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

Can people help me on this please I need it!!! It’s really important

Answers

Answer:

62

Step-by-step explanation:

The total of a triangle is 180

so 78+48 is 118

180-118=62

hello ive been stuck on this question first answer gets brainliest

Answers

Answer:

A

Step-by-step explanation:

Answer:

i wold say 95% A and 80% C

maybe try A

Step-by-step explanation:

Plz I need help on #12

Answers

Answer:

C its C

Step-by-step explanation:

Answer:

The answer is the fourth one

Tyrone's plumbing company charges $40 for a service call and $25 per hour.
Ezekiel's plumbing company charges $65 for a service call and $15 per hour.
Which equation can be used to find x, the number of hours it will take for both
plumbing company's cost to be the same.
O A. 25 + 40x - 15 + 65x
O B. 25x + 40 - 15 + 65x
O C. 25x +40 - 15x + 65
O D. 25 + 40x - 15x + 65

Answers

Answer:

C

Step-by-step explanation:

it is the only one with the variable in the spot of the per an hour which is what the equation is supposed to represent

what is 9+10+10000000000000000+2000000000000000000+99999999999999999999999999999999999999999999

Answers

Answer:

1e+44

Step-by-step explanation:

Answer:

1e+44

Step-by-step explanation:

An architect designs two similar triangular patios. The first patio has angle measures of (x − 10)°, (y + 25)°, and 60°. The second patio has angle measures of (x – 5)°, 55°, and 65°. Find the values of x and y.

Answers

Answer:x=65 y=40

Step-by-step explanation:

1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)

2) x should equal 65

3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.

Does anyone know the answer to 6X +18 = h (3X +9)

Answers

if your solving for x it’s -3 but if your solving for h it’s 2

30 Points. i fr need to pass this test i dont feel like taking it again my senior year

Answers

That’s hella mainey bru same 0

Answer:

3x^3+2x^2+2x+5

Step-by-step explanation:

The answer is A

PLEASE HELP ME ASAP!!!!!!

Answers

Answer:

b

Step-by-step explanation:

Choose all the expressions that are equal to 0.8 × 0.03.
A. 8100×3100
B. 3100×810
C. 80100×3100
D. 310×8010
E. 810×3100

Answers

Answer: 8/10 × 3/100

3/100 × 8/10

Step-by-step explanation:

To be able to solve this question, we need to convert the decimals to Fractions. After they've bee converted to Fractions, we can then look at the options given and see the correct option.

0.8 will be 8/10 when converted to a fraction while 0.03 will be 3/100. Therefore, the correct option will be:

= 8/10 × 3/100 or 3/100 × 8/10.

Therefore, options B and E are correct.

Answer:

Step-by-step explanation:

ace

Answer fast plzzzzzzzzz

Answers

Answer:

its C

0.058

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

XYZ is Shown Below


Determine the value of x.

Answers

Answer:

x = 10

Step-by-step explanation:

Every triangle has 180o. Just add the three angles together.

8x + 5 + 3x + 25 + 4x = 180         Combine the like terms.

15x + 30 = 180                              Subtract 30 from both sides

15x = 180 - 30                              Combine

15x = 150                                      Divide by 15

x = 150/15

x = 10

Answer:

10

Step-by-step explanation:

8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)

8x + 3x + 4x + 5° + 25° = 180°

15x + 30° = 180°

15x = 180° - 30°

15x = 150°

x = 150/15

x = 10°

hope it helps u!

two thousand brown trout are introduced into a small lake. the lake has a volume of 20,000 cubic meters. use a table to find the probability that three brown trout are found in any given cubic meter of the lake.

a. find the average number of brown trout per cubic meter.
b.identify µ and x
c. use table 3 in appendix B to find the poison probability
d. interpret the results
e. determine whether the event is unusual. explain

Answers

I believe it is A: find the average number of brown trout per cubic meter

Find the slope of the line

Answers

Answer:

The line has a slope of Zero.

Step-by-step explanation:

Answer:

The answer is zero

Step-by-step explanation:

The answer is zero because the line is straight it's not positive or negative.

Find the value of x (Round to the nearest tenth) **Hint: Find the length
of the dotted line first***

Helppp!!!!!!!

Answers

Answer:

Length equal 12

Step-by-step explanation:

16^2+b^2=20^2

256+b^2=400 (subtract 256 on both sides)

b^2=144 (square root)

b=12

Nadia is a stockbroker. She earns 13​% commission each week. Last​ week, she sold ​$4,500 worth of stocks. How much did she make last week in​ commission? If she averages that same amount each​ week, how much did she make in commission in​ 2011?

Answers

Multiply amount sold by commission rate:

4500 x 0.13 = 585

She made $585 last week.

Multiply amount made in 1 week by 52 weeks ( 1 year = 52 weeks)

585 x 52 = 30,420

She made $30,420 in 2011

Last year 858 people attended the Middleton County Fair. This year 1,635 people attended. What was the percent increase from last year to this year? (Round to the nearest percent)

Answers

Answer:

91%

Step-by-step explanation:

The first step is to calculate the increase

= 1635-858

= 777

Therefore the percent increase can be calculated as follows

= 777/858 × 100

= 0.905× 100

= 90.5 %

= 91%

Hence the percentage increase is 91%

Pls explain how to solve this problem pls ASAP if you know it pls!

Answers

I’m pretty sure it’s A !

select the correct answer from each drop down menu

a relation is defined by the points (1,4), (3,-1), (-1,-2) and (1,-3)

this relation (is) (is not) a function because there (is no x-value) (is one x-value) (are two x-values) corresponding to multiple y-values.

Answers

Answer:

The answer is that the relation is not a function. because there are two x-values corresponding to multiple y-values

Step-by-step explanation:

Here we want to explain why the given set of points do not represent a function

For a function, we can have same y value for different x value

But, we cannot have same x value for different y value

The sets of point given however has 2 y-values having same x value and as such the points cannot form a function (1,4) and (1,-3)

if its right i’ll give brainliest!!

Answers

Answer:

6.5

Step-by-step explanation:

Square 42

[tex]\sqrt{42}[/tex]=6.48074....

rounded to the tenth is 6.5

Hope this helps!

Write the zero that corresponds to the factor (x+5)

Answers

Answer:

0+5

Step-by-step explanation:

Hope this helps. :)

PLS HELP ASAP, ILL MARK BRAINLIEST IF ITS A REAL ANSWER. LOOK AT THE PICTURE.

Answers

Answer:

#1 yes #2

Step-by-step explanation:

I added comments on why it is correct

Which fraction names the shaded part of the set?

Answers

It would be 4/12 which is equal to 1/3.

The answer is 1/3

The fraction of the shaded part of the set is 1/3.

Given is a figure in which there are total 12 parts with 4 parts shaded.

We need to find the fraction of the shaded part of the set,

To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.

In this case, the total number of parts is 12, and the number of shaded parts is 4.

Therefore, the fraction of the shaded part can be calculated as follows:

Fraction of shaded part = Number of shaded parts / Total number of parts

Fraction of shaded part = 4 / 12

Simplifying the fraction, we get:

Fraction of shaded part = 1 / 3

So, the fraction of the shaded part of the set is 1/3.

Learn more about fraction click;

https://brainly.com/question/10354322

#SPJ6

JOURNEY CONSISTS OF TWO DISPLACEMENTSTHE FIRST IS 500m IN A NORTHERNLY DIRECTION AND THE SECOND IS 200m IN AN EASTRENLY DIRECTION.DRAW TO SCALE A VECTOR DIAGRAM OF THESE DISPLACEMENTS

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The scale of the drawing is 50 m per grid square.

The magnitude of the resultant can be found using the Pythagorean theorem:

  r = √(n² +e²)

  r = √(500² +200²) = 100√29 ≈ 538.52 . . . meters

__

The direction angle can be found using the arctangent function.

The angle east of north is ...

  arctan(200/500) ≈ 21.8014°

The resultant is 538.52 meters in the direction 21.8° east of north.

PLEASE HELP!!! THIS IS 25 POINTS!! ILL MARK BRAINLIEST PLEASE HELP!

Answers

I don’t understand it :(

Carl Cornfield has been wondering whether he should plant white corn this year. He decides to sample 100 customers. 38% say they would purchase white corn. Carl wants to have a 95% confidence interval for this proportion.

The confidence interval is from 33% to 43% (to the nearest percent).

True
False

Answers

Answer:

true

Step-by-step explanation:

alex took a cab in new york city . the cabdriver charged $3.00 to ride in his cab and $1.50 per mile that he rode in the cab . if he spend $12 , how many did he ride in the cab ?

Answers

Answer

8 miles

Step-by-step explanation:

12 divided by 1.50 = 8

question is in the picture please show work

Answers

Answer:

D

Step-by-step explanation:

The m=3/4 when graph

the answer is d, i’m pretty sure

PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP

Answers

Answer:

Step-by-step explanation:

bottom one because x is the variable being changed

meaing that the "per months" is going to always be your x

there are 325 7th graders in 12 classes . determine the unit rate

Answers

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