Find the missing term: (x+3)² = x² + 6x + _____

Answers

Answer 1

Answer:

9

Step-by-step explanation:

The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:

(a + b)^2 = a^2 + 2ab + b^2

(x + 3)^2 = x^2 + 2(x)(3) + (3)^2

(x + 3)^2 = x^2 + 6x + 9

So, the missing term is 9.

Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:

(x + 3)(x + 3)

x^2 + 3x + 3x +9

x^2 + 6x + 9

By solving this way, you get the same answer.

Answer 2

Answer:

It would be 9.

Step-by-step explanation:

To do this, lets expand the equation (x+3)^2 by turning it into:

(x+3)(x+3)

Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:

1) First

2) Outer

3) Inner

4) Last

So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:

x^2 + ? + ? so far.

Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.

x^2 + 6x + ? so far.

Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.

x^2 + 6x + 9.


Related Questions

Differentiate 2x-4x^4

Answers

Answer:

2-16x^3

Step-by-step explanation:

need help please !!!!!!!!!!!!​

Answers

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

Combine like terms to simplify the expression below.
14x -(2x - y) - y
A 12x B 14x -y C 12x - y D 14x

Answers

Answer:

The answer is A: 12x Hope this helps!

A toy company is packaging its toy to be shipped. Each small toy is placed inside a cube- shaped box with side lengths of 1/8 in. These smaller boxes are then placed into a larger box with dimensions of 12in. X 4 1/2in. X 3 1/2 in.

Answers

Answer:

1512

189 in³

Step-by-step explanation:

Here is the complete question

A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.

a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?

b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box

A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box

volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³

volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³

189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512

b. 1/8 x 1512 = 189 in^3

Juan bought 5 cupcakes and 3 bearclaws for 45$. Lily bought 4 of the same cupcakes and 6 of the same bearclaws for 72$. What is the price of each item?

Answers

Answer:

Cup cakes= $3

Bear claws = $10

Step-by-step explanation:

Let the orice of cupcakes be x and the price of bear claws be y

5x+ 3y= 45

4x + 6y= 72

Multiply equation 1 by 4 and equation 2 by 5

20x + 12y= 180

20x + 30y= 360

-18y= -180

y= 10

Substitute 10 for y in equation 1

5x + 3(10)= 45

5x + 30= 45

5x = 45-30

5x= 15

x= 15/5

= 3

Hence the price of cup cakes is 3 and bear claws is $10

Is the relationship shown by the data linear if so model the data with an equation

Answers

It’s linear, option 3

anyone know how to do this?

Answers

Answer: A reasonable estimate of the minimum is 20.

16,4,1,...
Find the 6th term.

Answers

Answer:

1/64

Step-by-step explanation:

You divide by 4 each time.

It goes 16,4,1,1/4,1/16, 1/64 and so on

!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT

Answers

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

Question 1 of 10
Solve the proportion below.
-X/45=7/9

x=
O A. 5
B. 39
C. 35
O D. 43

Answers

Answer:

B. 35


Explaining:

-X/45 = 7/9

7/9= 0.777777777777778

-X/45 = 0.777777777777778

45 x 0.777777777777778 = 35

-X = 35

Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?

Answers

1/3 fraction of the cards is red

HELP DUE IN 15 MINS!

x=??

Answers

Answer:

7

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Use the Intersecting chord theorem;

Rule: (CE) * (EB) = (AE) * (ED)

CE = x

EB = 15

AE = 9

ED = 10

=> (x) (15) = (9) (10)

15x = 90

Now Divide each side with 15

=> x = 6

Hope this helps!

Need help ASAP! What is this

Answers

180 - 64= 116

116 divided by 4 = 29

x=29

Have a good day:>

Answer:

x = 29

Step-by-step explanation:

Supplementary angles add up to 180 degrees:

4x+64 = 180

Subtract 64 from both sides:

4x+64-64 = 180-64

4x = 116

Divide both sides by 4:

4x/4 = 116/4

x = 29

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

Answers

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

Find the value of x.
10
53
HELP PLEASE!

Answers

Answer:

13.3

Step-by-step explanation:

By using sinus rule

please help me asap im so confused ​

Answers

Answer:

RPT = 208

Step-by-step explanation:

Arc ST = 97                            Given

Arc RP = 180 - 97                   Straight line

Arc RP = 83

Arc PT = 125                          Given

Arc RPT = 125 + 83               Add the two arcs together.

Arc RPT = 208

27 miles per gallon 432 miles takes how many gallons

Answers

Answer:

16

Step-by-step explanation:

432/27=16

giving 15 points cause i rlly need help
Bob had 1/3 of a pizza left over. He ate 2/3 of the leftovers for lunch. How much
pizza did he eat for lunch

Answers

2/9 of the pizza C: if bob has 1/3 of the pizza left and he eats 2/3, then you take 2/3 of 1/3, so you multiply.

find y when x=-6 if y =15 when x =-5

Answers

Answer:

y = 18

Step-by-step explanation:

15/-5 = y/-6

cross-multiply:

-5y = -90

y = 18

sorry if the lighting is bad
it's about number lines
no links

Answers

1st graph all the negative & positive numbers

The opposite of 2 is -2 because it's a negative number ( opposite of 2 )

Express 0.74 as a percentage ​

Answers

Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

Answer:

74% (answer).

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%

perry bought 5 nectarines for $4. how many nectarines can amanda buy if she has 16$

Answers

Amanda can buy 20 nectarines with $16
Amanda buys 20 with $16

Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. How many weeks will Sadie have to work to earn enough to buy the pony?
A) 8 weeks
B) 10 weeks
C) 11 weeks
D) 12 weeks

Answers

Answer: C

Step-by-step explanation:

My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.

#[tex]AnimePower[/tex]

Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.

Answers

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

Answer:

The foam rolls across the lonely ocean. : Consonance  
I can't forget the letter that you sent last night: Consonance

In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance

Step-by-step explanation:

Hope this helps :D

62X + 310 =
2542 Find X

Answers

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

what times twelve is exactly 30
the answer is most likely a mixed number​

Answers

Answer:

2.5 or 2 and 1/2

Step-by-step explanation:

30/12 = 2.5

There are two wholes that fit in 30 with a remainder of half of a whole.

2.5 translates to 2 and 1/2

Answer:

Hello! answer: 2½

Step-by-step explanation:

Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!

which graph correctly represents
3x + y>72
A graph A
B. graph B
с graphic
D graph D

Answers

Answer:

The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right

Step-by-step explanation:

y > -3x + 7

The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right

Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey ll. 0 1 2 3 4 Number of Pets Part A How many people did Edward survey? Part B What is the mean number of pets?​

Answers

Answer:

i. 5 people

ii. Mean number of pets = 2

Step-by-step explanation:

i. From the information given in the question, the number of people surveyed by Edward is 5.

The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.

ii. The mean number of pets is the average number of pets among the people.

The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]

                                     = [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]

                                     = [tex]\frac{10}{5}[/tex]

mean number of pets  = 2

The mean number of pets is 2.

Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?

Answers

Answer:

B

Step-by-step explanation:

Not much to explain

a rectangle has sides of length 2 millimeters and 8.1 millimeters. What is the perimeter?​

Answers

Answer:

20.2 mm.

Step-by-step explanation:

2*2 + 2*8.1

= 4 + 16.2

= 20.2 mm.

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