factor the following
(a²+b²)²-18(a²+b²)-88​

Answers

Answer 1

Answer:

[tex] \rm\displaystyle( {a}^{2} + {b}^{2} - 22)( {a}^{2} + {b}^{2} + 4)[/tex]

Step-by-step explanation:

we would like to factor the following:

[tex] \rm\displaystyle ( {a}^{2} + {b}^{2} {)}^{2} - 18( {a}^{2} + {b}^{2} ) - 88[/tex]

let a²+b²=x

thus substitute:

[tex] \rm\displaystyle x {}^{2} - 18x- 88[/tex]

rewrite the middle term as 4x-22x:

[tex] \rm\displaystyle x^{2} + 4x - 22x - 88[/tex]

factor out x:

[tex] \rm\displaystyle x( x^{} + 4)- 22x - 88[/tex]

factor out -22:

[tex] \rm\displaystyle x( x^{} + 4)- 22(x + 4)[/tex]

group:

[tex] \rm\displaystyle( x- 22)(x + 4)[/tex]

substitute back:

[tex] \rm\displaystyle( {a}^{2} + {b}^{2} - 22)( {a}^{2} + {b}^{2} + 4)[/tex]

and we are done!


Related Questions

UERGENT!!!!!!
Find the values of x and y

Answers

5x - 17 = 48

5x − 17 + 17 = 48 + 17

5x = 65

x = 13

180 - 48 = 132

y = 132

Please help i'm struggling with this!It's urgent!

Answers

Answer:

Step-by-step explanation:

Dilation

pls help me solve pls show how you got the answer

Answers

Step-by-step explanation:

the answer is number a 88 CM square

hey, if the volume is 8cm^3, each side will be 2 cm, why? because 8√3 equals 2. or 8=2×2×2.

so each side equals 2.

to calculate the surface area, we need to calculate one square's area and multiples it by the number of the surfaces.

to calculate a square's area: 2×2=4

so each square has the surface of 4cm^2

now we count to see how many squares do we have.

we've got 22 surfaces.

so 22×4=88cm^2

then option C is the answer

my mother tongue isn't English so my apologies if I couldn't explain well

1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.

Answers

Is there more to this question?

can u help me part 3..

Answers

Yup I can! (For the third time ;) )
This one was a bit tricky for me, So I am 90% sure ;)
Answer: 336pi in^2

Explanation: The explanation is quite long, so I won't go into much detail :) Just keep the formula in mind!! :>

If available please give me a Branliest. It would be much appreciated.

- Mathhotdog •~•

Change the units up above to the correct answer from (a) to (d)

Answers

Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

find the complement of 63°​

Answers

Answer:

63=90-63= 27

Bye

Word Problem:
Adult ticket for a football match costs $18.40 a child's ticket is $3.80 less then the adult's ticket then what will be the cost of a child's ticket ? find the total cost of ticket's of a man has to buy 5 Adult and 3 child ticket.

Answers

81910 is the total answer

Answer:

the answer is 135.8 plzz mark me the brainliest

(4x^2+3x −5)+(x^2 −7x+10)

Answers

Answer:

[tex]5x^{2} -4x +5[/tex]

Step-by-step explanation:

Jwywwusuwuhsjwiwiwiwiwjnexbdnjsjsjejjeje

Need help ASAP thanks

Answers

Answer:

B 15 has to be the answer i think but ion fully know

Answer:

b 15%

Step-by-step explanation:

I need help finding the solution

Answers

Answer:

170°

Step-by-step explanation:

The total degrees of a circle is 360°. So the math is pretty straight forward.

130 + 60 = 190           (First you find what the known degrees are together)

360 - 190 = 170          (Next you take that added total and subtract it from 360)

x = 170                        (And there you go! Your answer!)

I hope this helped :)

Solve the system of equations by substitution. Simplify your answer. Write the
solution as an ordered pair.
y= 3x - 13
3x + 2y = 19

Answers

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

5x raised to 3+4 x raised to 2 - 6​

Answers

Answer:

[tex]125x^3 + 16x^2 -6[/tex]

Step-by-step explanation:

Given :

5x raised to 3 , that is =

                             [tex](5x)^3 = 5^3 \times x^3 = 125 x^3[/tex]

4x raised to 2 , that is =

                             [tex](4x)^2 = 4^2 \times x^2 = 16 x^2[/tex]  

Final step : (5x raised to 3) + ( 4x raised to 2) - 6, that is =

                                                                                [tex](5x)^3 +(4x)^2 - 6 \\\\=125x^3 + 16x^2 -6[/tex]

HELP I WILL GIVE brainly Est to whoever can answer.

Answers

Answer:

122

Step-by-step explanation:

Have a nice day :)

plz mark brainllest

B- 300° you add the 120 angle plus 180 bc half a circle is 180 and ur finding STR

The numbers below represent side lengths of various triangles. Which of the triangles are right triangle?

1. 5, 6, 9 A. Right triangle
2. 9, 11, 13 B. Not a right triangle
3. 20, 21, 29
4. 7, 24, 25
5. 9, 40, 41

Answers

Answer:

Step-by-step explanation:

Number 5

WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.

Answers

Answer:

[tex]y=\frac{6}{5}x-5[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the two given points (0,-5) and (5,1)

[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{6}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{6}{5}x+b[/tex]

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

[tex]y=\frac{6}{5}x-5[/tex]

I hope this helps!

Answer:

y = 6/5x - 5

Step-by-step explanation:

To find the equation of a linear line you need 2 things: the slope and the y-intercept.

The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.

The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.

So you get y = 6/5x - 5.

Here is standard form too if you need this instead: 6x - 5y = 25

Which equation is equivalent to
y-1= 5(x+2) ?

Answers

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

Find the missing angle in this triangle

Answers

180-124-23= 33 because any triangle adds up to 180

Answer:

hope it helps

Step-by-step explanation:

124+23+x=180

x+147=180

x=180-147

x=33

La velocidad maxima permitida en una autopista es de 120km/h. Se considera infraccion si se sobrepasa segun al rodar el 12% de esa velocidad. A que velocidad como minimo iba un conductor que cometio una infraccion

Answers

Answer:

La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:

134.5 Km/h

O si se desea un número entero:

135 Km/h

Step-by-step explanation:

Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:

Velocidad Máxima Permitida: 120 Km/hCausa de infracción: Sobrepasar el 12% de la velocidad máxima.

Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:

Velocidad límite antes de la infracción = 120 Km/h + (120 Km/h * 12%)Velocidad límite antes de la infracción = 120 Km/h  + 14.4 Km/hVelocidad límite antes de la infracción = 134.4 Km/h

Cómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.

Find the exact value, without a
calculator
711/6
sin
2

tan
12
711/6
COS
2
? ] + [
- √

Answers

Answer:

The answer to calculate this will be:

5

π

6

The required value of tan(7π/12) = √[(2+√3)/(2-√3)].

To find the exact value of tan(7π/12).

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]

tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
                 =  √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]

                  =  √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
                 =  √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]

Here, cos( π/6 ) = √3/2
                  =  √ [ (1 + √3/2 ) / (1 - √3/2 ]
                 =  √ [ (2 + √3)/2  / (2- √3)/2 ]
                 = √ [ (2 + √3) / (2- √3) ]


Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].

Learn more about trigonometry equations here:

https://brainly.com/question/22624805

#SPJ2

What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?

Answers

Answer:

(5;1)

Step-by-step explanation:

-3 means shift to the right

De 1.620 trabajadores de una empresa textil 7/9 trabajan en confeccion y el resto en tareas administrativas. ¿cuantos trabajadores trabajan en confeccion?

Answers

Answer:

The number of employees work in clothing is 1260.

Step-by-step explanation:

Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?

Total workers = 1620

employees works for clothing = 7/9

So, the number of employees = 7/9 x 1620 = 1260

Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.

Sabemos que hay un total de 1,620 trabajadores en la empesa textil.

7/9 de ellos trabajan en confección.

Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:

N = (7/9)*1,620 = 1,260

1,260 trabajadores trabajan en confección.

sí quieres aprender más, puedes leer:

https://brainly.com/question/12668006

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario.

A coordinate plane showing Newspaper Circulation, Years Since 2000 on the x-axis and Circulation on the y-axis. A line starting at (0, 80,000), passing through a point at (10, 50,000) and ending at (18, 25,000).

What number will complete the point-slope equation that models this scenario?

y−50,000=[_______](x−10)

−3,000
−2,000
2,000
3,000

Answers

Answer:

-3,000

Step-by-step explanation:

got it correct on edg

Answer:

-3000

Step-by-step explanation:

Right on edge 2021

Multiply the following using the vertical multiplication method 3x2 - 5x +1 XX + 2x + 4 O A. 3x4 + x2 +10x7 - 18x + 4 O B. 3x4 +x+3x2 - 18x + 4 O C. 3x4 + x + 10x2 + x + 4 O D. 3x4 D. 3x4 - x2 + 3x2 + 18x + 4​

Answers

Answer:

ANSWER

C.

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

EXPLANATION

We want to multiply;

(3 {x}^{2} + 5x + 1)( {x}^{2} - 2x + 4)(3x

2

+5x+1)(x

2

−2x+4)

We use the distributive property to obtain:

3 {x}^{2} ( {x}^{2} - 2x + 4) + 5x( {x}^{2} - 2x + 4) + 1( {x}^{2} - 2x + 4)3x

2

(x

2

−2x+4)+5x(x

2

−2x+4)+1(x

2

−2x+4)

We expand to get:

3 {x}^{4} - 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} - 10 {x}^{2} + 20x + {x}^{2} - 2x + 43x

4

−6x

3

+12x

2

+5x

3

−10x

2

+20x+x

2

−2x+4

Regroup similar terms:

3 {x}^{4} - 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} - 10 {x}^{2} + {x}^{2} + 20x - 2x + 43x

4

−6x

3

+5x

3

+12x

2

−10x

2

+x

2

+20x−2x+4

Combine similar terms:

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

The correct choice is C.

In the trapezium ABCD, AB= 4 cm, BC=9 cm, CD= 16 cm, BCD=90°.
Find AD.

Answers

Answer :

The value of AD will be 15 cm.

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

work out the answer of the given fractions 3/12+1/6=​

Answers

step one: create common denominator
3/12+1/6=3/12+2/12
step two: add numerators
3/12+2/12=5/12
step three: simplify if necessary
5/12 is already simplified
5/12 is the correct answer

HELPPP PLEASE!!!!!!!!!!

Answers

C because i like the letter c

In a two-digit number, the units digit is twice the tens digit. If the number is doubled
it will be 9 more than the number reversed. Find the number.

Answers

T=Tens

U=Unit

From the question... The Unit digit is twice the Tens digit

Let the Number be xy

Meaning

y is the unit number

x is the tenth Number

Can be inferred for the question that

y=2x ...........(i)

Also

If the Number is doubled x2(times 2)

"It'll be 9more than the reversed"

Now listen

if you want to express a 2digit Number...

Let's say 45...

It can be expressed as 10x4 + 5 = 45

or

66 can be expressed as 10x6 + 6 = 66

So

It'd be better if we express this our unknown number like that too

So

Let's express "xy" like "10x + y"

Hope you grab?

Now from the second statement of the question..

If The Number is doubled...It'll be 9 more than the reversed

What is the reverse of that Number??

The reverse would be "10y + x"

You can see that x and y switched places.

so

The statement said...

2(10x + y) + 9 = 10y + x (reversed)

20x + 2y + 9 =10y + x ........(ii)

Recall from our first eqn

y=2x

Now substitute y=2x into eqn ii

20x + 2(2x) + 9 = 10(2x) + x

20x + 4x +9 = 20x + x

20x - 20x + 4x - x = -9

3x = -9

x=-3

y=2x

y=2(-3)

y=-6

So The Number is 10x + y

= 10(-3) + (-6)

=-30-6

=-36

This answer obeyed the first part of the question because the unit is twice digit(2x3)

Let's check if it obeyed the second part

2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)

2(-30-6) + 9 = -60-3

-63=-63

The 2nd part is also true.

So

Our Number is -36.

I'm Open to corrections if you spot any.

cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer

Answers

Answer:

a = -24

Step-by-step explanation:

a / -3 - 2 = 6

a/-3 = 8

a = -3 * 8

a = -24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: a= -24

a/-3- 2=6

      +2   +2

a/-3=8

   *3  *3

a= -24

Which graphs represent functions with the following key features?

positive on ()
increasing on ()
approaches 0 as x approaches


Graph U
Graph V
Graph W
Graph X
Graph Y
Graph Z

Answers

Answer:

Graph U

Step-by-step explanation:

A graph is used to illustrate the relationship between variables.

For graph U:

Graph U is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph approaches 0 as x approaches -∞.

For graph V:

Graph V is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞.

For graph W:

Graph W is positive on (-∞, 0). The graph also increases on (-∞, 0). The graph approaches 0 as x approaches -∞.

For graph X:

Graph X is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞

For graph Y:

Graph Y is positive on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph approaches 0 as x approaches ∞.

For graph Z:

Graph Z is negative on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph is approaches 0 as x approaches -∞

Other Questions
using the image,find angle x and y Helpppp quiccckkkkkm Solve 7x+6 please help ill give brainliest :)) A coach travels from the station to the beach, a distance of 430 km away in 7 hrs. The coach is only allowed to travel at a maximum speed of 95 km/h. Did the coach break the speed limit? Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 200 managers, 300 factory workers, and 900 miscellaneous staff, find the following probabilities, leaving the answers as formulas.(a) All the managers will be offered the opportunity.C(___,___)C(___,___)(b) You will be offered the opportunity.C(___,___)C(___,___) Pliss you can help me pliss The mass of a dime is about 0.002268 kg. Which is the best estimate of the mass?A 2 x 10-3B 2 x 10-2C 2 x 102D 2 x 103 Determine whether the following statement is always, sometimes, or never true.If two pairs of corresponding sides of two right triangles are congruent, then the triangles arecongruent. caracteristicas del pasado Our people finally sorted it out a couple weeks later. Thechemical, which, by the way, cut down the number ofmosquitoes exponentially, had the unfortunate side effectof killing off this little wasp I've got the scientific namefor it somewhere in my report here, if you're interestedthat preyed on a type of caterpillar that in turn ate palm leaves. Well, with the wasps gone, the caterpillars hatched out with nothing to keep them in check and chewed the roofs to pieces, and that was unfortunate, we admit it, and we had a real cost overrun on replacing those roofs with tin ... but the people were happier, I think, in the long run, because let's face it, no matter how tightly you weave those palm leaves, they're just not going to keep the water out like tin. Of course, nothing's perfect, and we had a lot of complaints about the rain drumming on the panels, people unable to sleep and what-have-you. ...Which passage from the excerpt shows that the narrator is using logos?A. I've got the scientific name for it somewhere in my report here, if you're interestedB. The chemical, which, by the way, cut down the number ofmosquitoes exponentially, had the unfortunate side effect of killing off this little waspC. that was unfortunate, we admit it, and we had a real cost overrun on replacing those roofs with tinD. the people were happier, I think, in the long run, because let's face it, no matter how tightly you weave those palm leaves, they're just not going to keep the water out like tin three possible factors that could have led to the problem of waste dumping I need the answers to this Mark started walking to school at half past 9. christy arrived at school 15 minutes later .What time did she get to school jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.how much sparkiling water does jada need if she uses 15 cups of apple juice? solve the answer with a full explanation Identify the type of sentence below:Whenever the clock struck midnight, Cinderella lost her slipper. I'm doing the fresh fruit vs canned fruit experiment and if I prepared the fruit a different way would it effect the gelatin Fill in the blank in the following sentence with the appropriate family member belowEl padre de mi madre es mi _____A. hermanoB. toC. abuelaD. abuelo Please match the pronoun with with the correct form of SER in the present tense.ElloseressomosO soy O sonOsois What is gender inequality? Do you think there is gender inequality in the world? Give one example. The following data were accumulated for use in reconciling the bank account of Creative Design Co. for August 20Y6:1. Cash balance according to the companys records at August 31, $24,270.2. Cash balance according to the bank statement at August 31, $32,278.3. Checks outstanding, $14,668.4. Deposit in transit, not recorded by bank, $7,170.5. A check for $58 in payment of an account was erroneously recorded in the check register as $580.6. Bank debit memo for service charges, $12.A. Prepare a bank reconciliation, using the format shown inB. If the balance sheet were prepared for Creative Design Co. on August 31 what amount should be reported for cash?C. Must a bank reconciliation always balance (reconcile)A) NoB) Yes.Amount DescriptionsAdjusted balanceBank service chargeBank error in charging check as $58 instead of $580Bank error in charging check as $580 instead of $58Deposit in transit, not recorded by bankError in recording check as $58 instead of $580Error in recording check as $580 instead of $58Outstanding checksTotal adjustments