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

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:

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

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.

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.

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

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

what is this answer 9x2000​

Answers

18,000


just use a calculator bro

Answer:

18,000

Step-by-step explanation:

solve for c: c-7 ≥ -3
​

Answers

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

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.

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

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 :)

Find the equation of the line

Answers

Do you mean the measure?

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:

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

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.

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.

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

find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

2/x:6/12

6x=24

x=4

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!

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:

-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

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

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:

I need help! please help

Answers

Answer:

B

Step-by-step explanation:

Please mark me brainleist

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

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:

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

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"

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:

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
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