What is the factored form of the expression x2 − 81

Answers

Answer 1

Answer:

(x + 9)(x - 9)

Step-by-step explanation:

Apply the Difference of Two Squares formula: x² - y² = (x + y)(x - y)

Rewrite 81 at 9²

⇒ x² - 81 = x² - 9² = (x + 9)(x - 9)

Answer 2

Answer:

[tex]\left(x+9\right)\left(x-9\right)[/tex]

Step-by-step explanation:

[tex]x^2 - 81[/tex]

factor 81 as 9²

[tex]x^2-9^2[/tex]

using formula: a² -b² = (a+b)(a-b)

[tex]\left(x+9\right)\left(x-9\right)[/tex]


Related Questions

Help, I don’t understand

Answers

Answer: -1

Step-by-step explanation: f(x) is another way of saying y. So when y is 3, according to the table, x is -1

Convert the fraction 4/5 to a decimal.
SHOW WORKING.

Answers

Answer:

The answer is 0.8

Step-by-step explanation:

[tex] \: \: \: \: \: \: 0. 8\\ 5 \sqrt{40} \\ - 40 \\ 0[/tex]

Thus, The answer is 0.8

-TheUnknownScientist 72

If d = 2, what is the value of ?
A.
1
B.

C.
4
D.
0

Answers

Answer:

2/4=0.5

A = 0.5

Step-by-step explanation:

What is the value of this expression?
2.3· 23.623

Answers

Answer: 54.3329

Step-by-step explanation:

Determine domain of the graph

Answers

Answer: -7 less than or equal to x less than or equal to 5

Step-by-step explanation:

It start at -7 and end at 5 which is the x axis

A sample of college students were surveyed about whether they lived on or off campus. The results are displayed below.


Which of the following statements is false?

The largest percentage of students living on campus is in the 1st-year group.
As the number of years in college increases, the percentage of students living on campus increases.
As the number of years in college increases, the percentage of students living off campus increases.
The difference between percent of students living on or off campus decreases as number of years of college increases.

Answers

Answer:

A.

The largest percentage of students living on campus is in the 1st-year group

took the edge 2022

The False statement among all the given statement is b).

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Consider statement one by one :

a) The largest percentage of students living on campus is in the 1st-year     group - True (as seen from the graph the on campus bar for 1st year is highest.)

b) As the number of years in college increases, the percentage of students living on campus increases - False ( students living on campus decreases by years passing )

c) As the number of years in college increases, the percentage of students living off campus increases - True

d) The difference between percent of students living on or off campus decreases as number of years of college increases - True

Therefore, the False statement among all the given statement is b).

Read more about Graphs here :

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Bear Valley already had 3 inches of snowcover when a snowstorm moved in. The storm is increasing the amount of snowcover by 1 inch per hour.
Write an equation that shows the relationship between the number of hours it has been snowing, x, and the total snowcover in inches, y.

Answers

Answer: x + 3

Step-by-step explanation:

Can someone please help answer this question :)

Answers

I hope this helps you :)

Answer:

4 - [tex]\sqrt{6}[/tex]

Step-by-step explanation:

Rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator.

the conjugate of 4 + [tex]\sqrt{6}[/tex] is 4 - [tex]\sqrt{6}[/tex] , then

= [tex]\frac{10(4-\sqrt{6}) }{(4+\sqrt{6})(4-\sqrt{6}) }[/tex] ← expand denominator using FOIL

= [tex]\frac{40-10\sqrt{6} }{16-6}[/tex]

= [tex]\frac{40-10\sqrt{6} }{10}[/tex] ( divide terms on numerator/ denominator by 10 )

= 4 - [tex]\sqrt{6}[/tex]

Can someone help me please

Answers

Step-by-step explanation:

the general equation for a line is usually

y = ax + b

a is the slope (the inclination) of the line indicating how flat or steep (and up or down) the line goes. it is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

and b is the y-intercept, the y value for x=0, the point, where the line intercepts the y-axis.

the origin is the point (0, 0).

that gives us the y-intercept (b) right away, as this is therefore clearly the point, where the line intercepts the y-axis. so, b = 0.

and going from (0, 0) to (-2, 10) we see

x changes by -2 (from 0 to -2).

y changes by +10 (from 0 to 10).

so, the slope is +10/-2 = -5.

and the line equation is

y = -5x

[tex]\huge \text{Hello there! :)}[/tex]

Answer:

[tex]y=-5x[/tex]

Step-by-step explanation:

Given that the equation of a line passes through the origin and the point (-2,10), we can get the equation of the line below.

The slope-intercept form of the equation of the line is given as;

[tex]y=mx+b[/tex]

where m = slope and y = intercept

The formula for the slope is given as

[tex]\frac{y^{2-yx^{1} } }{x^{2-x^{1} }}[/tex]

The given points are the origin are (0,0) and (-2, 10)

[tex]m=\frac{10~-~0}{-2~-0} =\frac{10}{-2} =-5[/tex]

Now use the point-slope formula to solve for the equation of the line.

[tex](y-y^{1})=m(x-x^{1})[/tex]

For this situation, we are given the slope of -5 and (-2,10)

[tex]y-10=-5(x-(-2))[/tex]

[tex]y-10=5x-10[/tex]

[tex]Y+5x=+10-10[/tex]

[tex]y+5x=0[/tex]

[tex]y=-5x[/tex]

Therefore, the Answer is [tex]y=-5x[/tex]



[tex]\huge \text{Thanks for useing brainly!}[/tex]

[tex]\huge \text{Hope this helps!}[/tex]

work out the missing numbers:
a) 2.6 x ? = 2.86
b) ? x 1.2 = 1.8

Will make brainliest

Answers

Answer:

a) [tex]\sf x = 1.1[/tex]    b) [tex]\sf x = 1.5[/tex]

solving steps:

a)

[tex]\sf 2.6 * x = 2.86[/tex]

[tex]\sf x = \frac{2.86}{2.6}[/tex]

[tex]\sf x = 1.1[/tex]

b)

[tex]\sf x * 1.2 = 1.8[/tex]

[tex]\sf x = \frac{1.8}{1.2}[/tex]

[tex]\sf x = 1.5[/tex]

Pizzas are eaten at a party each pizza is cut into 8 slices 42 slices are taken write the proportion of the pizza as

Answers

Answer:

uh uhmmmm

Step-by-step explanation:

Suppose that the countries of Brazil, Argentina, Ecuador, and Venezuela have interdependent economies. The following table shows the imports and exports between each of these countries. All prices are given in millions of equivalent US dollars. Country of Origin Exporting to Amount ($ 2007-13-04-00-00_files/i0160000. Jpg1,000,000) Brazil Argentina 4,691 Brazil Ecuador 4,791 Brazil Venezuela 1,526 Argentina Brazil 1,881 Argentina Ecuador 1,971 Argentina Venezuela 2,153 Ecuador Brazil 3,106 Ecuador Argentina 3,672 Ecuador Venezuela 2,018 Venezuela Brazil 4,535 Venezuela Argentina 1,577 Venezuela Ecuador 1,871 If these four countries trade only within this group, what is the difference between the highest balance of trade and the lowest balance of trade? a. $6,221,000,000 b. $5,003,000,000 c. $3,772,000,000 d. $2,123,000,000.

Answers

For trade between countries of Brazil, Argentina, Ecuador, and Venezuela, the difference of the highest  and lowest balance of trade is $500,300,000.

What is the data table?

Table is a way to represent the data of the two or more variable. To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.

Suppose that the countries of Brazil, Argentina, Ecuador, and Venezuela have interdependent economies.

The following table shows the imports and exports between each of these countries.

All prices given in millions of equivalent US dollars.

The trade of all the countries can be calculated as,

Brazil Argentina 4,691, Brazil Ecuador 4,791, Brazil Venezuela 1,526

[tex]B=4,691 +4,791 +1,526 =11008\rm millon[/tex]

Argentina Brazil 1,881, Argentina Ecuador 1,971, Argentina Venezuela 2,153

[tex]A=1,881+1,971+2,153 \\A=6005\rm millon[/tex]

Ecuador Brazil 3,106 Ecuador Argentina 3,672 Ecuador Venezuela 2,018

[tex]E=3,106 +3,672 +2,018\\E=8796\rm million[/tex]

Venezuela Brazil 4,535 Venezuela Argentina 1,577 Venezuela Ecuador 1,871

[tex]V=4,535 +1,577 +1,871=7983\rm million[/tex]

The highest trade is for Brazil and lowest is for Argentina. The difference between two is,

[tex]d=11008-6005\\d=5003\rm million[/tex]

The difference between the highest balance of trade and the lowest balance of trade is $500,300,000.

Learn more about the data table here;

https://brainly.com/question/15602982

Answer:

A

Step-by-step explanation:

trust me my guy/girl

15. Find M /_ B.

C
(5x + 18)

B
(8x + 7)

D
(10x + 13)

A
(14x - 11)

Answers

Answer:

  B = 79°

Step-by-step explanation:

The sum of interior angles of a quadrilateral is 360°.

  (14x -11)° +(8x +7)° +(5x +18)° +(10x +13)° = 360°

  37x +27 = 360 . . . . . . divide by °, collect terms

  37x = 333 . . . . . . . . subtract 27

  x = 9 . . . . . . . . . . . divide by 37

The measure of angle B is ...

  B = (8x +7)° = ((8)(9) +7)°

  B = 79°

_____

Additional comment

The other angles are ...

  A = 115°, C = 63°, D = 103°

What is the measure of X?
108°
108°
2x
2x
72°
144
36
360°

Answers

2x=180-108. So 2x=72. x=36

The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle? One-half StartFraction StartRoot 2 EndRoot Over 2 EndFraction StartFraction StartRoot 3 EndRoot OVer 2 EndFraction

Answers

Answer:

  (a)  1/2

Step-by-step explanation:

The coordinates of the point of intersection of the terminal side of angle α with the unit circle are ...

  (x, y) = (cos(α), sin(α))

When α = 60°, the x-coordinate of the terminal point is cos(60°) = 1/2.

help i give 5 stars and a crown​

Answers

Answer:

See below.

Step-by-step explanation:

1a)

Angles:

48, 90, 90, a.

Add:

48 + 90= 138 + 90= 228

Subtract:

360 - 228= 132.

Angle a: 132.

1b)

To get angle h above 180°, We need to add h + 164:

h + 164= 110 + 164= 274.

h = 110.

This is how to get h over 180°.

what is 2+2 please I need help I'm confused by it ​

Answers

Answer:

4

Step-by-step explanation:

2+2 you can take it simply as

1*2 + 1*2

or 2^2

or the (square root of 4)^2

all of these ways you get 4

Answer:

2+2=4.

How are you confused!

find the value for x in the following image

Answers

To find :-

[tex] \\ [/tex]

value of x.

[tex] \\ [/tex]

Solution:

[tex] \\ [/tex]

⇢ x + 70° = 110°

Reason {

VOC (Vertically opposite angles).

What is VOC?

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines}

[tex] \\ [/tex]

⇢ x = 110° - 70°

[tex] \\ [/tex]

⇢ x = 40°

[tex] \\ [/tex]

Vertication:

[tex] \\ [/tex]

⇢ x + 70° = 110°

put value of x

[tex] \\ [/tex]

⇢ (40°) + 70° = 110°

[tex] \\ [/tex]

⇢ 110 ° = 110°

[tex] \\ [/tex]

LHS = RHS

hence it is verified that value of x is 40°

Answer:

x = 40°

Step-by-step explanation:

In the question we arw given with three angles that are z

Angle 1 =

Angle 2 = 70°

Angle 3 = 110°

( Angle 1 , Angle 2 or Angle 3 aren't given in Question , we are just giving names for given angle . So that there's ease on explanation )

And we have asked to find th value of angle 1 i.e. x .

Solution : -

As we can see in the question that ,

Angle 1 + Angle 2 = Angle 3 ( Vertically Opposite Angles )

Vertically Opposite Angles : -

When two lines intersect each other then the two angles formed by them at a specific point are equal .

[tex] \longmapsto x° + 70° = 110°[/tex]

Subtracting 70 from both sides :

[tex]\longmapsto x° + \cancel{70° }- \cancel{70° }= 110° - 70°[/tex]

On further calculation :

[tex] \longmapsto \purple{ \boxed{ \mathfrak{ x° = 40 {°} }}}[/tex]

Therefore , value of x is 40° .

Verification : -

We are verifying our answer by substituting value of x . So ,

x + 70° = 110°

40° + 70° = 110°

110° = 110°

L.H.S = R.H.S

Hence , Verified .

Therefore, our value for x is correct

Provide the missing reasons for the proof.

Given: AB = CB
EB DB
Prove: ABC ~ EBD

Answers

Answer:

Number 1 is Given.

Number 2 is the corresponding parts theorem

AB and CB are similar

also EB and DB

Number 3 is SSA similarly theorem

Step-by-step explanation:

The sum of two numbers is 2715. The bigger number is 4 times as much as the smaller number. What is twice of the smaller number?

Answers

Answer:

1086

Step-by-step explanation:

let 4x=bigger number x=smaller number

4x+x=2715

5x=2715

5x/5=2715/5

x=543 (smaller number)

4x=4(543)=2172 (bigger number)

so

2172+543=2715

then

What is TWICE of the smaller number?

543*2=1086

Jackie practices her ballet every day,even on the weekends,for half an hour.how many hours does she practice in a week?

Answers

3 and a half hours
Half and hour for 7 days is 3.5 hours

I need help on 25 please help none of my family members understand this part of math I have no older siblings so I am on my own when it comes to math this must be done this evening. Please I beg you someone please help me I’m desperate. Also please explain how you got to the answer .

Answers

Answer:

A=2

Step-by-step explanation:

6a+18a=6a+10a+16 (cancel equal terms)

18a=10a+16 (move variable to left)

18a-100a=16 (Collect like terms)

8a=16 (Divide both sides)

Hope This Helps :)

A = 2

Answer:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(6a • (a + 3)) - (2a • (3a + 5) + 16) = 0

STEP

2

:

Equation at the end of step 2

6a • (a + 3) - (6a2 + 10a + 16) = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

8a - 16 = 8 • (a - 2)

Equation at the end of step

4

:

8 • (a - 2) = 0

STEP

5

:

Equations which are never true:

5.1 Solve : 8 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2 Solve : a-2 = 0

Add 2 to both sides of the equation :

a = 2

One solution was found :

a = 2

(07.01 MC)

Look at the figure below:

An image of a right triangle is shown with an angle labeled y.

If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°? (6 points)

Answers

Step-by-step explanation:

since I don't see a figure here, I have to use only the written information.

we need to remember :

tan(angle) = sin(angle) / cos(angle)

so, we have here

a/b = a/6 / cos(y) = a/(6×cos(y))

a×6×cos(y) = a×b

cos(y) = a×b / (a×6) = b/6

Does the system of equations have no solution, one solution, or an infinite number of solutions? −5x+y=−1−5x+y=10

Answers

Answer:

5x-y=9, y=5x+19 write both equations in same formy=5x-9 for the first and havey=5x+19 for the second. These are two parallel lines with different intercepts. They do not intersect or coincide. No solutions

and y=6x+14, 12x-2y=-28 write both equations in same formy=6x+142y=12x+28 or y=6x+14. They are the same line. The solution is all of the points on the line.

Step-by-step explanation:

I hope it will help you have a great day bye and Mark brainlist if the answer is correct I am sorry if the answer is worng

[tex]kai6417[/tex]

#carry on learning

Answer:

Step-by-step explanation:

Are these the two equations?

−5x+y=−1

−5x+y=10

=====

Put them into slope-intercept form of y = mx + b

−5x+y=−1

y = 5x - 1

−5x+y=10

y = 5x + 10

Both have a slope of 5, so they will not intersect.  This means there are no solutions.

See attached graph.

x – y = 5
3x – 2y = 12
Please help will give 20 points

Answers

Answer:

[tex]{x,y} = {2,-3}[/tex]

Step-by-step explanation:

[tex]x - y = 5 \\\\[2] 3x - 2y = 12[/tex]    <----------- Linear equations given

Graphic Representation of the Equations: PICTURE

[tex]y + x = 5 \\-2y + 3x = 12[/tex]
Solve by Substitution :

// Solve equation [1] for the variable  [tex]x[/tex]

[tex][1] x = y + 5[/tex]

// Plug this in for variable  [tex]x[/tex]  in equation[tex][2][/tex]

[tex][2] 3*(y +5) - 2y = 12 \\ [2] y = -3[/tex]

// Solve equation [tex][2][/tex] for the variable [tex]y[/tex]

[tex][2] y = - 3[/tex]

// By now we know this much :

[tex]x = y+5 \\ y = -3[/tex]

// Use the  y  value to solve for  [tex]x[/tex]

[tex]x = (-3)+5 = 2[/tex]

Solution :

[tex]{x,y} = {2,-3}[/tex]

763 Divided by 37 i need help be for 7:50 at feb 9

Answers

Answer:

4.4

Step-by-step explanation:

Answer:

20.621

Step-by-step explanation:

I used a calculator

what is the median and mode of 28,34,34,50,54 answer=

Answers

Answer:

Mean (Average):40

Median (Middle): 34

Mode (Most Common):34

Step-by-step explanation:

Is this all the numbers

Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid a
total of $312 in admission fees.
(a) Write and solve a system of equations that model the problem. Show all your work
(b) How many adults went to the zoo?
(c) How many children went to the zoo?
Answer:

Answers

Hey there mate !

Check my attached image for answer.

Have a great day!

The equations are x + y = 34 and 12x + 8y = 312. The number of adults and children will be 10 and 24, respectively.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let 'x' and 'y' be the number of adults and children, respectively. Then the equation is given as,

x + y = 34               ...1

12x + 8y = 312        ...2

From equations 1 and 2, then we have

12x + 8(34 - x) = 312

12x + 272 - 8x = 312

4x = 40

x = 10

The value of 'y' is calculated as,

10 + y = 34

y = 24

More about the solution of the equation link is given below.

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pls help with full calculation

Answers

Answer:

a) 80%

b) 20%

90 plus 70 divided by 200 x 100

90+70= 160
=160/200
=0.8
0.8x100= 80% of passing


100-80= 20

20% of both failing

I need a lot of help this assignment is due in the next hour!
An annual bike race is 260 miles long. The distance between City A and City B is 31 miles. About how many times as long as the distance between the two cities is the bike​ race?
please answer A.S.A.P!!!

Answers

Answer:

about 8 times longer

Step-by-step explanation:

If the distance between city A and city B is 31 miles, and it's asking how much longer the total is, I'm assuming it's asking for an equation like [tex]\frac{260}{31}[/tex] which equals roughly 8 (8.39 rounded to the nearest thousandth).

Thanks

Step-by-step explanation:

Bike =260

distance between cities=31

260/31=8.38...

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