Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial.
\[x^2 + 22x + \underline{~~~~}.\]

Answers

Answer 1
121.

Check: x^2+22x+121=(x+11)^2
Answer 2

Answer: 121

Step-by-step explanation:

The formula for the square of sums is [tex](a+b)^2=a^2+2ab+b^2[/tex].

Applying the formula, we see that the only option for b is 11 squared, or 121.


Related Questions

The football team has a total of 20 jerseys. There are 8 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

40%

Step-by-step explanation:

:)

Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Calculate the mean and median without the outlier. Part D - How did the outlier affect the mean and median? Does the outlier have a greater effect on the mean or the median? Justify your answer with your calculations.

Answers

The outlier is 3, and the outlier has a greater effect on the mean because it is an average of all numbers where as the median is just the middle value in the data set. Everything else you can do on your own. To find the mean you add all the numbers up and divide by the total amount of numbers there are, the median you just cross one out from the left and then cross one out from the right and continue doing this until you are left with one number, or if you are left with two numbers you can add those two numbers up and then divide them by 2

Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat for snack

Answers

Answer:

Step-by-step explanation:

I believe the answer would be 1/4 of the sub. Because they asked about the whole sub. And it says he ate 1/4 of the amount of that half of the sub for snack. So out of the whole sandwich it would be 1/4!

If it’s not the answer your looking for you can take it off...

But...

Hope it helps

Half of the difference between -5 and three times a number is -13.
translate into an algebraic expression.

Answers

the answer is: -13=(-5-3x)/2

a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF


b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)

Answers

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. [tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

[tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?

Answers

Answer: The answer is 27

Given:

Mr. Roberts will drive 56 milesHe has 29 more miles to go

We will:

Subtract the total distance he plants to travel by the amount he has left.

Equation: [tex]\mathrm {56 - 29 = 27}[/tex]

Our answer is 27. Best of Luck!

I will give Brainlyest to the first person



A family gathered 12 seashells from the beach bringing the total number of seashells in their collection to 86
Which equation can be used to find, x, the number of seashells in the collection before the 12 were added?

Answers

Answer:

The first selection is the answer.

Step-by-step explanation:

x+12=86

The equation that can be used to find x is x + 12 = 86

A linear equation is of the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of seashells in the collection before the 12 were added.  Hence to find x, we use the equation:

x + 12 = 86

The equation that can be used to find x is x + 12 = 86

Find out more at: https://brainly.com/question/13911928

Brian bought a jacket that cost d dollars. He paid the clerk $60,00 He received $7.39
in change. How much did Brian pay for the jacket?

Answers

Answer:

52.61 is what Brian payed for the Jacket.

Step-by-step explanation:

52.61 + 7.39 = 60$ in total.

Answer:

ok so a jacket would never cost 60,00 i think you meant 60.00 so it would be $52.61 for the jacket

Step-by-step explanation:

Subtract 7.39 from 60

if you really did mean 60000 the answer would be 5992.61

Can someone please tell me if the following relations are functions please?

Answers

yes the first one is a function. The second one with the arrows is not.

why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1

Answers

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1

QUICK I REALLY NEED HELP

When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answers

Answer:

-5

Step-by-step explanation: Yeah i think its -5

A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?

Answers

Answer:

30 degrees

Step-by-step explanation:

What is the value of the function at x=-2

Y=-4
Y=0
Y=2
Y=3

Answers

Y=3 I took test and it’s right

A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total marbles?

Answers

Answer: 3:20

Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.

Find the 12th term of the geometric ouence 5, 15, 45,...

Answers

Answer:

295,245

Step-by-step explanation:

It is always multiplying by 3.

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245

Answer:

885735

Step-by-step explanation:

A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?


PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

75

Step-by-step explanation:

The answer is 75 because you have to cross mutiply:

1       3

25     x

3 x 25 is 75

(-2)^3=

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answers

Answer:

[tex]\left(-2\right)^3=-8[/tex]

Step-by-step explanation:

Given the expression

[tex](-2)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-2\right)^3=-2^3[/tex]

[tex]=-2^3[/tex]

[tex]=-8[/tex]       ∵  [tex]2^3=8[/tex]

Therefore,

[tex]\left(-2\right)^3=-8[/tex]

Sally spent a long time searching for the perfect tree. She could look in 6 stores in 45 minutes. If she shopped for 2 hours, how many stores did she visit?

Answers

Answer:

24

Step-by-step explanation:

Sally visited 16 stores when shopping for 2 hours.

Since Sally could look in 6 stores in 45 minutes. Hence:

Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.

Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes

Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores

Therefore Sally visited 16 stores in 2 hours.

Find out more at: https://brainly.com/question/24169758

A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, how many cups of pineapple should you use.

Answers

Answer:

You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Step-by-step explanation:

With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:

30 cups of orange juice → 18 cups of pineapple juice

 1 cup of orange juice    →                    x

x=(1*18)/30=0.6 cups of pineapple juice

According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year

Answers

Answer: Approximately 4.333 cubic miles

Explanation:

2008 - 2002 = 6 years have passed

In that time frame, we lost 26 cubic miles of ground water.

This means we lost about 26/6 = 4.333 cubic miles of ground water per year.

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)

16. What is P(red, yellow, blue)?

17. What is P(orange, yellow)?

18. P(green, blue, purple)?

19. P(pink)?

20. P(red, orange, yellow, green, blue, purple)?

Thank you!!

Answers

Answer:

I have the same questions and I got them right

Step-by-step explanation:

16. What is P(red, yellow, blue)?

P(red, yellow, blue)=  6/16= 3/8.

4/16+ 1/16+ 1/16= 6/16= 3/8

17. What is P(orange, yellow)?

P(orange, yellow)= 1/8

1/16+1/16= 2/16= 1/8

18. P(green, blue, purple)?

P(green, blue, purple)= 5/8

7/16+1/16+2/16= 10/16= 5/8.

19. P(pink)?

P(pink)=0

There is no pink color.

20. P(red, orange, yellow, green, blue, purple)?

P(red, orange, yellow, green, blue, purple)= 16/16= 1.

4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.

Hope it helps!!!

BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP

3r+4=qr-5p for r

Answers

Answer:

r = qr - 5p - 4

Step-by-step explanation:

3r + 4 = qr - 5p

Subtract:

3r = qr - 5p - 4

Divide:

r = qr - 5p - 4

Help!! I will mark brainiest!!

Answers

Answer:

b = 148.5052112

Step-by-step explanation:

To find the value of b we will use the trigonometry functions

∵ The triangle is a right triangle

∵ The measure of one of its acute angles = 68°

∵ The length of the side opposite to the angle of measure 68° is b

∴ The opposite side = b

∵ The length of the side adjacent to the angle of measure 68° is 60

∴ The adjacent side = 60

∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]

∴ tan(68°) = [tex]\frac{b}{60}[/tex]

→ Multiply both sides by 60 to cancel the denominator of the right side

∴ 60 × tan(68°) = b

∴ 148.5052112 = b

b = 148.5052112

Answer:

b = 148.5052112

Step-by-step explanation:

please help me out....​

Answers

Answer:

It is the first one, so

7u + 5v

Answer:

7u+5v (A)

Step-by-step explanation:

3u+4u=7u

7v-2v=5v

7u+5v

PLS GIVE BRAINLIEST

can someone help me with this asap.​

Answers

Answer:

fourth option

Step-by-step explanation:

Given

3x < - 9 ( divide both sides by 3 )

x < - 3

solution set is { x | x < - 3 }

Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:

1. The amount of plant food remaining in the container after each days study.

2. The height of the plant over time.

Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question

Determine the domain and the range for this relationship.


0≤y ≤6


0 ≤x ≤72


{0, 12, 24, 36, 48, 60, 72}


0 ≤x ≤6


{0,1,2,3,4,5,6}


{0,6,12,18,24,30}


0 ≤y ≤72

Answers

Answer:

Domain: [tex]0\leq x\leq 6[/tex]

Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]

Step-by-step explanation:

Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.

[tex]x[/tex] be the number of days that have passed.

Total amount of plant food used is 72 mm.

Number of days the experiment goes on is 6 days.

Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].

So, the function will be

[tex]y=f(x)=72-12x[/tex]

at

[tex]x=0,y=72[/tex]

[tex]x=1,y=72-12\times 1=60[/tex]

[tex]x=2,y=72-12\times 2=48[/tex]

[tex]x=3,72-12\times 3=36[/tex]

[tex]x=4,72-12\times 4=24[/tex]

[tex]x=5,72-12\times 5=12[/tex]

[tex]x=6,72-12\times 6=0[/tex]

Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].

Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].

What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)

Answers

Answer:

17

Step-by-step explanation:

24x+24=27x-27

51=3x

x=17

Complete the synthetic division problem below.
-1/ 2 8 6
What is the quotient in polynomial form?
O A. X-6
O B. X+6
C. 2x + 6
D. 2x-6

Answers

Answer:

c bc of -1/ 2 8 6 of you divide and then u multiple

The quotient of the synthetic division problem -1 | 2 8 6 in polynomial form is 2x + 6.

How to determine the quotient?

The synthetic division problem is given;

-1 | 2 8 6

Remove the number before the | sign

2 8 6

Remove the middle number;

2 6

Introduce a variable starting from an exponent of 0 (let the variable be x);

2x¹ 6x⁰

Evaluate the exponents;

2x 6

2x + 6

Hence, the quotient of -1 | 2 8 6 in polynomial form is 2x + 6.

Read more about synthetic division at:

brainly.com/question/10465785

#SPJ2

If you can, answer this please! Thank u!!!

Answers

Answer:

G

Step-by-step explanation:

LS and TD are in the same positions in the equation. S is the first letter and D is so they are equal to each other and the same for L and T

Find the slope of the line passing through the points (6, 1) and (6,-6).

Answers

Answer:

Slope = undefined

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(6, 1)

(6, -6)

1 - (-6)/6 - 6= 7/0

Slope = undefined

For reference:

0/x = 0

x/0 = undefined

Hope this helps!

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