1. Explain why it makes sense to call the following expression a “perfect
square." *
x2 + 20x + 100

Answers

Answer 1

Answer:

because all sides are equal

Answer 2

The expression is a perfect square of (x+10)².

What is perfect square?

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

Given that the expression, x² + 20x + 100,

So, writing the expression as expanded form,

x·x + 2·10·x + 10·10

x² + 2·10·x + 10²

We see it is in the form of a² + 2ab + b²,

We know that, a² + 2ab + b² = (a+b)²

So,

x² + 2·10·x + 10² = (x+10)²

Hence the expression is a perfect square of (x+10)².

Learn more about perfect square click;

https://brainly.com/question/29056294

#SPJ2


Related Questions

Can you figure out the missing number​

Answers

Answer:

probably 6 thats one of the missing ones

what is the area of the rectangular piece of wood?

Answers

Answer:

2x^2 + 7x + 3 is the area of the rectangular piece of wood.

Step-by-step explanation:

Here,

Length ( l ) = x + 3

Breadth ( b ) = 2x + 1

Formula : -

Ar ( rectangle ) = lb

lb

= ( x + 3 ) ( 2x + 1 )

= x ( 2x + 1 ) + 3 ( 2x + 1 )

= 2x^2 + x + 6x + 3

= 2x^2 + 7x + 3

Nathan Drives a motorcycle that travels 166.5 miles on a 4.5 gallon tank. What is the unit rate in miles per gallon.

Answers

Answer:

37 miles per gallon

Step-by-step explanation:

Ratios:

[tex]\frac{166.5}{4.5} =\frac{x}{1} \\\\4.5x=166.5\\x=37[/tex]

Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans what fraction of the bag did Craig fill with beans

Answers

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

Help please lost on this question

Answers

Answer:

First one is 6

Second one is 4

Step-by-step explanation:

Right on egg

Find the quotient: 30m12n3÷−63m4n4.

Answers

Answer:

Hi! The answer to your question is -[tex]\frac{10m^8}{21n}[/tex]+[tex]0m^{7}[/tex]

Step-by-step explanation:

↗✧*☆*: .。..。.:*☆♪↗✧*☆*: .。..。.:*☆♪

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

What does c equal in the picture?

Answers

Answer:8

Step-by-step explanation:

IF PASSPORT is written as RCUURQTV, then how will BOOKLET be coded?​

Answers

Answer: DQQMNGV

Step-by-step explanation: Each letter is shifted two letters to the right on a letter strip (a -> b -> c), so BOOKLET would be DQQMNGV.

Hope this helps!

Gina and Marty are selling tickets for the school dance. On Monday, they sold 15 tickets, on Tuesday 23, on Wednesday 20, and on Thursday 32. What was their average daily income if each ticket cost $2.00?

Answers

Answer:

$45

Step-by-step explanation:

15×2=30

23×2=46

20×2=40

32×2=64

30+46+40+64=180

180÷4=45

Average=45

Answer:

Their average daily income would be 45 dollars a day.

Step-by-step explanation:

To solve this, add the 15 tickets, 23, 20, and 32 tickets from Monday to Thursday. This should get you a total of 90 tickets. Since each ticket cost 2 dollars, multiply the 90 by 2. This should get you 180. TO find the average, you must divide the total(180) by the amount of days(4) that passed. This should get you 45.

Answer:

45$

A soft drink costs $1.65 and each refill for the drink costs $0.95. If you have $4.50, how many refills can you purchase?

Answers

Answer: 3 refills

Step-by-step explanation:

$1.65 + 0.95 + 0.95 + 0.95 = $4.50

How many kilograms are equal to
54,308 grams?

Answers

Answer:

54.308 kilograms

Step-by-step explanation:

What is the lateral surface area of this cylinder?
A-452.16 sq. yds
B-226.08 sq. yds
C-678.24 sq. yds
D-904.32 sq. yds

Answers

Answer:

A. 452.16 yd²

Step-by-step explanation:

Lateral surface of the cylinder = 2πrh

Where,

r = 6 yd

h = 12 yd

π = 3.14

Plug in the values

Lateral Surface Area of the cylinder = 2*3.14*6*12

Area = 452.16 yd²

a raffle ticket costs $1.50 how many tickets would i need to sell to make my target of $150?

Answers

hi

150/1.5 = 100  

so 100 tickets  

If a raffle tickets cost $1.50 and you need to make $150, you need to sell 100 tickets to meet your goal.

The circumference of a circle is 604 cm. What is the diameter of the circle?

Answers

Step-by-step explanation:

The Circumference is:

[tex]c = 2\pi \: r[/tex]

Radius r is:

[tex]r = \frac{d}{2} [/tex]

So,

[tex]c = \pi \: d \\ d = \frac{c}{\pi} \\ d = \frac{604}{\pi} \: cm[/tex]

is -0.4 a rational number?​

Answers

No it is not hope this helps

Could I get some help here
I literally have the iq of a 2nd grader

Answers

Answer:

x = 16

Step-by-step explanation:

Supplementary angles = 180

K + L = 180

137 + 3x - 5 = 180

132 + 3x = 180

3x = 180 - 132

3x = 48

x = 48/3

x = 16

I dont know i need help please

Answers

Answer:

C

Step-by-step explanation:

PLZ help will mark the brainliest!!!!

Answers

Answer:

The answer is 0

Step-by-step explanation:

2x+15=x+15

    -15  -x

x=0

Find the volume of the sphere in terms if the diameter is 15

Answers

Answer:

1767.14587

Step-by-step explanation:

V≈1767.15

V=4/3 π r³

d= 2 r

V= 1/6π d³ = 1/6.π.15³≈1767.14587

If 5 shirts and 5 sweaters cost $205, and 6 shirts and 9 sweaters cost $294, what is the cost of one shirt and what is the
cost of one sweater?

Answers

Answer:

one shirt 25.00 one sweater 16.00

Step-by-step explanation:

$\text{one shirt: }\$25,\text{ one sweater: }\$16$

Let x be the cost of one shirt and y be the cost of one sweater; then

5x+5y6x+9y=205=294

The augmented matrix for this system of equations is

[5659205294]

Using Gaussian elimination, divide row one by 5 to get

[161941294]

Multiply row one by −6 and add the result to row two to get

[10134148]

Divide row two by 3 to get

[10114116]

After back substitution, y=16 and x=25.

The cost of one shirt is $25 and cost of sweater is $16.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the cost of one shirt and y be the cost of sweater.

5 shirts and 5 sweaters cost $205

5x+5y=205...(1)

6 shirts and 9 sweaters cost $294

6x+9y=294...(2)

Multiply equation (1) with 6 and equation (2) with 5.

30x+30y=1230..(3)

30x+45y=1470...(4)

Subtract 3 and 4

30y-45y=1230-1470

-15y =  -240

Divide both sides by 15

y=240/15

y=16

Now plug in y value in any of the equation

5x+16(5)=205

5x + 80 = 205

5x = 125

Divide both sides by 5

x=25

Hence, the cost of one shirt is $25 and cost of sweater is $16.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Pls help me no links I am serious

Answers

Answer:

March

Step-by-step explanation:

It’s March because in February there were 45 or so students, but then in March it went all the way up to 120. So, 120 - 45 = 75, which is the most amount of students increasing in a month.

I hope this helped and it wasn’t so confusing!!

Help me find the answer please

Answers

Answer:

60

Step-by-step explanation:

m∠1=(55+65)/2=60

The number of bacteria in a petri dish triples every month, if the dish started with 25 bacteria, how many will there be an 8 months?

Answers

Answer:

600

Step-by-step explanation:

25x3 (per month) therefore it would be 75 times 8

Answer:

164025

Step-by-step explanation:

Learning Task 6: Find the missing terms.
1. 2, 2, 4, 12,_,_
2. 1, 2, 4, 8,_,_
3. 1,3,9, 27, 81,_
4. 1,5, 25, 125,_
5. 70 15, 22,_,42



pasagutan po Yung may space
ibrabrainliest ko ​

Answers

Answer:

4. 1,5, 25, 125,_

Step-by-step explanation:

нокинццлаоагсгг вши:)

Can someone please help me please

Answers

Your answer would be 5

Answer:

5

Step-by-step explanation:

Joseph and Ryan have 84 cards to sign. Joseph sins 1/4 of the cards. While Ryan signs 3/7. How many cards are left to be signed?

SIDE NOTE: PLEASE BE FAST!!

Answers

Answer:

27 cards left to be signed

Answer:

27 cards

Step-by-step explanation:

first we need to find what 1/4 of 84 is which will be 21 then we need to find what 3/7 of 84 is which will be 36 now we add the two getting 57 and then subtract 57 from 84 leaving us with 27 cards left. hope this helps.

Two of Mr. Evan's Earth science classes have 23 students each. Box plots for recent test scores for these two classes are
displayed
Third Period

Answers

The Statement A which says that the mean of the two data sets are equal is the correct statement.

What is box plot?

A boxplot is a standardized way of displaying the distribution of data based on a five number summary minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

According to the given problem,

We can notice from the two box plots that the mean for both the box plots is less than 80 but greater than 75.

Hence, we can conclude that the mean of the two data sets are equal.

Learn more about box plots here: https://brainly.com/question/12591498

#SPJ2

Can someone help me plsssss I’ve been struggling

Answers

I can’t see it








.........

Answer: YES

REASON: Since a rectangle is made of two right triangles then a rectangle inscribed in a circle must have its diagonal as the diameter of the circle.

17 A plank of wood is 3.6 metres long. 85 cm is sawn off.
How long is the remaining plank?
help please if yo help she will marry you ​

Answers

Answer:

2.75

Step-by-step explanation:

So lets work this out:

First, we will need to convert 85 cm to meters. That would be 0.85 meters.

Now we can take 0.85 meters and subtract it from 3.6. This equals 2.75.

A plank of wood is 3.6 meters long. 85 cm is sawn off.  How long is the remaining plank? 2.75 meters

Also no thank you I am a lady

Anyone know how to answer this question

Answers

its b:)! hoped this helped<3
Other Questions
Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. Thisweek he sold a car for $35,450.A) How much commission did he earn this week?B) What did he earn in TOTAL this week? carla has a red shirt, a pink shirt, and a white shirt. She has blue jeans, yellow jeans, and black jeans. She also has solid colored shoes and striped colored shoes. How many different combinations can she make? Provide possible solutions or strategies for managing a problem of Ozone depleton Please answer this for 15 points!!! Stuck on this foreverThe model shows a rectangular prism made up of cubes with an edge length of 1/2meter. Part A Kate finds the volume of the prism by counting the unit cubes. She counts the number of cubes in the bottom layer. She says since there are 3 layers, there are 144 unit cubes, and the volume of the prism is 144 cubic meters. Is Kate correct? Fill in the blanks to explain your answer.The bottom layer has _______ unit cubes. The prism is made up of a total of _______unit cubes. The volume of a single unit cube is________cubic meter, so the volume of the prism is_______cubic meters. Kate________correct. Refer again to the income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statement. Note that both companies have the same sales and net income. Answer questions (1) - (3) that follow, assuming that all data for the coming year is the same as the current year, except for the amount of sales. 1. If Cover-to-Cover Company wants to increase its profit by $40,000 in the coming year, what must their amount of sales be A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you do not answer any of the questions correctly? Can i get help please and thanks What is an example of victimology? A victim's regular routine and mannerisms are analyzed. A suspect's habits and food preferences are analyzed. A list of victims is compiled and released to reporters. A suspect's childhood history is analyzed. Some to do. So do it. Complete the analogy: "English is to Americans as German is to _____" * The Quebec Act:made the French settlers very bitterdenied the right of citizenship to the people of New Francerestored rights to the people of New Francecreated tension between Canada and the United States 29. A box of tissues is in the shape of a rectangular prism. It measures 13 cm by 14 cm by 25 cm.What is the volume of the box? Please help, who knows Spanish good Which of these are responsibilities of the World Trade Organization? )CHECK ALL THAT APPLY) hint hint. guaranteeing equality in trade protecting consumers promoting trade in developed countries helping to establish fair prices resolving trade disputes which of these numbers are the largest 4.12 or 4.21 Why do you think the young man beauty is so important to Shakespeare . How -15 + 8 gives me 7 ???????? Single term algebraic expression is called?MonomialBinomialTrinomialNone of these also I am groot friend me 95 out of 1200 randomly selected people surveyed in the u.s said they would rather watch baseball on television than go to a game According to this survey most people in the u.s would rather ______. A- watch baseball on television than go to a game B- play baseball than watch a game C- go to a baseball game than I watch it on television PLEASE HELP!!!!Which bond would be the least polar?1) H-Br (hydrogen-bromine)2) H-F (hydrogen-fluorine)3) H-H (hydrogen-hydrogen)4) H-O (hydrogen-oxygen)