Mathematics High School

what numbers must be added to complete the perfect square?​

What Numbers Must Be Added To Complete The Perfect Square?

Answers

Answer 1

Answer:

256

Step-by-step explanation:

Let the number be k

Thus, the equation can be written as:

x² – 32x + k

From the above,

a = 1

b = –32

c = k

The value of k can be obtained as follow:

b² = 4ac

(–32)² = 4 × 1 × k

1024 = 4k

Divide both side by 4

k = 1024 / 4

k = 256

Thus, 256 should be added to x² – 32x to make it a perfect square i.e

x² – 32x + 256

****Check****

x² – 32x + k

k = 256

x² – 32x + 256

x² – 16x – 16x + 256

x(x – 16) – 16(x – 16)

(x – 16)(x – 16)

(x – 16)² QED

Related Questions

which statement describes the transformation that would map triangle M to triangle N on this grid

answer choices
A. (X, Y) → (-X + 5, -Y)
B. (X, Y) → (-X + 5, Y)
C. (X, Y) → (X + 5, -Y)
D. (X, Y) → (X + 5, Y)

this is geometry btw :)​

Answers

Answer:

i believe the answer would be B

Step-by-step explanation:

what is this answer 9x2000​

Answers

18,000


just use a calculator bro

Answer:

18,000

Step-by-step explanation:

WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?

Answers

I think it is 8 because 8 * 8 is 64 and 8 * 9 is 72 so it couldn’t be more than 8

Answer: 104

Step-by-step explanation:

I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.

Polygon DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 2 units to the left, what are the coordinates of G'?

Answers

Answer:

(4,6)

Step-by-step explanation:

WILL GIVE BRAINLIEST.

Answers

Answer:

f(x)=1/4x

Step-by-step explanation:

As the x value increases, f(x) decreases at a constant rate of 1/4.

Select two linear pairs.

Answers

Answer:

The answer is B and A. Linear pairs are a set of angles that form a supplementary angle.

Step-by-step explanation:

The answer would "B"

What is the solution to the equation 1/4x+2=-5/8x-5

Answers

the answer would be -8

Answer:

X = -8

Step-by-step explanation:

The explanation is in the image.

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value

Answers

Answer:

133 windows

Step-by-step explanation:

It is given that,

A window washer cleaned 38 windows in 2 hours.

We need to find how many windows did he clean in 7 hours.

2 hours = 38 windows

1 hour = 19 windows

For 7 hours, multiply 19 and 7.

7 hours = 19 × 7 windows

= 133 windows

Hence, in 7 hours he can clean 133 window

To join a gym, there is a monthly fee of $12 and a $5 fee per workout class you take. Which of the following functions would show the cost, in dollars, for a month that she takes w workout classes?

C(w) = 12w
C(w) = 5w + 12
C(w) = 12 + 5w
C(w)= 17w

Answers

Answer:

[tex]C(w) = 5w + 12[/tex]

[tex]C(w) = 12+5w[/tex]

Step-by-step explanation:

Given information:

- Monthly fee of $12

- $5 fee per workout class

- [tex]w[/tex] represents the workout classes taken for a month

- - - -

With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.

Workout fee = [tex]$5w[/tex]

Monthly fee = [tex]$12[/tex]

∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)

Hope this helps :)

Sketch a polynomial that has:
-odd degree
negative leading coefficient
f(2) = -3
f(-3) = 0
4 is a zero with multiplicity of 2​

Answers

Answer:

6 summary is answer and stuff

i’ll make brainlest. help asap pls

Solve the system of equations by using the elimination method.
4x + 6y = 2
–4x + 4y = -12
Enter the solution as an ordered pair.

Answers

Answer:

(2, -1)

Step-by-step explanation:

We can add the first equation by the second

(4x + 6y = 2)+(-4x + 4y = -12)=

10y=-10

we divide both sides by 10 to get

y=-1

We plug -1 in the second equation to get:

-4x+4(-1)=-12

-4x-4=-12

-4x=-8

Now, we divide both sides by -4

x=2

Hope this helps!

Which equation is true when the value of x is 3.5 help

Answers

Answer:2x-8=1

Step-by-step explanation:

Answer:The answer is 2-8=1

Step-by-step explanation:

A cell phone company charges $42 per month of service. The cost of a new cell phone, plus 8 months of service, is $415.99. How much does it cost to buy a new cell phone and 3 months of service? F $79.99 G $126.00 H $205.99 J $289.99 ​

Answers

Answer: F : $79.99

Step-by-step explanation:

42 x 8 = 339

415.99 - 339 = 79.99

I need help! please help

Answers

Answer:

B

Step-by-step explanation:

Please mark me brainleist

Find the equation of the line

Answers

Do you mean the measure?

Which ordered pair is on the graph of y = 4x + 3?

Answers

Answer:

(-2,-1) (-1,-1) (0,-1) (1,-1) (2,-1)

Step-by-step explanation:

hope that helps bro

You buy a cell phone for $95. The sales tax is 6%. How much do you pay in all?

Answers

Answer:

$95 x 6.25% = 5.9375

So, 95 + 5.9375 =

($) 100.9375

Step-by-step explanation:

What’s the slope of the parallel line that passes through (-13, -2) and (14, 13).

Answers

The slope of the line is 0.75

Answer: 5/9

Step-by-step explanation:

Slope formula: y2-y1/x2-x1

y2= 13

y1=-2

x2=14

x1=-13

OR

y2=-2

y1=13

x2=-13

x1=14

(You'll get the same answer either way so it doesn't matter which one you choose, I'm gonna go with the first one.)

m=y2-y1/x2-x1

=13-(-2)/14-(-13)

=13+2/14+13

=15/27

=5/9

Hope this helps :D

Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
If each bottle costs the same amount, how much is each bottle of juice?

Answers

Answer:

$0.77

Step-by-step explanation:

To find how much each bottle of juice costs, divide 2.31 by 3:

2.31/3

= 0.77

So, each bottle of juice is $0.77

Answer: $0.77

Step-by-step explanation:

the total cost of three bottles is $2.31 because each bottle cost the same amount we can divide by 3 to get our answer.

Look at the image below, i have everything added up but i cant get the corn it says “5 for $1.00” but i need 6 corn on the cob, how do i figure that out?

Answers

Answer: They are no directions

Step-by-step explanation:

A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.

Answers

Answer:

Number of package sold = 24 package

Step-by-step explanation:

Given:

Total number of package = 36

Remain package = 8

Computation:

Number of package sold = Total number of package - Remain package

Number of package sold = 36 - 8

Number of package sold = 24 package

Please i will give brainlist

What is he equation of the line passing through the points ( 2/5,19/20 ) and (1/3,11/12) in slope-intercept form?

Answers

Answer:

the second answer

y=1/2x+3/4

PLEASE HURRY!!!
Use the graph of the function to answer the question.
A line that passes through points (negative 4, 5), (negative 3, 3) and (negative 2, 1).

What is the output of the function when the input is −3?

Answers

I think -1.5 because the line passes through-1.5

-3 × (-12)5 ?
what is the answer????

Answers

answer:
180

explanation:

follow PEMDAS.

-12 x 5 = -60


-60 x -3 = 180

Answer:

If the X sign is multiple

=-3*-60

=180

find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

2/x:6/12

6x=24

x=4

A dance teacher surveyed one of her classes about their favorite type of dance. Of those surveyed, 5 favored ballet, 2 favored tap, and 3 favored jazz. Based on these results, predict how many of the teacher's 90 dancers will not favor tap.

Answers

Answer:

72 students

Step-by-step explanation:

80% of the students already do not favor tap (8/10)

to get 90 students you multiply by 9.

8x9 is 72.

The results are 72 students that would not favor tap

solve for c: c-7 ≥ -3
​

Answers

c> or =-3+7
c> or =4

The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number.

5
9
-9
-5

Answers

x + 2 = -7
your answer to this equation is x=-9

Answer:

its C

Step-by-step explanation:

4(x+6)-3x=26 what is the x value

Answers

Answer:

x=2

Step-by-step explanation:

4 (x + 6) - 3x = 26

solve the parenthesis

4x + 24 - 3x = 26

subtract 24 from both sides to get x by itself

4x - 3x = 2

solve

x = 2

X=2 Solve for

by simplifying both sides of the equation, then isolating the variable.

Somebody told me to take this picture a little bit closer

Answers

Answer:

well the slope is...

Step-by-step explanation:

4/3 but i don't know about the equation part

Answer:

y=4/3x+4

Step-by-step explanation:

y=mx+b

hope this is right lol I believe it is correct

Other Questions
How can you prove that the potential energy of a stretched spring turns into kinetic energy when you release the spring? HELP WILL GIVE BRAINIEST AND 20 POINTS!Define 'open depth of field ' in ur own words what is the equation for the line that passes through the point (3,7) and has a slope of 2? Of the 40 students in Mr. Clayman's music class, 30 sing in theschool choir. Express the part of the class that sings in the choir asa fraction. a. 2/5 b. 3/10 c. 30/100 d. 3/4 Help me plzzzz!!!!! Which graph shape represents the polar curve r = 1 + 4sin()?a cardioida rose curvea limaon with an inner loopa limaon without an inner loop Who were the Ottomans named after? (He is the founder of Ottoman Empire)Group of answer choicesA) Osman IB) Suleiman the MagnificentC) Mehmet IID) Selim Can someone help me with this ONE question? Write an equation.. and solve for X Which best explains the role of William B. Travis in the Texas revolution..A he commanded the forces that defeated Sam Houston at the battle of San jacinto.B he commanded the forces that preferred death over surrender at the Alamo.C he commanded the forces that surrendered at goliad and were massacred by Mexican troops.D he was the first Anglo American settler to declare independence from Mexico Karana's mom bought her two items using a credit card. The first item cost $235, and the second item cost $369. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?A.-$134B.$134C.$604D.-$604 which one?explain why Provide an example of school beginning and ending times in Spain.Plz help. Will give brainliest. Read the excerpt from Swift's "A Modest Proposal" and answer the question. Therefore let no man talk to me of other expedients: Of taxing our absentees at five shillings a pound: Of using neither cloaths, nor houshold furniture, except what is of our own growth and manufacture: Of utterly rejecting the materials and instruments that promote foreign luxury: Of curing the expensiveness of pride, vanity, idleness, and gaming in our women: Of introducing a vein of parsimony, prudence and temperance: Of learning to love our country . . . : Of quitting our animosities and factions . . . : Of being a little cautious not to sell our country and consciences for nothing: Of teaching landlords to have at least one degree of mercy towards their tenants. In this excerpt, Swift briefly drops the satirical mask to reveal _____. what is equivalent to 9 x (78) will brainlist A certain brand of tea costs $7.99 for 16.2 ounces.What is the unit rate?Enter your answer, rounded to the nearest cent, in the box.$ per ounce 24 is what precent of 30 ? Why were the Jim Crow laws enacted? A. To provide civil and political rights to blacks B. To enforce desegregation of the US military C. To enforce segregation, or the separation of different peoples D. To prevent women from voting Which of the following is not a type of biological contamination?A)bacteriaB)protozoaC)virusesD)herbicides Thisequipinbueness onTYPEThese are thehappy aliveLiboubesople, clothes,reedseds3ndidate's Examination Number:candidate's Name:nitre Number:Thabiso has dropped out of school. He borrowed a motor van from his aunt moving from village tovillage selling goods3) Which type of retail business is Thabiso operating? 41. You own 25% of Unique Vacations, Inc. You have decided to retire and want to sell your shares in this closely held, all equity firm. The other shareholders have agreed to have the firm borrow $1.5 million to purchase your 1,000 shares of stock. What is the total value of this firm today if you ignore taxes? A. $4.8 million b. $5.1 million c. $5.4 million d. $5.7 million e. $6.0 million