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

can anyone help me solve this twenty points if you solve it

Answers

Answer:

Option d is the ryt answer.

Point slope form:

y-y1 = m(x-x1)

Slope intercept form:

y = mx+b

Question

_______ is a solution to the equation 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7.
A.- x = 20
B.- x = 10
C.- x = 80

Answers

Answer:

C

Step-by-step explanation:

Answer:

C.- x = 80

Step-by-step explanation:

Ben is going to an amusement park with his scout troop. He has $80 in his wallet. If admission costs $18.95, a book of ride tickets costs $26.50, and lunch costs $9.20, round each amount to the nearest dollar to find out about how much Ben will have left to buy a souvenir. A. $15 B. $25 C. $32 D. $38

Answers

Answer:

B

Step-by-step explanation:

because thats what google say lol

Simplify 10cm:30cm
Simplify 2cm:1m

Answers

Step-by-step explanation:

Simplest form=10/30=1/3

=1cm:3cm

Simplest form=2cm:1m

1m=100cm

2:100

2/100=1/50

1cm:50cm

Answer:

Simplest form=10/30=1/3

=1cm:3cm

Step-by-step explanation:

5÷4/9 help mee :_<<<<<<​

Answers

Answer:

45/4 I think

Step-by-step explanation:

you would do keep flip switch

so 5 would be 5/1, flip 4/9 to become 9/4 then multiply 5/1 by 9/4

hopefully this helps you

Answer:

5 divided by 4/9 equals 45/4, or 11.25

Step-by-step explanation:

HELP :/ At the local pet store, Bloodfin Tetra cost $1.50 each and Angelfish cost $4.75 each. If Sarah bought 8 fish for a total cost of $21.75, not including tax, how many of each type of fish did she buy?

Answers

Answer:

Sarah bough 3 Angelfish and 5 Bloodfin Tetra

Step-by-step explanation:

Let a be the number of Angelfish fish and

b be the number of Bloodfin fish

Then according to the given statements

we get the following equations

[tex]a+b = 8\ \ \ Eqn\ 1\\4.75a+1.50b=21.75\ \ \ Eqn\ 2[/tex]

From Equation 1

[tex]a = 8-b[/tex]

Putting in equation 2

[tex]4.75(8-b)+1.50b = 21.75\\38-4.75b+1.50b = 21.75\\38-3.25b = 21.75\\-3.25b = 21.75-38\\-3.25b = -16.25\\\frac{-3.25b}{-3.25} = \frac{-16.25}{-3.25}\\b = 5[/tex]

Putting b=5 in equation 1

[tex]a+5 = 8\\a = 8-5 = 3[/tex]

Hence,

Sarah bough 3 Angelfish and 5 Bloodfin Tetra

Which equation could represent the relationship shown in the scatter plot?
y=52x−1
y=3x
y=12x+7
y=−x+8

Scatter plot with x axis labeled variable x and y axis labeled variable y. Points go from lower left to upper right.

Answers

Y=12x+7 I think I’m not smart I tried tho

Answer:

y=1/2x+7

Step-by-step explanation:

How many solutions does the equation have?
x^4 + 7x^2 – 144 = 0


Answers

Answer:

The equation has no real solutions. It has 2 imaginary, or complex solutions.

Step-by-step explanation:

help me please.....​

Answers

Answer: I believe its Option 2

Step-by-step explanation: Sory if im wrong

Answer: y= -x^2+4
——
1. Write down the formula:
y=a(x-h)^2+k

2. Find the coordinates.
(H, K is the vertex form)
H, K= (0,4)
X, Y= (1,3)

3. Plug in the numbers into the formula
y=a(x-h)^2+k
3=a(1-0)^2+4

4. Solve for “a”
a= -1

Answer: y= -x^2+4

Pssst.... you can also use Desmos to help you with graphs. :)
Also Desmos is a great way to double check your work.
It is y= -x^2+4 because if you put it into Desmos it gives you the same coordinates and the same graph.

I hope this helped you!

7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best models this situation? I need a Answer fast please.

Answers

Answer:

I don't the answer but the next person will answer this right.

4 and 2/3 divided by 1/2

Yeah, I'll give brainliest if you answer other questions too. Basically doing an assignment for brainliest.

Answers

9 and 1/3




Division of fractions includes three major steps. Keep the first number, change the division symbol to multiplication, and find the reciprocal of the last number. If you do all these steps correctly (make sure to change the mixed number to an improper fraction), you should get the equation 14/3 x 2/1 = 28/3. 28/3= 9 and 1/3. Thus, the answer is 9 and 1/3.


Please mark me brainliest I hope my explanation helped :)

Answer:

Exact Form:

[tex]\frac{28}{3}[/tex]

Decimal Form:

9.3¯ (where the three is repeating)

Mixed Number Form:

[tex]9\frac{1}{3}[/tex]

4x²-6xy
PLZ
HELP
I
GIVE
5
STARS

Answers

yep I get the same thing what the other person is right

Can anyone please help me with #30? :(

Answers

Answer:

See below.

Step-by-step explanation:

30.

E(1, 2), F(5, 6), G(3, -2)

a)

H, midpoint of segment EG

H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)

J, midpoint of segment FG

J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)

b)

Show that segment HJ is parallel to segment EF.

Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.

slope of segment HJ:

slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1

slope of segment EF:

slope EF = (6 - 2)/(5 - 1) = 4/4 = 1

slope HJ = slope EF = 1

Segments HJ and EF are parallel since their slopes are equal.

c)

Show HJ = (1/2)EF

We use the distance formula to find the lengths of segments HJ and EF.

length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)

length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)

HJ = (1/2)EF

Substitute the lengths we found just above for HJ and EF:

2sqrt(2) = (1/2)[4sqrt(2)]

2sqrt(2) = 2sqrt(2)

The two sides are equal, so we have proved that HJ = (1/2)EF.

The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the (instantaneous) rate of change of the volume with respect to when = 3 ℎ.

Answers

The correct structure of the question is as follows:

The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.

Answer:

Step-by-step explanation:

Given that:

f(x) = x^3

Then;

V = x^3

The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V

dV/dx = 3x^2

Now, at the moment when x = 3;

dV/dx = 3(3)^2

dV/dx = 3(9)

dV/dx = 27 cubic inch per inch

Suppose it is at the moment when x = 9

Then;

dV/dx = 3(9)^2

dV/dx = 3(81)

dV/dx = 243 cubic inch per inch

The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.

10:5
5:2
2:5

Answers

Answer:

2:5

Step-by-step explanation:fraction sighn is equivilent to ratio sighn.

Sierra plays a hockey video game. She earns 5 stars for
every goal she scores and loses star every time she
misses the goal. She scores 4 goals and misses

Answers

I cant give you the answer because you didn’t finish your question, however I can tell you she has at most 20 starts. 4 goals = 20 stars. Subtract the number of goals she missed and you will have your answer for the total number of goals.

Answer:

the answer is 16

Step-by-step explanation:

Let the number of games, `x`, and the number of rides, `y`



For `x+4y=28`, what is the slope of the graph?

Answers

-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7

-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7

What is the measure of angle x°?
pls answer real quick 20 points

Answers

Answer:

30

Step-by-step explanation:

A triangle has a total degree of 180. We already have 150(from the 60 and the right angle) 180-150 is 30

Answer:

Its 30 btw :D

Step-by-step explanation:

In Josie's garden, the ratio of zinnias to petunias is 5:3. Which sentence correctly describes the ratio? A For every 5 zinnias, there are 3 petunias. B For every 3 zinnias, there are 5 petunias. C For every 8 petunias, there are 5 zinnias. D There are 35 as many zinnias as petunias.

Answers

Answer: A For every 5 zinnias, there are 3 petunias.

Step-by-step explanation:

STEP 1

A ratio  compares the value of one thing and another thing  in the same unit by expressing how many times  a number of items are contained in another comparing item . it is usually expressed using the  colon : as in a: b or "to" as in a to b.

STEP 2

in Josie's garden, the ratio of zinnias to petunias is 5:3.

Here, the ratio 5:3 compares and  expresses how many times the number of petunias are contained in the number of zinnias.

which means that For every 5 zinnias, there are 3 petunias.

help meeeee prettty pleaseee fastttttt

Answers

Answer:

D

Step-by-step explanation:

Given

y³ = 125 ( take the cube root of both sides )

[tex]\sqrt[3]{y^3}[/tex] = [tex]\sqrt[3]{125}[/tex]

y = 5 → D

factor the polynomial
X^2-5x+4
i’m a little confused on the process to get the answer pls help :)

Answers

Answer:

(x-4)(x-1)

Step-by-step explanation:

So you need 2 numbers that add up to -5x and add up to 4.

Since the product of two numbers is positive and the sum is negative, you can determine that both numbers are negative. Now if this is the case, then you can factor and you'll get

(x-4)(x-1)

The Kennedy Middle School cafeteria charges students $3 for 1 6 of a pizza. What is the cost per pizza?

Answers

Answer:

3*16=48

Step-by-step explanation:

If 1/16th of a pizza is 3 dollars, 1/16*16=1    3*16=48

Therefore,

1 pizza is $48

You really paying that much for one pizza

18 is answer i think

Find the least common multiple of 12 and 18?

Answers

36 is the correct answer

Mr. Kimball sells computer software. He earns a base salary of $41,250 and 8% commission on his sales. Write an equation to represent Mr. Kimball's total pay p after selling d dollars of software.

Answers

Answer: p = 41250 + 0.08d

Step-by-step explanation:

From the question, we are informed that Mr Kimball sells computer software and that he earns a base salary of $41,250 and 8% commission on his sales.

The equation to represent Mr. Kimball's total pay p after selling d dollars of software will be:

p = 41250 + (8% × d)

p = 41250 + (0.08 × d)

p = 41250 + 0.08d

461x84 in partial produts

Answers

Answer:

38724 is the answer but kinda confused on what u mean

Step-by-step explanation:

2(x2 + 6) – 3 vy when x = 3 and y = 64.

Answers

Answer:

73

Step-by-step explanation:

you would do distributive property we know x= 3 so on the inside would be 32 now since we are doing distributive property you multiply 32x2 and 6x2

then you add them together and after you subtract 3 from 76 which = 73

the area of a rectangle is 177 square meters the width is 9 meters what is the length of the rectangle

Answers

Answer:

19.67

Step-by-step explanation:

divide 177 by 9. the answer is 19.66666667, but you might have to round ;)

A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning

Answers

Answer:

yes

Step-by-step explanation:

a,p,e,x

say they wanna read my mind.. they really wanna read my mind.. telling you rn all you’ll find is a lost soul rich and blind

Answers

They want to read my mind they really want to read my mind.

Four identical right triangles whose sides measure 5x, 12x, and 13x are arranged to form a small square inside a large square, as shown. The perimeter of the large square is 17 units. What is the perimeter of the small square? Explain.

Answers

Answer:

The perimeter of the small square is approximately 9.154 units

Step-by-step explanation:

The given parameters are;

The sides of the four identical right triangles = 5·x, 12·x, and 13·x,

The perimeter of the large square = 17 units

Therefore, we have;

The hypotenuse side of the right triangles = The longest side = 13·x

The sides of the large square are formed by the hypotenuse sides of the right triangle

Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units

x = 17/52 ≈ 0.3269

x ≈ 0.3269 units

The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x

∴ The sides of the small square = 7·x = (7 ×  0.3269) units ≈ 2.2885 units

The perimeter of the small square = 4 × The sides of the small square

The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units

The perimeter of the small square ≈ 9.154 units.

Other Questions
You are walking from home to music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home. How much farther do you have to walk [PICTURE ATTACHED] sigh, another variability one. if u get it correct, ill make you brainliest! :) What does the author say is "the emotional heart of the book"?a. Scout the feisty, fearless characterb. The relationship between Atticus and Scoutc. The story of Scout's initiation and maturity into the real worldd. Tom Robinson's unjust, fateful ending Choose the items that CORRECTLY describe an aspect of the building of the First Transcontinental Railroad. Student Response It crossed the Rocky Mountains. Large number of Irish immigrants were used in construction going westward. It crossed the Appalachian Mountains. The Union Pacific Railroad used mostly Chinese labor. The Central Pacific Railroad built track from west to east. Large numbers of Japanese immigrants were used in eastward construction Construction was completed before the end of the Civil War. The Central Pacific and Union Pacific railroads met at Promontory Point, Utah, completing the project. Solve the system of equations -6y+11x=-36 -4y+7x=-24 x=y= Read the excerpt from The Riddle of the Rosetta Stone by James Cross Giblin. From his studies of Coptic, Champollion knew that the Egyptian word for "sun" was pronounced rah. He wrote down the first two letters of that sound, RA. Next he put a question mark for the unknown middle hieroglyph. Then, at the end, he wrote SS, the sound of the last two hieroglyphs. He studied the combination: RA ? SS. Suddenly he remembered a famous pharaoh whose name appeared in ancient Greek chronicles and also in the Biblical Book of Exodus: Rameses, or Ramesses. Could this be a hieroglyphic representation of Ramesses' name? Based on the excerpt, what detail did Champollion need to conclude that the hieroglyphics might represent Ramessess name? the pronunciation of the Egyptian word for sun the meaning of the unknown hieroglyphic the dates that Ramesses ruled Egypt the part of the Bible in which Ramesses appeared .***6. find the focal length of alens of power-2.0D. what type of lens is this? according to get your zzzzzs! by kathiann kowalski and marcia lusted, in what ways does lack of sleep affect the human body? Which molecule has the strongest forces of attraction between molecules? An architecture firm earned earned $2320 for architecture services provided with the fee to be paid in the future. No entry was made at the time the service was provided. If the fee has not been paid by the end of the accounting period and no adjusting entry is made, this would cause:________.A) revenues to be understated B) revenues to be overstated C) liabilities to be understated. D) net income to be overstated. Hypothesis: If the starting height of a sloped racetrack is increased, then the speed at which a toy car travels along the track will ________ because the toy car ____ ILL GIVE YOU BRAINLEST!! why did the british take tough measures against the Muslim cummunity after the war of independence, descriptive please A single bus fare costs $2.35. A monthly pass costs $45.75. Celine estimates that she will ride the bus 25 times this month. Kamal estimates that he will ride the bus 18 times. should they both buy monthly passes? Explain. Actividad 12 The people below are on vacation. First, complete the questions about them and their trip by circling the correct verbs. Then, answer the questions in complete sentences .HELP PLZ!! Answer this answer correctly and you'll get 100 points + brainiest:Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account?Part A: Which equation represents the situation?A. 3m + 54 = 381, where m represents the amount originally in his accountB. 3(m + 54) = 381, where m represents the amount originally in his accountC. 3m 54 = 381, where m represents the amount originally in his accountD.3(m 54) = 381, where m represents the amount originally in his account Part B: Complete the statement to represent the solution of the equation in context.Marcellus originally had $___________ in his account. Harry and Selma start driving from the same location. Harry drives 42 miles north and Selma drives 144 mies east. How far apart are Harry and Selma when they stop? (-1, 4) and (0,-1) writing out linear equations giving two points HELPP!!! ASAP!!!! BRAINLIEST!!!Complete the following sentences. Energy is required to _______ bonds in a molecule and released when bonds are _______. I will give brainliest answer to these questions