Simplify: (5 + i)(5 − i)
A) −12
B) 24i
C) 26
D) 8i

Answers

Answer 1

Answer:

C) 26

Simplify using the FOIL method--used to multiply binomials--and then combine real and imaginary parts of the problem.

5 × 5 = 25 + positive 1(i) = 26

Answer 2

Answer:

option c, 26

Step-by-step explanation:

(5 + i)(5 - i)

Apply complex arithmetic rule: (a + bi)(a - bi) = a^2 + b^2

a = 5, b =1

(5)^2 + (1)^2

(5)^2 = 25

(1)^2 = 1

25 + 1


Related Questions

What is the square root of 1 x pi

Answers

Answer:

3.14159265359 or simplify it to 3.14...

A coordinate plane. Point A is plotted at (2, 7). Point B (2, 1). Point C (9, 8). Point D (8, 3). Point E (7, 7). A point has been translated right and up. The image of the point is point E. What point is the pre-image of point E? A B C D

Answers

Answer:

It's B

Step-by-step explanation:

Source: Trust me bro

Plus I just got done doing it

Find p write your answer in simplest radical form

Answers

Answer:

sqrt (98)

Step-by-step explanation:

The two 45 degree angles result in equal length legs in this right triangle ..

 use pythagorean theorem

7^2 + 7^2 = p^2

sqrt (98) = p  

can you please answer and explain this question​

Answers

Answer:

mean: 106900

median: 8500

mode: 7,000, 8,000, and 11,000

Step-by-step explanation:

To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.

Give one solution for in each of the following statements.

25≡ 5


36≡ 8


50≡ 9

Answers

So

#1

25=5xx=25/5x=5

#2

36=8xx=36/8x=9/2x=4.5

#3

50=9xx=50/9x=5.55

Answer:

25 = 5

x = 25 - 5

x = 20

38 = 8

x = 38 - 8

x = 30

50 = 9

x = 50 - 9

x = 41

A lion can run at a speed of 1.43 kilometers per minute. How fast can the lion run in miles per hour

Answers

The loin's speed in miles per hour will be 53.31 miles per hour.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

It is given that:-

lion can run at a speed of 1.43 kilometres per minute.How fast can the lion run in miles per hour

Now to find the speed of a lion in miles per hour we have the following relationship.

[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]

Therefore the loin's speed in miles per hour will be 53.31 miles per hour.

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What is the equation of the line written in slope-intercept form that passes through the point (-1, 5) and is parallel to the line y = -2x – 5?

Answers

Answer:

Step-by-step explanation:

y - 5 = -2(x + 1)

y - 5 = -2x - 2

y = -2x + 3

if A=-3+5i, B=4-2i and C=1+6i, where i is imaginary unit, then A-BC equals to what?

Answers

Multiplication is the process of multiplying. The value of A-BC is equal to -19-17i.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The value of BC is,

BC = (4-2i)×(1+6i)

BC = 4 + 24i - 2i -12i²

BC = 4 + 22i - 12(-1)

BC = 4 + 22i +12

BC = 16 + 22i

Now, the value of A-BC will be equal to,

A-BC = (-3+5i)-(16+22i)

         = -3+5i-16-22i

         = -19 - 17i

Hence, the value of A-BC is equal to -19-17i.

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Question 1:
Your goal this year is to earn a B or better in Algebra class.
If you do, your parents said they would give you $200.
Write an inequality to represent the grades you can earn
and receive money from your parents for it. Then explain
the graph for the inequality. Hint: Remember you cannot
earn higher than a 100 in any class.

Answers

[tex]b \geqslant x \leqslant a[/tex]

Anyone could help out with this

Answers

Answer:

C

Step-by-step explanation:

The answer is the orange one because pie * radius^2 leads to the area of the circl.e

The base diameter and the height of a cone are both
equal to x units.

Answers

Answer:

π x³ /12 is the volume of the cone if  A cone has a height of x and a diameter of x

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units

Diameter of cone = x  units

Radius = Diameter /2

=> Radius of cone = x/2 units

Height of cone =x units

Volume of cone = (1/3) π r²h

r = radius h = height

=> Volume of cone =  (1/3)π (x/2)² * x

= (1/3) π (x²/4) * x

= (1/12)  π x³

= π x³ /12 cubic units

Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3. Which represents the number of antique flower vases Christine can buy?​

Answers

Answer:

a ≤ 20

Step-by-step explanation:

a = number of lower vases, in $

3a = cost of a flower vases, in $

10 + 3a = = cost of $10 worth of flowers plus a vases

10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase

must be less than, or at most equal to $70.

Subtracting  10 rom both sides of the inequalour

gives us an equivalent inequality

3a ≤ 70 - 10 <--->  3a ≤ 60

Multiplying (or dividing) both sides by a positive number

gives us an equivalent inequality, so

a ≤ 60/3  <---> a ≤ 20

Solve the inequality and graph the solution
x +1 2/5 _< 6 8/10

Answers

Answer: x < 5 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]

x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]

x < 5 [tex]\frac{2}{5}[/tex]

graph is attached

Trains Two trains, Train A and Train B, weigh a total of 384 tons. Train A is heavier than Train B. The
difference of their weights is 288 tons. What is the weight of each train?
Train A weighs tons.

Answers

i think the answer is 336 bc 384+288=672 then divide

2 is 336,

(so sorry if im  wrong)

Which is a property of polygons?

A polygon is a plane figure.

A polygon is a solid figure.

A polygon has a maximum of 100 sides.

A polygon is an open figure.

Answers

Answer:

The answer is, A polygon is a plane figure,

it has no limit in the number of sides, its not an open figure, its not a solid

Step-by-step explanation:

Hope it helps

Answer:

A Polygon is a plane figure

Step-by-step explanation:

Properties of polygon:

1. A polygon is a plane figure with line segments. Two dimensional figure.

2. A polygon has minimum 3 sides and has maximum limit.

3. The sum of all interior angles of the polygon is given by (n -2)*180 where n is the number of sides.

4. The sum of exterior angles of any polygon is 360

The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets

Answers

The most likely formats used in an observation checklist includes the video recording and audio recording.

What is an observation checklist?

This refers to the list of things that an observer is going to look at when observing a class or sample elements.

Most time, the checklists techniques are put in a sequenced way to observe and evaluates the samples from one point to another.

Therefore, the Option A is correct.

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Use the graph to determine the function’s DOMAIN and RANGE

Answers

Answer:

Domain = x ≥ 0

Range = f( x ) ≥ 1

Step-by-step explanation:

The graph starts from 0 in the x - axis and 1 in the y hence the given domain and range.

Can someone help. I literally forgot this how

Answers

Answer:

Below.

Step-by-step explanation:

The 2 triangles are congruent ( By 2 angles and corresponding side).

The  2 marked angle are congruent so

5y - 30 = 2y + 6

3y = 36

y - 12.

So m < O = 5(12) - 30 = 30 degrees.

and m <N = 180 - 30 - 90 = 60 degrees,   (as there are 180degrees in triangle)

EN = IV = 14.

It is possible to find the measure of OE and ON by using trigonometry of a right triangle.

tan 30 = EN / OE

OE = EN / tan30

= 14/tan30

= 24.3.

sin 30 = 14/ON

ON = 14 / sin 30

= 28.

sixty students were surveyed at random about their favorite music genre. Out of population 1,000 students, how many how many will prefer pop music?

Answers

So we want to know how many out of 1000 people did not listen to any type of the three music types that were surveyed If 30% of people listened to pop, 26% of people listened to rock and 20% of people listened country music. So first lets see how many people liked the three types of music: 30%+26%+20%=76%. So 24% of people did not like the three types of music that were surveyed. Finally we need to see how many people in 1000 is 24%. 24% out of 1000 people is 0.24*1000=240 people. So 240 people didn't like the 3 types of music.

Find the length of arc XPY. Leave your answer in terms of pi.​

Answers

Answer:

2π m.

Step-by-step explanation:

Arc XY is 1/4 of the circumference of the circle

= 1/4 * 2π * r

= 1/2 π * 4

= 2π m.

Question 2(Multiple Choice Worth 1 points)
(06.01 MC)

Classify the expression: −2x

A: Quadratic expression
B: Linear expression
C: Cubic expression
D: Exponential expression

Answers

Answer:

it is a linear expression

Answer:

B. Linear expression

Step-by-step explanation:

Angle t= 37 degrees angle u=? Angle v= 63

Answers

Answer:

[tex]m <U = 80°[/tex]

Step-by-step explanation:

Before we start calculating we have to first note that the angles in a triangle always add up to 180°. Therefore in order to find the missing angle U we have to add both the angles we know, 37° and 63°, then subtract the sum from 180°

[tex]m < U = 180- (37 + 63) \\ \\ m < U = 180 - 100 \\ \\ m< U = 80[/tex]

What is 28 percent as a fraction?​

Answers

Answer:

28 as a fraction would be written as 56/2.

Step-by-step explanation:

The fraction can be written as 7/25.

Explanation:

Given Input Value = 28%

Place the Percentage Value at the top over 100. = 28/100

The given fraction is 28/100.

On reducing the fraction, we get the exact form 28/100. = 7/25

The exact form of the fraction is 7 /25.

What is the slope of a line parallel to the line whose equation is x + y = -7. Fully
simplify your answer.

Answers

Answer:

slope = - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + y = - 7 ( subtract x from both sides )

y = - x - 7 ← in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes

then the slope of a line parallel to it is - 1

What are some key features of sequence and series graphs?

Answers

Answer:

The key features that are unique to the graphs of sequences and series are that they are discrete.

Explanation:

That means that the graph is not a continuous line or curve that joins all the points. On the contrary, the graph is a set of separated dots, because the values are valid only for specific points.

what is 4,649 divided by 39

Answers

Answer:

[tex]4649 \div 39 = 119.205128295[/tex]

Step-by-step explanation:

I hope it's help u

Answer:

119 R 8

Step-by-step explanation:

convert 4649 to tens place, write 1

46 - 39 = 7

drop the 4 in the tens place, write 1

74 - 39 = 35

drop the 9 in the ones place, write 9

359 - 351 = 8

• For each time we got 39 or another number, we wrote the multiple of that number we used to get the result.

We got the remainder by the general subtraction.

Please help me!

Some loose change (pennies, nickels, dimes, and quarters) found behind the couch. Brianna noticed more than half the coins were pennies. Geofrey noticed that there was at least one coin of each type. Michele noticed that you could not make change for the same amount using fewer coins. In the space below, write the total amount of change, in cents, that was found.

Answers

The total amount of change, in cents, that was found is determined as 96 cents.

Total amount of change

The total amount of change is calculated as follows;

let the total = T

there was at least one coin of each type

T = p + n + d + q

more than half of the coins were pennies

[tex]\frac{p+n + d + q }{2} \leq p[/tex]

Value of the coinspennies = $0.01nickels = $0.05dimes = $0.1quarters = $0.25

more than half = pennies

next, we have; nickels + dimes + quarters

number of dimes

y(dimes) = $0.25

y(0.1) = 0.25

y = 0.25/0.1

y = 2.5 ≅ 3

dimes = 3 coins

number of nickels

since dimes = 3 coins, number of nickels is now calculated as;

x(0.05) = 3(0.1)

x = (0.3)/(0.05)

x = 6 coins

nickels = 6 coins

Total coins

Total coins = nickels + dimes + quarters + pennies

pennies must greater than 6 coins, since we can't have fewer coins.

Total coins = nickels + dimes + quarters + pennies

let pennies = 7

Total coins = 6 + 3 + 1 + 7

Total coins = 17

half of 17 = 8.5

7 is less than half (8.5), number of pennies cannot be 7, since more than half of the coins are pennies.

let pennies = 11

Total coins = 6 + 3 + 1 + 11

Total coins = 21

half = 10.5

11 is more than half (10.5)

more than half = number of pennies = 11

Total amount in cents

11($0.01) + 6($0.05) + 3($0.1) + 1($0.25) = $0.96 = 96 cents

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Question 16
The triangular prism below represents the shape of Sylvia's tent.
Sylvia's Tent
6 feet
6 feet
10 feet
8.5 feet
What is the volume of the tent in cubic feet?
C 255
D 360
A 180
B 241
1 point

Answers

Answer:

180^3'

Step-by-step explanation:

6x6=36.

36x10=360.

360 divided by 2= 180.

:}

Super Sprouts children's store is having its annual spring sale, when every item in the store gets marked down. During the sale, pajama sets sell for $6 less than full price. Mrs. Rodriguez purchases 4 matching pajama sets: one for each of her children. She pays a total of $68. How much does each pajama set cost at full price? $

Answers

Answer: $23

Step-by-step explanation:

   She buys four pajama sets for $68:

-> Divide total by 4

$68 / 4 = $17

   The sets are on sale for $6 less:

-> Add 6 to individual price

$17 + $6 = $23

   Full price:

      $23

Which shows the equation of the line containing the point (–2, 6) and having a slope of 3 in slope-intercept form?


3y = x + 20


y=3x−20

y = 3x + 12


y=−32x+3

Answers

Answer:

y=3x+12

Step-by-step explanation:

Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)

Point= (-2, 6), Slope= 3

(Anything negative, you add. Anything positive, you subtract.)

Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)

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