Suppose that the area of a square lawn is 4x^2 + 16x + 16. What is the length of one side of the lawn?

Answers

Answer 1

Answer:

2x+4

Step-by-step explanation:

remember the formula (a+b)^2=a^2+b^2+2ab

in this case, 4x^2 would be a^2, 16 would be b^2, and 16x would be 2ab

so, the variable a would be 2x and the variable b would be 4

so, you can turn 4x^2+16x+16 into (2x+4)^2

and since the area of a square is (one of its sides)^2, or in this case (2x+4)^2, the length of one side of the lawn will be 2x+4

problems where you have to use the (a+b)^2=a^2+b^2+2ab formula to turn trinomials into binomials squared are very common, so make sure to look out for questions like these and be ready to use this formula


Related Questions

Twice the difference of a number and 2 is 7.

Answers

Answer:

9

Step-by-step explanation:

-Twice means muliply by 2

 

-The difference of a number and 7 means subtract a number/variable and 7.

 

-Is equal to 9 means =9

 

2(X - 7) = 9

An equation to model the number is: n - 7 x 2 = 2

To find the equation, break apart the question.

twice the difference of a number and 7 equals 2. - "Twice" means we are multiplying by 2, or x 2

twice the difference of a number and 7 equals 2. "The difference of a number and 7" means we are subtracting n - 7, and this is being multiplied by 2 so we have n - 7 x 2 so far.

twice the difference of a number and 7 equals 2. "Equals two" means the equation is equal to 2, or = 2, so our equation is n - 7 x 2 = 2.

what is -9 = -6r simplified​

Answers

Answer:

Exact Form:

r = 3/2

Decimal Form:

r = 1.5

Mixed Number Form:

r =1 1/2

Step-by-step explanation:

6|5x-4|-4=32 solve for x

Answers

Answer:

x=2

Step-by-step explanation:

A ramp 23ft long rises to a platform. The bottom of the platform is 11ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree.

Answers

Answer:

61.4°

Step-by-step explanation

Given

Length of the ramp = 23ft = hypotenuse

Base of the ramp = 11ft = Adjacent

Required

Angle of elevation x

Using the SOH CAH TOA identity

Cos theta =adj/hyp

Cos x = 11/23

Cos x = 0.4782

x = arccos0.4782

x = 61.42°

Hence the angle of elevation is 61.4°

Can someone please help me? thank you. ​

Answers

Answer:

Step-by-step explanation:

c(f) = [tex]\frac{5}{9}(f-32)[/tex]

[tex]-21 = \frac{5}{9}(f-32)[/tex]

Multiply both sides by 9

-21*9 = 5(f - 32)

-189 = 5*f - 5*32

-189 = 5f - 160

Add 160 to both sides

-189 + 160 = 5f

-29  = 5f

Divide both sides by 5

-29/5 = f

f = -5.8

f = -6 °C

Can you help me please! Hurry its due soon

Answers

Answer:

She earns $0.5 per hour

Step-by-step explanation:

mark brainliest

_____ earns $23.4 per hour, $.1 less than ___

Someone help me asappppp!!! Will mark brainliest if right hurry!!!!!!

Answers

They are similar AEB and BDC?

Answer:

i cant see the angle at the bottom of the page. im assuming it is E.

1. BAE and BDC

2. BEA and BCD

Step-by-step explanation:


A rectangle is a parallelogram. What is true of the diagonals of a rectangle
that is not true of the diagonals of a parallelogram, in general?

Answers

Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths

Step-by-step explanation:

What is true of a rectangle that is not true of a parallelogram is that; the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.

We are dealing with rectangles and parallelogram here.

Now, both rectangle and parallelogram have 4 sides respectively with 2 of the sides being equal.

Now, for a rectangle, the diagonals are always equal because all the internal angles are equal.

However, for a parallelogram, all the internal angles are not equal and as such the diagonals are also not equal.

In conclusion, what is true of a rectangle that is not true of a parallelogram is that the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.

Read more about diagonals of Quadrilaterals at; https://brainly.com/question/25806235

Create an equation for this question and solve
Jesse sells advertising pages for a magazine. He is paid a 13.5% commission for each page he sells. A page sells for $1,350. He sold an average of 24 pages a month. What was his commission for the year?

Answers

Answer:

$52,488

Step-by-step explanation:

The computation of the commission for the year is as follows:

It is given that  a 13.5% commission is to be paid for each page that he sold

Here the page sold for $1,350

And, he sold average of 24 pages a month

So his commission for the year is

= $1,350 × 24 × 12 × 13.5%

= $52,488

i am doing bad in school i dont understand it i am feeling depressed wish someone would just do my work for me sigh

Answers

Answer:

help you

Step-by-step explanation:

I will help you on somethings

Answer: Life is not fair isn't it ?

Step-by-step explanation:

You roll a number cube two times in a row. What is the probability of rolling a 3 the first time and an even number the second time?​

Answers

The probability of rolling a 3 the first time is 1/6.

The probability of rolling an even number is 1/2.

Consider the two functions which statement is true

Answers

Answer:

I think it's C

Step-by-step explanation:

Because the line is straight up and it on -2

Hope this helps if it's wrong i'm sorry but i hope it's right.:)

The campus bookstore at a local university is interested in finding out whether the textbook preference and the class level (freshman, sophomore, junior, senior) of the student are associated. A random sample of 100 students is obtained, and each student in the sample is asked which textbook he or she prefers: new books, used books, or digital books. The students are also asked whether their class level is freshman, sophomore, junior, or senior.Which of the following is the appropriate test for the investigation?A. A one-sample tt-test for a population meanB. A two-sample tt-test for a difference between meansC. A chi-square goodness-of-fit testD. A chi-square test of homogeneityE. A chi-square test of independence

Answers

Answer:

The appropriate test for the investigation is;

E. A chi-square test of independence

Step-by-step explanation:

The chi-square test for independence is for the analysis of two categories from within a population to evaluate the existence of association among the different categories within the two variables

The chi-square test for independence is used for the analysis of contingency (frequency) table

Therefore, the appropriate test for the investigation in finding out (1) the textbook preference and (2) the class level of the associated student is the chi-square test of independence

A store pays $20 for leggings they mark up the price 35% what is the selling price

Answers

Answer:

View Picture

Step-by-step explanation:

write 5 sentences for a summary for the followng story:











































JK ITS MATH (KEEP GOING DOWN)


























9 to the 3rd power

Answers

Answer: 729 uwu

9x9x9

Answer:

bvdhbvdhbshncb ghdscfgqhaNXJABVFG5R3E6T7Y28Y3T63

Step-by-step explanation:

My cat stepped on my computer

PLEASE HELP DUE SOONNNNN SIMPLE ADVANCED MIDDLE SCHOOL MATH AKA FACTORING

Answers

Answer:

28. x(x+2)(x+5)

29. 2(2x+1)(x-2)

30. y(a+5)^2

Step-by-step explanation:

30. y(a+5)(a+5)

Plss helppp
26
Mandy spent $287 on 7 pairs of shoes. She purchased some pairs of boots that cost $65 per pair and some pairs of workout shoes that cost
S23 per pair
Use a system of equations to help you identify how many pairs of boots (b) and workout shoes (w) Mandy bought
Enter the number of pairs of boots and workout shoes Mandy bought

Answers

Answer: Boots = 3

workout shoes = 4

Step-by-step explanation:

boots cost $65 so 65 x 3 = 195

and workout shoes cost $23 so 23 + 4 = 92 then 195 + 92 = 287

Riley let his friend borrow $12,750. He wants to be paid back in 4.75 years and is going to charge his friend 5.5% interest rate yearly.

Answers

Answer:

$16442.18

Step-by-step explanation:

12,750 x 1.055^4.75 = 16442.18

Hope this helps

Find an equation of the line passing through the pair of points (4,5) and (6,9) . Write the equation in the form Ax+By=C .

Answers

Answer:

-2x + y = -3

Step-by-step explanation:

Find the slope:

9 - 5 / 6 - 4 = 4/2 = 2

Put it in point-slope form:

y - 5 = 2(x - 4)

rearrange:

y - 5 = 2x - 8

y - 2x = -3

-2x + y = -3

I need helppppppppp this is due ina hour​

Answers

Answer:

Step-by-step explanation:

3. Area = pie r2

A = (22/7) (4)2

= 50.27

4. Circumference = pie d

C = (22/7) (13)

= 40.84

Help please and thank you.

Answers

9.2 i think you have to round it up and it’s 9.5

How many ways can you write one whole as a fraction

Answers

Answer:

infinite

Step-by-step explanation:

you could say 1/1 or 4/4 or 146798245/146798245

any number over itself is a whole

Does that answer it? I feel like I'm missing something

Answer:

Any

Step-by-step explanation:

You can write one whole by making the numerator and denominator the same number. Examples:      2/2      3/3      4/4      5/5      6/6      7/7      8/8      9/9     10/10      100/100      20/20

Find the slope of the line.​

Answers

Answer:

Rise -5 and Run 2

Slope of -5/2

Which equation is true?
f(x) - 5 = g(x)
f(x) = g(x) - 5
Of(x) = g(x - 5)
Of(x - 5) = g(x)



PLZZZ HELPPP

Answers

Answer:

f(x)-5 = g(x)

Step-by-step explanation:

We translate the function g(x) down 5 units from the function f(x)

g(x) = f(x) -5

Rewriting

f(x)-5 = g(x)

Answer:

Option A

Step-by-step explanation:

f(x)-5=g(x)

f(x) and g(x) are exponential functions

We can see that f(x) is shifted 5 units down

So change in y

hence 5 is to be subtracted

Does anyone have “Geometry and Data Analysis” on edge? I really need help on the test if you are good at geometry..

Answers

Haha I was joking around the same place

Please solve for the maximum value

f(x) = -2x^2 - 12x - 16

Answers

Answer:

-2(x+4)(x+2)

Step-by-step explanation:

thats the answerer

Im going to middel school and i want to pick the best sport (for girls)

Answers

Answer:

Basketball all the way!

Step-by-step explanation:

You should pick volleyball, its quite fun

POSSIBLE POINTS: 2
A tank that is 40% full contains 650 gallons of water. On a side sheet of paper, use a double number line to find the maximum capacity of the water tank.
What did you get?
gallons

Answers

Answer:  max capacity is 1625 gallons.

Diagram is shown below.

=========================================================

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

-----------------------

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

Jelena has a piece of fabric in the shape of a parallelogram the height is 10 feet and its base is 16 feet because the fabric into four equal parallelograms by current base and the height in half what is the

Answers

Complete question :

Jelena has a piece of fabric in the shape of a parallelogram the height is 10 feet and its base is 16 feet because the fabric into four equal parallelograms by current base and the height in half what is the area of each new parallelogram?

Answer:

40 ft²

Step-by-step explanation:

Given that:

Height = 10 feets

Base = 16 feets

Area of parallelogram = height * base

Area of parallelogram = 10 * 16 = 160 ft²

Area of each new parallelogram :

Area of parallelogram / number of divisions

= 160ft² / 4

= 40 ft²

trapezoid DEFG is shown on this coordinate plane​

Answers

Answer:

Hello, you forgot to attach an image. Please repost with a new image so I can respond.

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