The given expression represents the area. Find the side length of the square.

The Given Expression Represents The Area. Find The Side Length Of The Square.

Answers

Answer 1

9514 1404 393

Answer:

  (4x +5)

Step-by-step explanation:

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:

  √(16x²) = 4x

  √25 = 5

So, our first choice of side length for the square is ...

  s = (4x +5) . . . . . side length of the square

__

Using the above identity, we can verify that the square of this gives the right area:

  A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²

  A = 16x² +40x +25 . . . . . . as required


Related Questions

The equation y = 12x represents a proportional relationship. What is the
constant of proportionality? will give brainliest

Answers

Answer:

D

Step-by-step explanation:

Proportional relationships come in the form

[tex]y=kx[/tex]

and [tex]k[/tex] is the constant of proportionality. By comparing the general case [tex]y=kx[/tex] and your specific case [tex]y=12x[/tex], you can see that in your case [tex]k=12[/tex].

In the equation y = 12x the constant of proportionality is D. 12.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Let y = kx.

k = y/x.

Given, y = 12x.

12 = y/x.

So, the constant of proportionality is 12.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ5

Rewrite 8.24 × 10^6 in standard notation.

824,000
8,240,000,000
82,400,000
8,240,000

Answers

Answer:

The last choice 8,240,000.

Step-by-step explanation:

The exponent 6 tells us there are 6 digits after the first digit (8).

Answer is 8,240,000

find the measure of the line segment TV​

Answers

9514 1404 393

Answer:

  18

Step-by-step explanation:

When chords cross, the product of the lengths of the pieces is the same for each chord:

  EU·ES = ET·EV

  8·9 = (12x)(6x)

  72 = 72x^2

  x^2 = 1   ⇒   x = 1

Then the length of interest is ...

  TV = ET +EV = 12·1 +6·1

  TV = 18

a store sells tiles for $3.80 per square feet and an additional fee is $200 to install it what is the independent and dependent variable?​

Answers

Answer:

i tkinhk it 1.30

Step-by-step explanation:

-14 + 9x in standard form

Answers

Answer:

9x-14

Step-by-step explanation:

the format of the slope intercept formula mx+b

9x-14 in standard form. You’re welcome.

find an equation in standard form of the parabola passing through the points (0, - 1), (1, 5), (- 1, - 5)

Answers

Answer:

The equation of the parabola in standard is [tex]y=x^{2}+5x-1[/tex]

Step-by-step explanation:

The standard form equation of the parabola is:

[tex]y=ax^{2}+bx+c[/tex]

Using the three points we can find a, b and c.

Let's put the first point (0,-1)into the standard form equation.

[tex]-1=a(0)^{2}+b(0)+c[/tex]

[tex]c=-1[/tex]

Using the second point (1,5) and the value of c found above.

[tex]5=a(1)^{2}+b(1)+c[/tex]

[tex]5=a+b-1[/tex]

[tex]6=a+b[/tex] (1)

Finally using the las point (-1,-5)  

[tex]-5=a(-1)^{2}+b(-1)+c[/tex]

[tex]-5=a-b-1[/tex]

[tex]-4=a-b[/tex] (2)  

Solving the system of equations (1) and (2) we can find a and b.

[tex]6=a+b[/tex]

[tex]-4=a-b[/tex]

Adding both of them we have:

[tex]2=2a[/tex]

[tex]a=1[/tex]

And b = 5.

Therefore, the equation of the parabola in standard form will be.

[tex]y=x^{2}+5x-1[/tex]

I hope it helps you!  

The triple of the sum of two consecutive numbers is 99. Which is the greater of the two numbers.

Answers

Answer:

I have no idea Im so sorry i tried to understand all i could think of is x+y=99

10 of 14
A car travels 48 km in 33 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

Answers

Answer:

why in kilometers? 87.3 km/h

1) There are 56 people at a party. Each table has 8 seats. How many tables are
needed so all of the people have a seat?
56 +
= 8
6
54

Answers

Answer:

56 / 8

Step-by-step explanation:

Correlation and regression are concerned with (a) the relationship between two categorical variables. (b) the relationship between two quantitative variables. (c) the relationship between a quantitative explanatory variable and a categorical response variable. (d) the relationship between a categorical explanatory variable and a quantitative response variable.

Answers

Answer:

(b) the relationship between two quantitative variables

Step-by-step explanation:

Correlation and regression techniques can be explained as a statistical techniques which measures the degree and type of relationship that exists between two variables (dependent and independent). These evaluated variables must be quantitative in nature in other to apply thus statistical method of establishing relationship and making predictive analysis. The relationship may be univariate or multivariate in nature. The correlation and regression technique won't work on data presented or represented in categorical or labeled format. The relationship may be positive or negative with the correlation Coefficient measuring the strength of the relationship between the variables.

A car can travel 400 miles on 16 gallons of gasoline. How much gasoline will it need to go 275 miles?

Answers

Answer:

Step-by-step explanation:

400 ÷ 16 = 25.

16 ÷ 16 = 1.

1 gallon = 25 miles.

275 ÷ 25 = 11

In conclusion, the car used 11 gallons for 275 miles.

Hope this helps!

15r-15s=
can you help

Answers

Answer:

i dlnt know 15 I think not sure

Answer: 0 i guess i dont know

Step-by-step explanation:

line
Passing through (4,5) and perpendicular to
Equation y= -2x+3

Answers

Answer:

1/2x+3

Step-by-step explanation:

I graphed it

You went to the store and bought a pair of jeans for $22, new sneakers for $54 and some shirts for $12.99 each. You spent a total of $127.96. How many shirts did you buy?​

Answers

Answer:

4 shirts

Step-by-step explanation:

127.96 - 76 (54+22)

51.96 / 12.99 = 4

i will give brainliest<3

Answers

Answer:

4100

Step-by-step explanation:

If only the mens are 10%, The total is 100.

so we multiply 410 with 10 which gives 4100.

TRIGONOMETERY REVIEW PLEASE HELP DUE TOMMOROW

Answers

I’m pretty sure this is how you do these kinds of questions, but I may be entirely wrong, so don’t 100% trust me on this one

With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes.With a significance level of 5 percent, test the claim that a single line causes lower variation among waiting times (shorter waiting times) for customers. Degrees of freedom test statistic pvalue accept or reject

Answers

Answer:

We reject H₀ we found that at 5% significance level the single file causes shorther waiting times

Step-by-step explanation:

We will develop a chi-square test since it is a standard deviation test.

Conditions for chi-square test

1.-Population follows a normal distribution

2.-We have a random sample

Therefore

Test Hypothesis

Null hypothesis                           H₀            σ   =  7,2

Alternative hypothesis               Hₐ            σ   <  7,2

So it is a one tailed-test to the left

Sample size      n  = 25

Then df  =  25 - 1      df  = 24

Significance level  α = 5%    α = 0,05

With   df = 24  and   α = 0,05  we find

Χ₀ = 36,415  

Computing  X(s)

X(s)  = ( n - 1 ) * σ² / (7,2)²

X(s)  =  24* (3,5)² / 51,84

X(s)  =  294/51,84

X(s)  =  5,67

Comparing     Χ₀     and      Χ(s)

X(s) <   Χ₀

So X(s) is in the rejection region and we reject H₀

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Find the value of x by filling in the blanks in the provided statement - reason solution.

I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!

Answers

Answer:

30

Step-by-step explanation:

Maria receives a certain percentage, %, as a bonus, for each pair of shoes she sells. Last week she sold $10000 of shoes and earned $270 as a bonus. What was her bonus percentage?

2.7%
27%
2.07%
10%

Answers

——-It Should be 2.7

2. A company manufactures baseball bats. The fixed expenses are $58,780 and the variable expenses are $28 per baseball bat produced. How many bats did they produce if their expenses total $406,960?

Answers

Answer:

12,435 bats

Step-by-step explanation:

We need to figure out how many bats were produced.

First let's write the equation. Cost is $28 for each bat, and we start with fixed expenses of $58,780

y=28x + 58780

We are given y, total expenses at 406,960

so 406,960 = 28x + 58780

subtract 58780 from both sides

406,960 - 58,780 = 28x

348,180 = 28x

divide both sides by 28

12,435 = x

This means they produced 12,435 bats.

please give thanks by clicking the heart button :)

Let n1=50​, X1=10​, n2=50​, and X2=30. Complete parts​ (a) and​ (b) below. a. At the 0.10 level of​ significance, is there evidence of a significant difference between the two population​ proportions? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≤π2 H1: π1>π2 B. H0: π1≠π2 H1: π1=π2 C. H0: π1≥π2 H1: π1<π2 D. H0: π1=π2 H1: π1≠π2 Your answer is correct. Calculate the test​ statistic, ZSTAT​, based on the difference p1−p2. The test​ statistic, ZSTAT​, is nothing.

Answers

Answer:

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

There is a difference between the two Population proportions

Step-by-step explanation:

Step(i):-

Given first sample size (n₁)  = 50

Given  proportion of the first sample p⁻₁= 0.2

Given second sample size (n₂)  = 50

Given proportion of the second sample p₂⁻ = 30/50 = 0.6

Null Hypothesis : H₀: p₁⁻=p₂⁻

Alternative Hypothesis : H₁: p₁⁻≠p₂⁻

Step(ii):-

Z-statistic

             [tex]Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }[/tex]

Where

         [tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }[/tex]

        [tex]P = \frac{50X0.2+50X0.6}{50+50} = 0.4[/tex]

Z-statistic

       

      [tex]Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }[/tex]

     Z =  -4.089

Level of significance =0.10

Z₀.₁₀ = 1.645

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

Final answer:-

There is a difference between the two Population proportions

   

     

       

Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?

Answers

Answer:

3 milkshakes 3 sundaes

Step-by-step explanation:

First write the equation.

y = total cost

x = cost of sundae

z = cost of milkshake

21=2x+5z

x+z=6 or x = 6-z

substitute in x = 6-z into the first equation

21 = 2(6-z) + 5z

21 = 12 - 2z + 5z

21 = 12 + 3z

subtract 12 from both sides

21 - 12 = 12 - 12 + 3z

9 = 3z

divide both sides by 3

3 = z

so she bought 3 milkshakes.

That means x+z = 6 and z=3 so

x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.

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Answer:

she bought 3 sundaes and 3 milkshakes

Step-by-step explanation:

let's call the amount of milkshakes M.

let's call the amount of sundaes S.

you know that in total, there are 6 children.

so, you can make the following equation:

M + S = 6

if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m

if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S

you also know that Mrs. Browning spent 21$ in total.

so, you can make the following equation:

5m + 2S = 21

this is a system of equations.

using the first equation, you know that M = 6 - S

you can substitute M for 6 - S in the second equation

5m + 2s = 21

5(6 - s) + 2s = 21

30 - 5s + 2s = 21

30 - 3s = 21

30 = 21 + 3s

30 - 21 = 3s

9 = 3s

3 = s

now that you know how many sundaes there are, you can substitute that into the first equation:

m + s = 6

m + 3 = 6

m = 6 - 3

m = 3

Quick I need help plz

Answers

Answer:

It's answer is 1/3 .

Hope it helps have a great time :)

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

The easiest way to get the answer is to convert the decimal form into its fraction form. All you have to do is to take note of the number of decimal places in order to raise the number into the power of ten. 0.3 has one decimal place, thus, you can use 10.

[tex]\frac{3}{10}[/tex]

Since there's no common factor, there's no cancellation needed. So, the answer is [tex]\frac{3}{10}[/tex].

Let' check.

If you divide 3 by 10, you will get the answer 0.3.

3 ÷ 10 = 0.3 (It's correct)

You can get equivalent fractions to this by multiplying or dividing the numerator by the same number.

Example: [tex]\frac{3}{10}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{6}{20}[/tex]

You may also use the fraction [tex]\frac{6}{20}[/tex] for your answer as this is also equivalent to 0.3.

What is the equation of the line written in slope intercept form

Answers

Answer:

Where is the graph, once you upload it, I will change the answer

Step-by-step explanation:

Which are equivalent expressions?
Check all that are true.

A)8xy = 4x + 4y

B)x + 6x = 7x

C)x + 6y = 6xy

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

Answers

Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

help me please i really need help

Answers

Answer:

8

Step-by-step explanation:

Since the sides are congruent, the angles are as well. So if you draw point W along line RT, then the angle W and S are the same, so the length is also the same, which is 8.

please hit the heart button :)

Answer:

6

Step-by-step explanation:

i need help 17 + p > 18

Answers

Answer:

P>1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

P+17>18

Step 2: Subtract 17 from both sides.

P+17-17>18-17

P>1

Solve the following systems of equations algebraically. Write your answer in the form of (x, y).
y = 3x + 5 and y = x + 19

Answers


Let's solve your system by substitution.
y
=
3
x
+
5
;
y
=
x
+
19

Step: Solve
y
=
3
x
+
5
for y:
y
=
3
x
+
5

Step: Substitute
3
x
+
5
for
y
in
y
=
x
+
19
:
y
=
x
+
19
3
x
+
5
=
x
+
19
3
x
+
5
+

x
=
x
+
19
+

x
(Add -x to both sides)
2
x
+
5
=
19
2
x
+
5
+

5
=
19
+

5
(Add -5 to both sides)
2
x
=
14
2
x
2
=
14
2
(Divide both sides by 2)
x
=
7

Step: Substitute
7
for
x
in
y
=
3
x
+
5
:
y
=
3
x
+
5
y
=
(
3
)
(
7
)
+
5
y
=
26
(Simplify both sides of the equation)

Answer:
x
=
7
and
y
=
26

Which product is positive?

Answers

Answer:

The 3rd one

Step-by-step explanation:

Can have brainliest

Answer:

The 3rd one

Step-by-step explanation:

hope it helps

also can i have brainlist

Let's compare two ant colonies: Ant Colony A and
Ant Colony B. We will use a function, a table, and a
graph to compare these two ant colonies.
Ant Colony A: The function a(x) = 210(1.12) represents
the number of ants in Ant Colony A, x days after an
experiment starts. There is also a table provided for Ant
Colony A on the whiteboard.
Ant Colony B: There is a graph on the whiteboard that
represents the number of ants in Ant Colony B during
the same time period.

Answers

Answer:

1.  There will be 20 more ants in Colony A than in Colony B

2.  2.35.2^x

Sorry but that's all I can give you.

Step-by-step explanation:

Answer:

3 is 30 i think

Step-by-step explanation: i am in that class i just used calc on first two numbers like the teacher told us to do U^U

hope i helped btw this is tiffany

Other Questions
Multiple ResponseIdentify one or more choices that best complete the statement or answer the question.Which of these statements is TRUE of the Niger river which is the origin of the country'sname? Select ALL that apply.The area around the delta is NOT suitable for agriculture,It has an inner delta in the middle of the river where it divides into smaller bodies of water asit meets with a larger body of water.It is navigable.It is the largest river in West Africa. What do you think is responsible for the color produced in the flame, the metal atom or what is attached to the metal atom? Hint: The metal atom comes first in the formula and the name of the compound. Credit cards can helptime regularly.when paid off onBuild credit historyact as a form of identificationlower your debtbalance your checking account The Framers of the Constitution were supporters of the principle of Federalism because they believed it -A would give the Federal government the power it needed to establish a peaceful countryB. keep the president from abusing his powersC. shared government power between the Federal government and State governmentsD. allowed the states to propose bills to the U.S. House of Representatives to become laws find the measure of the line segment TV PART B: Which phrase from the text best supports the answer to Part A? THE BATTLE OF GETTYSBURG Why are physical fitness attitudes important?A.They are able to change our moods.B.They reflect our internal ethics.C.They show others how we feel.D.They influence our activity levels. What is an advantage of portrait orientation for portrait photography (photos of people)? The composition shows more context. The composition places attention on the foreground. The composition minimizes the background. All of the above Name and explain the three actions of the penitent in the Sacrament of Reconciliation A singer and a producer each wrote songs for an upcoming album. The singer wrote 6 fewer than twice the number of songs that the producer wrote. They wrote a total of 54 songs. How many songs did the singer and producer wrote? Help!!!!!:)Which belief is important to all Muslims?A. There is only one true God.B. Muhammad is God's only prophet.C. Women cannot become Muslims.D. Non-Muslim books should be destroyed. Fill in the blankDNA contains genes that can be read to create ----- that directs the ribosome to build certain ----- as needed by specific cells or situations. Two copper spheres are currently 1.2 meters apart. One sphere has a charge of +2.2 x 10-4 C and the other has a charge of -8.9 x 10-4C.What is the force between the charged spheres?Is the force attractive or repulsive? Accents Associates sells only one product, with a current selling price of $150 per unit. Variable costs are 30% of this selling price, and fixed costs are $19,600 per month. Management has decided to reduce the selling price to $145 per unit in an effort to increase sales. Assume that the cost of the product and fixed operating expenses are not changed by this reduction in selling price. At the current selling price of $150 per unit, the dollar volume of sales per month necessary for Accents to break-even is: 10 of 14A car travels 48 km in 33 minutes.What is its average speed in km/h?Give your answer rounded to 1 decimal place. With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes.With a significance level of 5 percent, test the claim that a single line causes lower variation among waiting times (shorter waiting times) for customers. Degrees of freedom test statistic pvalue accept or reject -5xyz + 7xy - xyz - 5xy What are some examples of conflicting motivations a character might have that also seem realistic? Heres a graph of a linear function. Write the equation that describes that function. As a result of President Jackson's veto of its charter, the Bank of the United States