + 1, how would the
y-intercept change?
A. The y-intercept of the new graph would shift up 2 units.
B. The y-intercept of the new graph would shift down 2 units.
C. More information is needed to determine the change.
D. The y-intercept would remain the same.

Answers

Answer:

B I think..................................

Answer for points I know the answer

Answers

Answer: 2.2 inches

Step-by-step explanation:

The answer is 2.25 inches.

Explanation:

The data counts by intervals of 0.25, beginning at 2. The mode, or the value that occurs the most in this series, would be 2.25 because the question asks which amount of growth is the most common.

please help me fast as you can ​

Answers

(i) 47 * 1 = 47

Why? This is because the Multiplication Identity Property states that any number w multiplied by 1 is equal to w

(ii) 135 * 0 = 0

Why? The Zero Property of Multiplication states that 0 multiplied by any number is 0.

(iii) 3 * 5 = 5 * 3

Why? The order numbers are multiplied in does not impact the answer's value according to the Commutative Property of Multiplication

(iv) 7 + 0 = 7

Why? The Zero Property of Addition states that 0 added to any number x is equal to x

(v) 125 * 315 - 125 * 215 = 125 * (315 - 215) = 12500

Why? The Distributive Property states that a * c - a * b = a * (c - b).

of the prism below is a
square with a circular hole in it.
Work out the volume of the prism.
Give your answer to 3 s.f.
5 cm
6 cm
The cross-section
13 cm

Answers

Answer:

704 cm³

Step-by-step explanation:

Things to understand :

The 3D figure removed by making a circular hole through the prism is a cylinder. The original shape was a rectangular prism.Volume of the prism is equal to the difference between the volume of the rectangular prism and cylinder.

Solving :

Volume (prism) = Volume (rectangular prism) - Volume (cylinder)

Volume = LWH - πr²h

Volume = 5 x 13 x 13 - π x 3² x 5

Volume = 845 - π x  45

Volume = 845 - 141.3

Volume = 704 cm³

[tex] \boxed{\sf \: Answer : Volume \: of \: prism \: is \: 703.7 cm³}[/tex]

Step-by-step explanation:

Information about diagram- The diagram is a square prism with a circular hole in it.

Given:

length of prism (a) = 13cm

height of prism (h) = 5 cm

diameter of circle(d) = 6 cm

To find:

Volume of prism =?

Solution:

Formula that would be used,

[tex] \sf volume \: of \: square \: prism = {a}^{2} h[/tex]

[tex] \sf volume \: of \: cylinder = \pi {r}^{2} h[/tex]

Let's calculate the overall volume of prism,

Volume of prism(including volume of hole) V = a²h

[tex] V = a²h \\ V = {13}^{2} \times 5 \\ V = 845 \: {cm}^{3} [/tex]

To find out the volume circular hole we need to find the radius of hole, since the diameter of hole is given we can calculate the radius by multiplying 1/2.

[tex]r= \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \: cm[/tex]

now calculate the volume of circular hole inside the prism,

Volume of circular hole(cylindrical shape) v= πr²h

[tex]v = \pi {r}^{2} h \\ v = 3.14× {3}^{2} ×5 \\ v = 141.3 \: {cm}^{3}[/tex]

The volume of given diagram of prism (V') = Volume of overall prism(V) - volume of circular hole(v)

[tex]V' = V- v \\ V' = 845 - 141.3 \: \\ V' = 703.7 \: {cm}^{3}[/tex]

Answer - Volume of prism is 703.7 cm³

[tex] \small \sf Thanks \: for \: joining \: brainly \: community![/tex]

which of the follow r-values represents the no or low coorelation

Answers

The r-value that represents the no or low correlation is 0.0

How to determine the r-value?

For a r value to show no correlation, then the r value must be 0 or close to 0

Since the r values are not given, then we can assume that the r value is 0

Hence, the r-value that represents the no or low correlation is 0.0

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Select the correct answer.
1
Which number is the additive inverse of –10 1/4
O A.
0
Ang
OB.
10 1/4
oc. 4/41
OD. -4 1/10
Reset

Answers

Answer:

The additive inverse of the number -10 1/4 is +41/4

The additive inverse of any number is such a number added to the given number to get zero.

Let the additive inverse of the given number be "x", hence:

-10 1/4 + x = 0

x = 0 - (-10 1/4)

x = 10 1/4

x = 41/4

Hence the additive inverse of the number -10 1/4 is +41/4

A scale drawn on the map shows that 1 inch represents 20 miles. If two cities
are 2.5 inches apart on the map, what is the distance between them in real
life?
O A. 50 miles
O B. 20 miles
O C. 40 miles
D. 30 miles


Answers

Answer:

50 miles

Step-by-step explanation:

20 multiplied by 2.5 = 50

Ibehdhdsxydithdkydlgsits

Answers

160

Step-by-step explanation:

Due to the kite being a 2D Object you can just add the numbers of each side up to get to the answer 160. If I'm wrong then I'm sorry I hope this helped though!

I have this question and I can’t figure it out.

Answers

Answer:

-1. 7,-1,0,2,-2

Step-by-step explanation:

Intergers are from negative to positive numbers

Is 12 , 7 , 2 , -3 ... an arithmetic sequence ?

Answers

Answer:

Yes, you subtract 5 every time

Which boxes have a volume of 120 cubic feet: box a: a length of 5 feet, width of 4 feet, a height of 6 feet. Box B: length of 7 ft, width of 7 ft and height of 6 feet. Box c: length of 3 feet, width of 6ft, height of 4 feet. Box D: length of 10 feet, width of 3 feet, height of 4 feet. Also fatso

Answers

a. to find volume of a cube/rectangular prism. multiply height x width x length

The probability that an international flight leaving the United States is delayed in departure in (event D) is .27. The probability of an international flight leaving the United States is a transpacific flight (event P) is .58. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14.
(Q) What is the probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight?

Answers

The probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight is 0.241

How to determine the probability?

The given parameters are:

P(D) = 0.27

P(P) =0.58

P(D and P) = 0.14

The required probability is then calculated using:

P(D | P) = P(D and P)/P(P)

This gives

P(D | P) = 0.14/0.58

Evaluate

P(D | P) = 0241

Hence, the required probability is 0.241

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-15x+12
what is the answer

Answers

−3(5x−4) is the correct answer

Answer:

If you need to factor this equation the answer is =3(-5x+4)

Step-by-step explanation:

-15x+12

-15/3 = -5      

3/12 = 4

= 3(-5x+4)

A few years ago, Simon Powell purchased a home for $200,000. Today, the home is worth $350,000. His remaining mortgage balance is $150,000. Assuming that Simon can borrow up to 80 percent of the market value, what is the maximum amount he can currently borrow against his home?

Answers

The maximum amount Simon Powell can borrow against his home is $130,000.

How to calculate the maximum amount that can be borrowed against a home

The maximum amount Simon Powell can borrow against his home can be calculated using the following formula:

Maximum amount that can be borrowed = (Current value of the home * Percentage of the market value that can be borrowed) - Mortgage balance …………………. (1)

Substituting all the relevant values into equation (1), we have:

Maximum amount that can be borrowed = ($350,000 * 0.80) - $150,000 = $130,000

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help will mark Brainliest!!​

Answers

Answer:

A. (h+(h-2) =14)...

I hope this is right! And go on your test! :)

Denice made 9 identical bags using 4 yards of fabric. How much fabric did denice use for each bag

Answers

Answer:

Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.

Step-by-step explanation:

First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.

ABC School has 150 students enrolled who do not speak English. It is also known that 6/7 of the students can recognize all 26 letters. How many students still needs to learn the entire alphabet? Type your answer to the nearest whole number.

Answers

Answer:

about 21 students

Step-by-step explanation:

total students: 150 students enrolled

recognize all letters: 6/7 of the students

To find 1/7 of the students: divided the 150 by 7

150/7 = 21.4285           this is for 1/7th of students

since 1/7th of the students need to learn the alphabet (7/7 - 1/7 = 6/7)

OR

150/7 = 21.4285           this is for 1/7th of students

150/7 x 6 = 128.57        this is for 6/7th of students

150 - 128.57 = 21.4285

25x^4-8y^4 is not the difference of two squares. Identify the correct explanation for this statement.

Answers

Answer:

8y4 is not a perfect square.

Step-by-step explanation:

Knowing that; A difference of two perfect squares,  A2 - B2  can also be factored into  (A+B) • (A-B)

Verification;

(A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Notes;

AB = BA is the commutative property of multiplication.

AB + AB equals zero and is therefore eliminated from the expression.

Answer:

25  is the square of  5

8 is not a square

- On her first three quizzes Jenna averaged 8 correct answers. On the next two quizzes she averaged 9 correct answers. What decimal number shows Jenna's average score on all five quizzes?​

Answers

Answer:

8.4

Step-by-step explanation:

Add 8+8+8+9+9=42 then 42/5 equals 8.4

Hope this helps! ;-)

In a group of 60 students, 14 students take Algebra I, 20 students take
Algebra II, and 7 students take both subjects. How many students don't take
either of these subjects?
OA. 19
B. 28
O
C. 32
D. 33

Answers

The answer is D, or 33. While the question may be misleading, it’s only referring to Algebra II. 20 + 7 = 27, and 60 - 27 = 33. Therefore, your answer is 33.

ayuda plis /help please ​

Answers

Answer:

a. 8

b. -12

c. 18

d. -22

e. 14

f. -2

g. -16

creo q seria asi no estoy muysegurappp

please answer this question​

Answers

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = p and y = -q

Step-by-step explanation:

To find

The value of x and y

Given

px + qy = p² - q²(equation 1)

qx - py = 2py

Solution

{Taking equation 2}

[tex] \sf qx - py = 2py[/tex]

{Taking py on RHS}

[tex] \sf qx = 2py \ + py [/tex]

{Dividing both sides by q

[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]

{Now substituting the value of equation 3 in equation 1}

[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]

{Taking 2p² on RHS and taking LCM on LHS}

[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]

{Dividing (p² + q²) both sides}

[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]

{Now using value of y in equation 3}

[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]

HELPPPPPPPPP MEEEE PLEASEEEEEE

Answers

Answer:

525 ml

Step-by-step explanation:

7 + 4 = 11 ml  

825 ml ÷ 11 ml = 75 units for 1 part ( or A or B ) of drug

75 × 7 ml = 525 ml of part A

and

75 × 4 = 300 ml of part B

• footballs – There are 8 footballs.
• basketballs – Two more than twice the number of footballs are
basketballs.
• baseballs – Four less than 5 times the number of footballs are
baseballs.
• softballs – Six more than half of the baseballs are softballs
Type of Ball
Numerical Expression for the Number of Balls
Total Number of
Each Type of Ball
football (given) 8
basketball
baseball
softball
Mainly need the last part (Numerical Expression for the Number of Balls)

Answers

Answer:

8 futballs

basketballs 18

beisballs 36

softballs 24

Step-by-step explanation:

dos mas del doble (2) de balones de fut = 8x2 = 16, 16+2 = 18

cuatro menos de 5 veces las pelotas de fut = 8x5 = 40, 40-4 = 36

seis mas de la mitad de beis = 36/2 = 18, 18+6 = 24

LISTO

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