Help please
Difference of Squares gives which complex factors for the expression x2 +13
?
A. (x + in13)(x - in 13)
B. (x +13)(x - 131)
C. (x - in/13)(x - iN13)
D. (x + 131) (x - 1312

Answers

Answer 1

Answer:

Option C.

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]

Option C will be the answer.


Related Questions

Owen has 1/4 of a birthday cake left over. He wants to share the leftover cake with 4 friends. What fraction of the original cake will each of the person receive?

Answers

Answer:

1/16

half of 1/4 is 1/8 half of /8 is 1/6

The graph shows the ratio of goals attempted to goals made for two soccer players, Andres and Deyvi. Which player has a better record of making goals? Explain how you know.​

Answers

Answer: Andres

Explanation:

y = goals made

x = goals attempted

For Andres, his ratio is y/x = 4/8 = 1/2 = 0.50 meaning that he made 50% of his attempts

For Deyvi, the ratio is y/x = 9/20 = 0.45 = 45%

Andres has the better record.

a. Is (- 10, 21) a solution of y = - 3x - 9?
b. Is (6, - 27) a solution of y= - 3x-9?

Answers

A) yes; 21=21
B) yes; -18=-18

Let be an angle in standard position. Name the quadrant in which lies.
cos >0, cot >0

Answers

Answer:

Quadrant I

Step-by-step explanation:

The quadrants where [tex]cos\theta>0[/tex] are Quadrant I and Quadrant IV. Since [tex]cot\theta=\frac{cos\theta}{sin\theta}[/tex] and [tex]sin\theta[/tex] is positive in Quadrant I, then Quadrant I will contain values of [tex]\theta[/tex] where [tex]cos\theta>0[/tex] and [tex]cot\theta>0[/tex]

The graph of y=tan(x) is vertically stretched by a factor of 7, shifted a distance of 12 units to the left, reflected across the x-axis, and then translated 15 units downward. Write the equation for the curve in its final position.

Answers

Step-by-step explanation:

A transformation(s) of a parent function is

[tex]f(x) = a(bx - c) + d[/tex]

where a is vertical compression/stretched or reflection

B is horinzotnal compression/stretch or reflection

C is horinzontal translation

D is vertical translation.

The parent function is

[tex]y = \tan(x) [/tex]

First, we stretched this by 7

so we have

[tex]y = 7 \tan(x) [/tex]

We need to shift this 12 units to the left so we have

[tex]y = 7 \tan(x + 12) [/tex]

We need to reflect this across x axis so we get

[tex]y = - 7 \tan(x + 12) [/tex]

We need to shift this downwards 15 so we get

[tex]y = - 7 \tan(x + 12) - 15[/tex]

or because tan is a odd function you could say

[tex]7 \tan( - (x + 12) ) - 15[/tex]

[tex]7 \tan( - x - 12) - 15[/tex]

Mr. Murphy’s dairy cows give 60.4 litres of milk each day. At that rate how many litres of milk will they give in a week?

Answers

Answer:

422.8 liters per week

Step-by-step explanation:

1 week = 7 days

Therefore, 60.4 liters per day

               = 60.4 x 7 per week  

               = 422.8 liters per week

faith earns $18000 a year after a raise she earns $19500 whats the percent

Answers

Answer:

7.7%

Step-by-step explanation:

18000/19500

= 0.923076923

1 - 0.923076923 =

0.076923077

Round

0.077

7.7%

Please help i have a F in math and me is confused.

Answers

Answer:

Complementary, 65°

Step-by-step explanation:

» They are complementary angles.

[tex]{ \tt{x + 25 = 90}} \\ { \tt{x = 90 - 25}} \\ { \tt{x = 65 \degree}}[/tex]

what number is 170% of 16? give your answer to one decimal place(tenth). enter only the number.

Answers

Answer:

170℅×16

=27.2

hope it helps you

make me brainliest...... :)

The number is 27.2, and the number 9.411 is 170% of 16 after applying the concept of the percentage.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

170% of 16

Let x be the number:

170 % of 16 = x

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

(170/100)16 = x

1.7(16)  = x

x = 27.2

Thus, the number is 27.2, and the number 9.411 is 170% of 16 after applying the concept of the percentage.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

The radiology lab ordered 15 jackets for the staff at a cost of $35.00 each. What is the cost of the order?​

Answers

35 is the amount of money per jacket. 15x$35 = $525 total

What’s the formula for the statement of retained earnings and can someone please tell me????? I have an accounting test next week and I need helpppp asapppppppp

Answers

Answer:

Current Retained Earnings + Profit/Loss – Dividends = Retained Earnings

Step-by-step explanation:

Let’s say your company went into business on January 3, 2022. Your retained earnings account on January 3, 2022, will read $0 because you have no earnings to retain.

Now let’s say that in January you earn $5,000 in net income (from your income statement) and don’t issue any dividends.

That means that on February 3, your company’s retained earnings will be $5,000:

Current retained earnings + Net income - Dividends = Retained earnings

$0 + $5,000 - $0 = $5,000

This makes sense: you earned $5,000 in profits and retained all of them.

70 PTS!
What type of special triangles are created when an equilateral triangle has a perpendicular bisector applied? *

Answers

Answer:

Two 30°-60°-90° triangles

Explanation:

An equilateral triangle always has three 60° angles. If you were to cut it in half with a perpendicular bisector, two 90° angles would be made with the perpendicular lines, two 30° angles would be made from the corner that the bisector cut in half, and two of the three 60° degree angles would have remained untouched.  

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Hi!

---------------------------------------------------------------------------------------------

Area of a triangle = [tex](base * height)/2[/tex]

Area of a square = [tex](side)^2[/tex]

---------------------------------------------------------------------------------------------

QUESTION 1: Determine the area of the triangular face.

[tex]\frac{bh}{2}[/tex]

[tex]32(20)/2[/tex]

[tex]640/2[/tex]

[tex]320[/tex]

The triangular face is 320 square feet.

---------------------------------------------------------------------------------------------

QUESTION 2: Determine the surface area of the entire figure.

[tex]a^2[/tex]

[tex]32^2[/tex]

[tex]1024[/tex]

Now, add the 4 triangular faces to the area of the square face.

[tex]1024+320(4)[/tex]

[tex]1024+1280[/tex]

[tex]2304[/tex]

The total surface area is 1204 square feet.

---------------------------------------------------------------------------------------------

For more information, see:

https://brainly.com/question/4637102

https://brainly.com/question/22971514

The ratio of dogs to cats at the pet store is 1:2. There are 15 dogs.How many cats are there

Answers

Answer:

x=30and y=15..

Step-by-step explanation:

let,1x&2y

and, x=15+y

now,1x=2y

or, 1(15+y)=2y

or, 15+y=2y

or, 15=2y-y

or, y=15

now,putting the value of y

x=15+y

x=15+15

x=30

hope it helps tou

Graph the solution to this inequality on the number line. x+3<−6

Answers

Answer:

Solution graphed. Please check image.

Step-by-step explanation:

Let's simplify.

x + 3 < -6=> x < -6 - 3=> x < -9

The solution is graphed below.

Hoped this helped!

HELPPPPPPPP MEEEEEEEEEEEEEEEEEEEEE

Answers

2x2-4 and do it you got it I’m a real person

What is the slope and Y intercept of the equation Y=9

Answers

Answer:

y-intercept = 9

slope = 0

Step-by-step explanation:

y = 9 is a horizontal line that passes through the point (0, 9).

The y-intercept is 9.

The slope is 0.

[tex]\huge\fbox{Hi~there!}[/tex]

We are given the equation of the line: [tex]\rm{y=9}[/tex] and asked to determine its slope and y-intercept.

The equation of this line is written in slope-intercept form (y=mx+b)

where b is the y-intercept of the line, and m is the slope.

Now, the big question is:

What is the slope and y-intercept of the line?

We need to take a look at the equation to find out.

As we can see, the slope is 0, and the y-intercept is 9.

I hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex] here to help

what is the answer too x^2 + 2x

Answers

Answer:

x=0  and x=−2

Step-by-step explanation:

Explanation:

You can factor x2+2x=0

as: x(x2)=0

Now, we can solve each term for 0:x=0 - no other work needed,

and

x+2=0

x+2−2=0−2

x+0−2x=−2

Evaluate the expression shown below and write your answer as a fraction in simplest form. Please thank you

Answers

Answer:

[tex]-3\frac{9}{10}[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{1}{6} }{\frac{1}{9}}-\frac{12}{5}[/tex]

[tex]=-\frac{3}{2} -\frac{12}{5}[/tex]

[tex]=-\frac{39}{10}=-3\frac{9}{10}[/tex]

What is -15xy + 25x factored

Answers

[tex] \Huge \tt \boxed{\boxed{ - 5x \times (3y-5)}}[/tex]

[tex]\\\\[/tex]

[tex] \Large \boxed{ \sf {Question \: given↬\: -15xy + 25x \: factored }}\\ \\ \Large \boxed{ \sf{ Lets \: solve:- }}\\ \\\Large\boxed{\sf{⇒-15xy +25x} }\\ \\ \Large \boxed{ \sf{⇒taking \: -5x \: common \: nd \: rest \: in \: multiplaction}} \\ \\ \Large \boxed{\sf{⇒-5x(3y-5)}} \\ \\ \\ [/tex]

[tex]\large\color{cyan}{\boxed{\frak{࿈\:Mr_Toxic}}}[/tex]

Since -5x is common to both factors, hence the factored form is;

-5x(3y - 5)

Factoring equation

Given the exprssion -15xy + 25x

Fing the factors of each term

-15xy = -5 * 3 * x * y

25x = 5 * 5 * x

Since -5x is common to both factors, hence the factored form is;

-5x(3y - 5)

Learn more on factored form here: https://brainly.com/question/43919

What is the equation of the line that passes through the points (6,-9 )and (3,-8)

Answers

Answer:

y = (-1/3)x - 7

or

y + 8 = (-1/3)(x - 3)

Step-by-step explanation:

First, find the slope (rise over run):

Δy / Δx = (-8 + 9) / (3 - 6) = 1 / -3 = -1/3

Then use one of the given points to put it into point-slope form:

y + 8 = (-1/3)(x - 3)

or optionally in slope-intercept form:

y = (-1/3)x - 7

Take-away Frequency Angle
Pizza3
Curry11
Fish & chips9
Kebab2
Other 15

Work out the size of each angle to draw a pie chart.

Answers

Answer:

Step-by-step explanation:

The numbers add up to 40, and the circle has 360 degrees. 360 / 40 = 9, so each value of 1 will equal 9 degrees.

Pizza 3 * 9 = 27 degrees

Curry 11 * 9 = 99 degrees

F&C 9 * 9 = 81 degrees

Kebab 2 * 9 = 18 degrees

Other 15 * 9 = 135 degrees

pleasee helppp! :(((​

Answers

You already did most of the work- the answer is 'Koala'.

Have a good day. :)

Answer:

little brown bats,sleep for an average of 20 hours a day hope it's help

¿Cuál es la fecha de la Nochebuena?

Answers

Answer:

la nochebuena es el 24 de diciembre

Step-by-step explanation:

24 de diciembre (December 24)

What is the value of f(-6) if f(x) = ™X - 4?

Answers

Answer:

f(-6) = -10

Step-by-step explanation:

Hi there!

f(x) = x - 4

Replace x with -6

f(-6) = -6 - 4

f(-6) = -10

Therefore, f(-6) = -10.

I hope this helps!

Boxes of bouncy balls with 500 balls are sold to stores for $75.00. One store sells them to customers for 35 cents each. What is the difference between the unit buying price and the
selling price?

Answers

Answer:

.20

Step-by-step explanation:

75/500 = .15

35-15=20

please help
10x5+4²+(5+30=10)​

Answers

Honestly I’m not sure man

a. Steve received the following test scores: 78, 83, and 79. Find Steve’s test average.
b. Six packages had weights of 2 lb, 5 lb, 7 lb, 5 lb, 9 lb, and 8 lb. What’s the average weight of the packages?

Answers

Answer:

For A: 80 For B: 6lb

Step-by-step explanation:

(78+83+79)/3=80

(2+5+7+5+9+8)/6

it takes mike 30 minutes to get to work, and 30 minutes to get back
how long does it take him all together

Answers

Answer: one hour aka 1hr

Step-by-step explanation:

Answer:

It's 1h

Step-by-step explanation:

get to work - 30min

get back - 30min

If 20 cookies use 16 ounces of nuts, how many ounces of nuts are in 1 cookie?

Answers

Answer:

0.8 ounces of nuts in a cookie

Step-by-step explanation:

to find how many ounces of nuts in 1 cookie just divide the value of nuts by the number of cookies so 16/20=0.8

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