Factor completely x^2 - 81

Answers

Answer 1
Use the sum-product pattern

2

8
1
x
2

81
x2−81

2
+
9


9


8
1

Answer 2

Factor [tex]x^2-81[/tex] by using the difference of two squares.

[tex]x^2-y^2=(x+y)(x-y)[/tex]

Our x is x

Our y is 9 (As y² = 81, therefore a single y would be 9)

[tex](x+9)(x-9)[/tex]

Thus, the final answer is (x+9)(x-9)


Related Questions

Help! It's geometry. :) 35 points.

Answers

Answer:

g = 21

h = 8

Step-by-step explanation:

3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)

Simplify to get g = 21.

Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)

Answer:g=21 h = 8

Step-by-step explanation:

That's a rhombus supposedly so the opposite angles are congruent.

This means 9h-4=3g+5 Also the opposite sides of a rhombus add up to 180 degrees, so 3g+5+6g-14=180

9g=,189 g = 21

now plug this into the first equation

9h-4=3(21)+5

9h-4=63+5

9h=72

h=8

State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality

Answers

Answer:

Substitution property of equality

Step-by-step explanation:

Given

[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]

Then

[tex]4(2y + 1) + 9 = 15[/tex]

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If [tex]a = b[/tex] then [tex]b = a[/tex]

In other words, both can replace one another.

So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]

So:

[tex]4x + 9 = 15[/tex]  becomes

[tex]4(2y + 1) + 9 = 15[/tex]

Hence, it is substitution property of equality

11. What's one way we can check our answer to 2
X10 = 20?
A. 2 = 10 = 20
B. 20 x 10 = 2
C. 20 = 10 = 2

Answers

Answer:

20 ÷ 10 = 2

or

20 ÷ 2 = 10

Step-by-step explanation:

multiplication is the opposite of division

Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?

Answers

Answer:

Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.

Step-by-step explanation:

In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made.  Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation  6c - 2.4.  Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8.  We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8.  Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2  

−8/9 ⋅ 5/6
What is the product in simplest form?


Fractions btw

Answers

the answer 56 it’s already put in simplest form

please help me with the attachment below, will give brainliest !!!!!!

Answers

It is 26/100 = 0.26 so I hope this helped
Hello,

I think the answer is 26/100.
Hope this helps!!
Brainliest?

Melissa wants to put a bird bath in her yard at point (x, y), and wants it to be is inside the enclosed shaded area shown in the graph.

First, she checks that x greater or equal than negative 3 space a n d space y greater or equal than negative 2. What linear inequality must she check to conclude that (x, y) is inside the triangle?

Answers

Jkkm nhuduehdued endures uedhdjend uehduehd neurheudh hfduhf jedhdje jehfjdh

What is the sum of 100 + 578.00

Answers

Answer:

678.00

Step-by-step explanation:

hope this helps!

Answer:

678

Step-by-step explanation:

Which phrase could the expression x-4 represent?
a number less than 4
the difference of a number and 4
the sum of a number and 4
four less a number

Answers

The third one the sum of a number and 4

Explain how could use 8 + 8 to find the sum

Answers

Answer:

its 16

Step-by-step explanation:

In DEF, C is the centroid.
If DM = 9, find DC and CM

Answers

The answer is a

Hope this helpedu


Please please due in ten minutes !!!!!!!

Answers

Answer: Number 9 is 200, number 10 is 40%, number 11 is 80%

Step-by-step explanation:

HELP I NEED HELP WILL GIVE BRAINLYEST LOOK ILL GIVE YOU SO MANY POINTS

Answers

Answer:

the answer is -1/2

Step-by-step explanation:

I think it’s b..........

HELPPP ME PLEASE I NEEDA HELP
p.s if u see this please answer look at the picture

Answers

Answer:

-5+2

Step-by-step explanation:

Answer:

I would say 6 cm too, also can anyone help me on my math? its powers and exponents

Find the matrix A of the reflection in the line L in R2 that consists of all scalar multiples of the vector.

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : 2/13    6/13

               6/13    3/13

Step-by-step explanation:

Firstly we will calculate the orthogonal basis L in R^2

attached below is the detailed solution

also assuming β to be the standard ordered basis

hence the matrix A of the reflection in the Line L in R2 =

2/13    6/13

6/13    3/13

The matrix A of the reflection in line L is given by  [tex]\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}[/tex]  and this can be determined by first evaluating the value of [tex]\rm R^2[/tex] by using the given data.

The orthogonal basis L in [tex]\rm R^2[/tex] is given by:

[tex]r = [u_1,u_2] =\left[\dfrac{1}{\sqrt{39} }\binom{6}{3}, \dfrac{1}{\sqrt{39} }\binom{3}{-6}\right][/tex]

[tex]\rm T(u_1)=u_1[/tex]

[tex]\rm T(u_2)=0[/tex]

[tex]\rm [T]_r = \begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}[/tex]

[tex]\rm Q = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}[/tex]

Now, matrix A is given by the formula:

[tex]\rm A=Q[T]_rQ^{-1}[/tex]

Now, substitute the value of known terms in the above equation.

[tex]\rm A = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}\dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}[/tex]

Simplify the above expression.

[tex]\rm A = \dfrac{1}{{39} }\begin{bmatrix}6 & 18\\ 18 & 9\end{bmatrix}[/tex]

[tex]\rm A = \dfrac{3}{{39} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}[/tex]

[tex]\rm A = \dfrac{1}{{13} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}[/tex]

Multiply by 1/13 in the matrix.

[tex]\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}[/tex]

For more information, refer to the link given below:

https://brainly.com/question/16850761

Need help Pronto! Will give braintliest.

Answers

Answer:

the answer is 45 I believe because it is the same exact as j

HELP!!!!!!! The area of the rectangle shown below is 24 square centimeters. What is the area, in square centimeters, of the shaded triangle?

Answers

Answer:

is it multiple choice?

Step-by-step explanation:

The area of the rectangle given is 24 square centimeters. Hence, The area of the shaded triangle will be 12 square centimeters.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of the rectangle given is 24 square centimeters.

The area of the rectangle = length × Width

                            24 = a x b

                         

Also,  a = 24/b

The area of the shaded region is equal to the area of the triangle.

So, The area of the triangle = 1/2 x b x h

                                            = 1/2 x (a) x b

                                             = 1/2 x 24

                                             = 12

Hence, The area of the shaded triangle will be 12 square centimeters.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

4. They were 30 problems on the test, Nancy got 20% wrong. How many
problems did Nancy get wrong?

Answers

Answer:

6

Step-by-step explanation:

help on math please.
don´t do any joke answers or anything that not related to the problem only answer if you actually know

Answers

Answer:  When t = 4.25    R(t) = D(t)

This tells you that at 4.25 seconds into their flights, both the Rocket and the Drone were at a height of 20 feet.

Step-by-step explanation: The point where the two graphed lines cross is where the values are equal.

The Drone has been hovering at 20 feet between 2 and 5 seconds. The Rocket passed through that height for a brief (millisecond) time as it was falling back to the ground.

Without grid lines it is my best estimation (using a ruler to create a verticla line from the intersection of the lines to the time scale) that t = 4.25. It is between 4 and 4.5 seconds.

How do I solve this ?

Answers

Answer:

See attachment :D

Step-by-step explanation:

y = 2/3x + 2

This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.

The line intersects with points (-3,0) and (0,2).

Hope this is helpful ^^ Good luck with your test :D

Can a trinomial with a leading coefficient not equal to 1 have two identical factors If so , give an example .

Answers

Answer:

COEFFICENT

Step-by-step explanation:

(-52 + x – 5) – (–70² – 7x – 3)

Answers

Answer:

7x+4846

Step-by-step explanation:

the answer is 7x+4846

You have $15 to spend in a candy store. If Kitkat cost $0.75 each and mini Snickers are $0.25 each.
1) What is the maximum number of mini Snickers you could buy?
2) What is the maximum number of Kitkats you could buy?
3) How do these maximums relate to the x and y-intercepts of the standard form linear equation that could be used to model this situation?

Answers

Answer:

1. 60 snickers

2. 20 KitKats

i cannot anwser 3 cause its not showing up somehow. Sorry.

Step-by-step explanation:

Answer:

1) 60 Mini Snickers

2) 20 Kitkats

3) We know that the x intercept is the value of x when y is 0. We also know that the Y intercept is the value of y when x is 0. Both maximums can represent either a y or x intercept because they are the value when you don't have any money left or $0.

Step-by-step explanation:

1) 15 ÷ 0.25= 60

2) 15 ÷ 0.75= 20

PLZ answer iF. U KNOW THE ANSWER

the town wants to build a library five blocks away from the park and four blocks away from the school

(-1,6)
(-5,2)
(-1,-2)
(3,2)​

Answers

Answer:

(-1,-2)

Step-by-step explanation:

Since the park is at (4,-2), going to the left 5 units will put us at x = -1

Since the school is at (-1,2) going down 4 units will put us at y = -2

(-1,-2)

. Jaime's hourly wage is $16 and her net pay is 65% of her earnings. Jaime spends about $1,300 on her monthly
expenses. If Jaime works 40 hours per week and has no other sources of income, what is her total monthly cash
inflow? (Hint: Assume that there are 4 pay periods per month.)

Answers

Answer:

Monthly income is $1664, positive balance each month is $364

Step-by-step explanation:

Hourly wage = $16Net pay = 65%Monthly spending = $1300Work hours = 40 hours per week = 4*40 = 160 hours per month

Monthly earning:

160*16 = 2560

Monthly net payment:

$2560*0.65 = $1664

Remaining balance per month after expenses:

$1664 - $1300 = $364

Amy, Dan, and mike are competing in a cooking competition. They all used different amounts of milk from a container holding 6 gallons of milk. Amy used 13

Answers

Answer:

2 1/6 containers of milk, if that's what you're asking.

Step-by-step explanation:

HELP!! I WILL GIVE FREE BRAINLIEST TO THE FIRST CORRECT ANWSER!

Answers

Answer:

Xbox $544.00 sales tax: 38.08 after tax: 582.08

Airpods $125:00 sales tax: 8.75 after tax: 133.75

Answer:

Xbox before tax: $544.00

Sales Tax: 38.08

Total Price: $582.08

Airpods before tax: $125.00

Sales Tax: $8.75

Total Price: $133.75

Step-by-step explanation:

take .07 and multiply it by 544.00 and you get 38.08. Then add 38.08 and you get 582.08.

Then take .07 and multiply it by 125.00 and you get 8.75. Then add 8.75 to 125.00 and you get 133.75.

The midpoint of AB is M(7, -2). If the coordinates of A are (8, 3), what are the
coordinates of B?

Answers

(6,-7)

multiply Midpoint by 2

A plane set off to Portland at a speed of 232 mph. On the
return flight of 12 hours, the plane cruised at 204 mph.
How many hours long was the flight to Portland?

Answers

Answer:

The flight to Portland takes 10.6 hours.

Step-by-step explanation:

To find the time of flight to Portland we need to calculate the distance traveled by using the equation:

[tex] x = v*t [/tex]

Where:

v: is the speed = 204 mph (return flight)

t: is the time = 12 h (return flight)

[tex] x = v*t = 204 mi/h*12 h = 2448 mi [/tex]

Now, we can find the time of flight to Portland using v = 232 mph:

[tex]t = \frac{x}{v} = \frac{2448 mi}{232 mi/h} = 10.6 h[/tex]

Therefore, the flight to Portland takes 10.6 hours.

I hope it helps you!                      

WILL GIVE BRAINLIEST



Suppose you invest $1200 at an annual interest rate of 2.3% compound continuously. How much will you
have in the account after 4 years?

Answers

Answer:

You will have $1314.27

Step-by-step explanation:

A=1200(1+2.3/100)^4

A=1200(1.0952)

A=$1314.27

Other Questions
Which of the following is a way that western expansion impacted the Plains Indians? The graph shows a function f(x). Determine the following values. F^-1 (4)= F^-1 (-5)=F^-1 (0)= 1. Traditions area. consistentb. a way of doing thingsC. roundd. none of these Gabriella is moving toward her at 8m/sGabriella is moving away from her at 4 m/sGabriella is moving toward her at 4 m/sGabriella is not moving I HAVE LOVED U SINCE WE WERE 18 which is true about Asoka's connection to Buddhism? aHe was key to spreading it across India by issuing the Edicts of Asoka. bHe created a popular sect within the religion, called Sikhism. cHe persecuted monks and nuns, causing them to flee. dHe favored Hinduism over Buddhism, causing division within the empire. What geographical significance do the Pecos River and the Rio Grande have in the Mountains and Basins? Which of the following was NOT a common ideology of Progressives in regardsto the regulation of wealth?OA. Regulation of government favoritismOB. Fairer distribution of wealthOC. Return to gold standard currencyOD. Control over corporations and monopolies What are the factors affecting our health? What are the elements of a Noh play?Help me quickly!!! Serena and Stacey are professional hairdressers who work at two different beauty salons in the city. Serena works for 8 hours and earns $112 Stacey is paid $75 for 5 hours of work. Who makes more money per hour? Based on this cartoon, what problem did the United States face in Asia by 1953? what the square root of 54 What type of particles would be in a sample of carbon dioxide? Sally buys gloves that cost $10.00. She lives in Michigan and therefore, at the register, she must pay $10.60 Why was the Battle of Gonzales significant?Sam Houston was named commander of the Texas regular armyTexas declared its independenceIt was the first battle of the Texas RevolutionTexas won its independence Someone Please Help ME! A professor wants to study the effectiveness of a newstudy tool for a course. There are 150 studentsregistered for the course.The professor assigns each student a number from 1 to150 and uses a random number generator to assign thefirst 75 students selected to use the new study tool. Theremaining 75 subjects are assigned to use the previousstudy tool.What type of experiment design is this? Lindas container of cranberry juice holds 200 millimeters. Harrys container holds 7/8 as much juice. How many millimeters of cranberry juice do two containers hold? How do you take a picture