Evaluate and simplify the following expression for the given values​

Evaluate And Simplify The Following Expression For The Given Values

Answers

Answer 1

Answer:

-88

Step-by-step explanation:

-a² + 4ab - b²

Substitute the variables with the numbers given.

-2² + 4(2×-6) - -6²

-2² + 4(-12) - -6²

-4 + 4(-12) - 36

-4 + -48 - 36

-52 - 36 =

-88

(im starting 8th grade tommorow and im doing this cause im bored and i should practice xD)


Related Questions

Mary likes to collect coins. Mary got 24 coins from her brother, 16 coins from her mother as well as
37 coins from Joan. However, Mary lost 23 coins before putting those coins into her piggy bank. How
many coins does Mary have in her piggy bank?

Answers

Answer:

53

Step-by-step explanation:

24+16=40 40+37=77 77-24 = 53

If a+b+c=6,ab+bc+ca=11,then what is a3+b3+c3-3abc

Answers

(a+b+c)^3=a^3 +b^3+c^3-2(ab+ac+bc)

216=a^3+b^3+c^3-2(11)

a^3+b^3+c^3=238

but ıdk how can ı find -3abc :/

Answer:  18

===============================================

Work Shown:

a+b+c = 6

(a+b+c)^2 = 6^2

(a+b+c)(a+b+c) = 36

a(a+b+c)+b(a+b+c)+c(a+b+c) = 36

a^2+ab+ca+ab+b^2+ca+bc+c^2 = 36

a^2+b^2+c^2+2ab+2bc+2ca = 36

a^2+b^2+c^2+2(ab+bc+ca) = 36

a^2+b^2+c^2+2*11 = 36

a^2+b^2+c^2+22 = 36

a^2+b^2+c^2 = 36-22

a^2+b^2+c^2 = 14

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

a^3+b^3+c^3-3abc = (a+b+c)*(a^2+b^2+c^2 - (ab+bc+ca) )

a^3+b^3+c^3-3abc = 6*(14 - 11)

a^3+b^3+c^3-3abc = 18

20. The temperature of a pot of water is 62*F. The temperature increases

by 20*F per minute when being heated. Write an equation to represent

the linear relationship. *

Answers

Given :

The temperature of a pot of water is 62 F .

The temperature increases  by 20 F per minute when being heated .

To Find :

Write an equation to represent  the linear relationship.

Solution :

Here , the temperature is increasing directly with the time .

Therefore , it is a linear equation .

Let temperature varies with as :

T = at+b   .... equation 1 .

( Here , a and b are constants )

Now , at t= 0 min .

[tex]T = 62 =a\times 0 + b[/tex]

[tex]b=62[/tex]    

Now , after 1 min temperature will be , T = 62 +20 =82 F

[tex]T = 82 = a\times 1+62\\a=20[/tex]

Putting value of a ans b in equation 1 , we get :

[tex]T=20t+62\ F[/tex]

Hence , this is the required relation .

I don’t know what to do here someone please help

Answers

Answer:

2) 24

3) 13

4) 27

Step-by-step explanation:

2) 3(2)^4-1=3(2)^3=24

3) 3(5)-2=15=2=13

4) 4(6-1)+7=4(5)+7=20+7=27

a car tire has a radius of 10.4 inches what distance will the tire travel after 20 rotations

Answers

Answer:

is A

Step-by-step explanation:

In a cyclic quadrilateral ABCD, if (∠B – ∠D) = 60o , show that the smaller of the two is 60o

Answers

ANSWER

It is given that ABCD is a cyclic quadrilateral  

(∠B−∠D)=60  

o

......(1)

(∠B+∠D)=180  

o

.....(2)

By adding both the equations

∠B−∠D+∠B−∠D=60  

o

+180  

o

 

So we get  

2∠B=240  

o

 

By division

∠B=120  

o

 

By substituting equation it in equation (1)

(∠B−∠D)=60  

o

 

120  

o

−∠D=60  

o

 

On further calculation  

∠D=120  

o

−60  

o

by subtraction  

∠D=60  

o

 

Therefore, the smaller of the two angles ∠D=60  

o

.

Step-by-step explanation:

pls ignore the numbers that was another problem :) ​

Answers

3/4 + 1/8 + 1/10 = 39/40

............................................

Answer:

39/40 Please mark my answer the brainliest. It will get me to the next level!

Step-by-step explanation:

4=4, 8, 12, 16, 20, 24, 28, 32, 36, 40

8=8, 16, 24, 32, 40.

10=10, 20, 30, 40.

GCF=40

3/4=30/40

1/8=5/40

1/10=4/40

30+5+4=39

y/3=2-2y in a verbal sentence

Answers

Answer:

Y=6/7

Step-by-step explanation:

Y=0.857142

Answer:

a number divided by 3 equals the value of two times the same number subtracted from 2

Step-by-step explanation:

what is the graph of y= [tex]-\sqrt[7]{x} -8[/tex]

Answers

The graph is Negative

What is the value of the expression below
x = 8 and y = 3

9x + 7y

Answers

93 is the answer to the expression

9x+7y

x=8 and y=3

9(8)+7(3)

72+7(3)

72+21

=93

where should the decimal point be placed in the example shown

Answers

I cannot solve this because there is no example

Answer:

A

Step-by-step explanation:

what is the multiplicative inverse of -1/2

Answers

In mathematics, the reciprocal, or multiplicative inverse, of a number x is the number which, when multiplied by x, yields 1. It is denoted 1/x or x-1.

The local cable TV provider charges $89.00 per month for basic service, and has a $45.00 one-time "Activation Fee" for new accounts. Write (choose) the model for the Total Cost (C) of having cable TV as a function of the number of months (m) that you have service.

Answers

Answer: 89m+45=c

Step-by-step explanation:

16 less than the product of - 2 and -12

Answers

Answer:

8

Step-by-step explanation:

-12 x -2 = 24. 24-16=8

PLEASE HELP FAST..ASSIGNMENT IS DUE IN MINUTES!!
An ice cream cone costs $3
plus 6% sales tax. How many
Icecream cones can be purchased
for $24?

Answers

Answer:8

Step-by-step explanation:

Answer:

Since its due quickly ill just write the answer. Let me know if you want the work as well though.

3*(1.06)=3.18

so,

24/(3.18)=7.57

You can't have half an ice cream cone ( i wish we could though :( ) , you can only get 7

7 ice cream cones

Please please please help! D:

Answers

Answer:

∠ CAD = 32°

Step-by-step explanation:

The sum of the angles in Δ ABD = 180°, thus

∠ BAD + 100° + 48° = 180°

∠ BAD + 148° = 180° ( subtract 148° from both sides )

∠ BAD = 32°

Since AD bisects ∠ CAB , then

∠ CAD = ∠ BAD = 32°

3x-5)(x2+2x+1) Please show working

Answers

Answer:

3x^3 + x^2 -7x - 5

Step-by-step explanation:

SOOOOOOO you use the distributive property and multiply by each term.

Answer:

3x^3 + x^2 -7x -5

Step-by-step explanation:

(3x-5)(x^2+2x+1) you multiply and then add to get to 3x^3 + x^2 -7x -5.

*For example (x+2)(x+3) will be x^2+5x+6 The same logic is applied.

9+w>7 what is the inequality?

Answers

Answer:

w > -2

Step-by-step explanation:

9 + w > 7

Subtract 9 from both sides to end up with w alone on the left side.

w > -2

the answer is w > -2

Which equation represents the data shown in the table below? Fence Length (y) 100 150 180 240 Number of Posts (x) 11 16 19 25 A y  10x  1 B y  10(x  1) C y  10x  1 D y  10(x  1)

Answers

Answer:y=10x-1

Step-by-step explanation:

how to do recurring decimal and fraction

Answers

Answer:

What do you mean.....???

ex.....0.444444.......

Remove point.... and Write 9 as denominator

that is 4/9

Writing a two-column proof

Answers

Answer: I know this is late, but hope this helps. ^-^

Step-by-step explanation: Edge 2021.

To prove : m∠ABC = m∠GHI

Given,

∠ABC ≅ ∠DEF

∠GHI ≅ ∠DEF

Here,

∠ABC ≅ ∠DEF

∠GHI ≅ ∠DEF

∠DEF ≅ ∠ABC (Symmetric property)

∠GHI ≅ ∠ABC (transitive property)

m∠GHI = m∠ABC (definition of ≅ angles)

m∠ABC = m∠GHI ( symmetric property)

Hence

m∠ABC = m∠GHI

Know more about angles,

https://brainly.com/question/11293539

#SPJ2

a rectangluar rug has a length that is 3 times its width. The perimieter is 56 feet. what are the dimensions?

Answers

Answer:

7 x 21

Step-by-step explanation:

We can say that the dimensions are a and b. Since this is a rectangle, we know that the perimeter will be 2a + 2b. So our first equation is:

2a + 2b = 56.

They also tell us that the length is 3 times its width. So we can say this:

a = 3b.

Now we can substitute, and we can do the full problem with the given info:

2a + 2b = 56

a = 3b

2a = 6b

6b + 2b = 56

8b = 56

b = 7

Now that we know b, we can multiply it by 3 to get a:

b = 7

a = 3b

a = 21.

So our answer is:

a = 21

b = 7

Answer:

Dimensions:

7 x 21

Answer:

Width=7

Length=21

Step-by-step explanation:

p=56 feet

L=3W

P=2L + 2W

56=2(3W)+2W

56=6W+2W

56=8W

W=56/8 = 7 ⇒ Width=7

L=3W

L=3*7

L=21 feet ( length=21 feet)

check : p=2l+2w

P=2(21)+2(7)

p=42+14=56

The formula x + y = 180 can be used to find the degrees of supplementary angles, where x is the smaller angle. Find the domain and range of this solution

Answers

Answer:

Domain : 0° < x <90°

Range: 90° < y < 180°.

Step-by-step explanation:

When we have a function:

f(x) = y

the domain is the set of the possible values of x, and the range is the set of the possible values of y.

In this case we have:

x + y = 180°

such that x < y

Let's analyze the possible values of x.

The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.

Knowing this, we can find the maximum value for y:

0° + y = 180°

y = 180° is the maximum of the range.

Then we have:

0° < x

y < 180°

To find the other extreme, we can use the other relation:

x < y.

Then, we can impose that x = y (this value will not be either in the range nor the domain)

if x = y then:

x + y = x + x = 180

2*x = 180

x = 90°

This will be the maximum of the domain and the minimum of the range.

Then we have that the domain is:

0° < x <90°

And the range is:

90° < y < 180°.

Use properties of operations to find the quotient. -14 ÷ (-4.48)

Answers

Answer:

3.125

Step-by-step explanation:

-14÷(-4.48)

14÷(4.48)

divide that you will get 3.125

25/8, 3 1/8

is its alternative form.

Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns as 4:3. Which ratio is equivalent to Colton's ratio?

Answers

Answer:

4 to 3

Step-by-step explanation:

Since in the question it is mentioned that the ratio is written by comparing the number of video games with respect to sports to the number of video games with respect to the driving is 4: 3

Also the ratio defines a relationship between the two variables

So, the ratio that is equal to cotton ratio is 4 to 3 and the same is to be considered

Answer:

Your answer is 4 to 3

Step-by-step explanation:

2•14+ 3•7
————-
71 - 15

Answers

7/8 or in a decimal 0.875

if your last period started on Augest 6 and stopped on Augest 11. when will you have your next period?​

Answers

It depends on the cycle length , it may change

“six less than twice y”

Answers

Answer:

2y-6

Step-by-step explanation:

Six less = Subracted by 6.

**URGENT** what is 2 and 1/3 minus 4/5 written as an improper fraction?

Answers

Answer:

23/15

Step-by-step explanation:

Step 1:

2 5/15 - 12/15

Step 2:

35/15 - 12/15

Answer:

23/15

Hope This Helps :)

In an arithmetic sequence, the first term is 2 and the second term is 5. Find the common difference.

Answers

Answer:

              d = 3

Step-by-step explanation:

In an arithmetic sequence the common difference is always the difference between the next term and the previous term:

[tex]d= a_2-a_1=a_3-a_2=...=a_{150}-a_{149}=....[/tex]

we have:   [tex]a_1=2\quad and\quad a_2=5[/tex]  

so:

     [tex]d=5-2 =3[/tex]

Other Questions
Plzzzzz help!!!!Use complete sentences to differentiate between acids and bases on the basis of their behavior when dissolved in water. Give an example of each type. How could you prove that a number is divisible by 16? Use the space below to test your hypothesis using the numbers 144 & 256. Explain your new rule. Craft and Structure: What do you think the term mulatta means, based on theway the author uses it in paragraph 3? Which of the following best describes the significance of The Divine Comedy? What is a sign that content isbiased?A. The author has a lot of experience in the topicB. The author lists evidenceC. The author makes money in a connected areaD. All of the above 0.95 bar as a simplified fraction Please help and show work! Simplify each expression! -7y - (-12y) = 15xy- (-6xy) = -53va - 32va Answer the expressions and show work please! 64 / 0.8 -5.6 / 7 = Use the distributive property to simplify the expression. Show work! -(x -3) + 6 = Use order of operations to evaluate the expression. Show work please! 6 + 3 (9) = Evaluate the expressions if x = 10, y = 5, and z = 1. x/y = xy + z 5 (z - x) Please answer all of these questions correctly and show work! I really need this! I'm putting 50 points and I'll choose brainliest! 8910TIME REMAINING52:24okHow does this quotation add credibility to Freedman'sstatement that the immigrants never forgot seeing theStatue of Liberty for the first time?tesar-oldork harbormer's hands,ther.g againstcries,lin filled theEs so thattatue ofo It adds credibility because it comes from a worker onthe ship who sailed past the Statue of Liberty.o It adds credibility because it comes from animmigrant who actually shares his memories ofseeing the Statue of Liberty.o It adds credibility because it comes from a historianwho studied immigrants and the Statue of Liberty.o It adds credibility because it comes from a journalistwho researched the Statue of Liberty quadrilateral A can be rotated into position of quadrilateral B. Estimate the angle of rotation 5. Which of the following describe the transformation rule (x, y) (x + 1, - 2)Move left two, down oneMove right one, down twoMove right two, down oneMove left two, up one Nela is filling her circular backyard swimming pool. The radius of the pool is 5 feet and the height is 6 feet. Which shows the correct substitution of these values into the formula for the volume of a cylinder? PLEASE HELP i really need the answer to this asap. "Imagine you find a nut on the ground." Claude is an investment adviser representative. One of his clients has recently bought and sold into and out of several investments. None of the investments were held for more than 6 months, and the investor is now asking Claude how to best compare the returns. Claude tells the client to annualize the returns. Why is annualizing the returns a good idea what were the social and political issues during the enlightenment? The British Army forced the Americans to retreat, but sustained heavy lossesat:A. Lexington and Concord.B. Bunker HillC. Yorktown.O D. Fort Ticonderoga. Elmina Castle is a fortified trading post built by the Portuguese in the late 15th century along the Gold Coast of Africa. What was exported from its docks? sodality is highlited by How does Article V limit the federal governments power? Which sentence is written in the active voice?(10 points) -The lunch was packed. -The plans were made. -Rebecca and Lauren were driven by their parents. -Rebecca and Lauren went to the beach. what is eletro magnet