A square has an area of 4x^{2} + 12xy + 9y^{2} square meters. What is the perimeter of the square?

Answers

Answer 1

Answer:

Perimeter = 4L = 4(2x+3y) = 8x+12y

Step-by-step explanation:

Given:

square with area A(x,y) = 4x^2+12xy+9y^2

Find perimeter.

A(x,y) = (2x+3y)^2

Length of each side

L = sqrt( A(x,y) ) = sqrt((2x+3y)^2) = 2x+3y

Perimeter = 4L = 4(2x+3y) = 8x+12y


Related Questions

Which functions have graphs that are steeper than the graph of f(x)=−3x^2?

Select each correct answer.

h(x)=−2x^2

g(x)=−4x^2

k(x)=3x^2

m(x)=4x^2

j(x)=2x^2

Need help asap please

I think it is k(x)=3x^2 and j(x)=2x^2 Can anyone tell me if i am correct.


Answers

Answer:

g(x)=−4x^2  and m(x)=4x^2

Step-by-step explanation:

A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number.  If this number is between 0 and 1, the graph will be stretched horizontally.  If this number is greater than 1, the graph will be shrunk horizontally.  If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.

The graphs that are horizontally shrunk are steeper than the others.  This is m(x)=4x^2  and g(x) = -4x^2.

   If the parent function f(x) = x is stretched vertically by a scale factor 'k', image function will be,

   g(x) = kf(x)

It's inverted form will be,

  h(x) = -kx

Functions given in options (2) and (4) will be more steeper than function 'f'.

  Given function is f(x) = -3x²

Functions having scale factor 'k' more than 3 will be more stretched vertically.

Hence, functions having k > 3 will be more steeper.

From the given options, g(x) = -4x², m(x) = 4x² have coefficient 'k' greater than 3.

Therefore, functions 'g' and 'm' will be more steeper than function 'f'.

      Options (2) and (4) are the correct options.

Learn more,

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guess a number for x that would make the equation 5x-2=8 true

Answers

x=2 ,
5(2)-2=8
10-2=8
X = 2
5 (2) - 2 =8
2 is the correct answer

Defined by distinct lines in the same place which never intersect each other and have the same slope

Answers

Parallel lines fit this definition. Hope this helps

Which set of rational numbers is correctly ordered from least to greatest circle your answer.Use a number line to help find your answer.

A.-0.48,-0.47,-0.46,0.45
B.-0.48,-0.46,-0.47,0.45
C.-0.45,-0.46,0.47,-0.48

Answers

Your answer will be A. It is A because these numbers are negative so the smaller the number the greater it is. 
The answer is A. Because the higher a negative number is the smaller it is (the farther it is from 0)

A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes. Then it descends at a rate of 3 feet per second for 2 minutes. Finally, it ascends at a rate of 4 feet per second for 5 minutes. How far above the ground is the balloon now?

Answers

it is 1,920 feet above the ground
Hello First,

State 1:
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes.
1 minute = 60 seconds
3 minutes = 180 seconds
If it's rate of is 6 feet per second
Last of 3 minutes, it will ascend (180 seconds x 6 feet) 1080 feet.seconds. That is we can write +1080 feet.seconds

State 2:
Then it descends at a rate of 3 feet per second for 2 minutes.
2 minutes = 120 seconds
If it's rate of is 3 feet per second
Last of 3 minutes, it will descent (120 seconds x 3 feet) 360 feet.seconds that is we can write -360 feet.seconds

State 3:
It ascends at a rate of 4 feet per second for 5 minutes.
5 minutes = 300 seconds
If it's rate of is 4 feet per second
Last of 5 minutes, it will ascent (300 seconds x 4 feet) 1200 feet.seconds that is we can write +1200 feet.seconds

Last State:
+1080 feet.seconds ascent (1)
-360 feet.seconds descent (2)
+1200 feet.seconds ascent (3)

Conclusion:

(+1080 feet.seconds) + (-360 feet.seconds) + (+1200 feet.seconds) = +1920 feet.seconds

Answer: +1920 feet.seconds

2i+3+the square root of -4. i dont understand how to write this expeession as a complex number in standard form. a step by step would be helpful! thank you!

Answers

First, know that the square root of -4 can be written as 4i.
2i + 3 + 4i

Once you do that, add the 2i and 4i and you have your final answer.
6i + 3


First, you would need to find the square root of -4...

So, do -4 times itself and you get 16.

Lastly, you would add the 2i, the 3, and the 16...

So the answer to this problem would be...
2i+3+16=2i+19 <==

Explain how to solve rate of wind and rate of current problems

Answers

Final answer:

To solve rate of wind and current problems, analyze the given velocities, represent them as vectors, perform vector addition, and apply trigonometry to find the effective velocity or required direction. This method helps in determining the true path of a vehicle influenced by wind or current.

Explanation:

To solve rate of wind and rate of current problems, it is essential to understand vectors and relative motion. Here is a step-by-step approach to solving these problems:

Analyze the question to understand what is being asked, including the direction and magnitude of both the wind/current and the vehicle (aircraft, boat, etc.).Represent the given velocities as vectors. The wind or current velocity should be added to the vehicle’s velocity to determine the resulting path.Apply the vector addition concept to calculate the effective velocity of the vehicle relative to the Earth. This might include using trigonometric functions to resolve vectors into components.Once the effective velocity is known, use it to solve for other quantities like travel time, distance, or the required heading to reach a certain destination.

For example, if an aircraft flies with a wind velocity of 200 km/hr blowing from the south and its relative velocity with respect to wind is 1000 km/hr, the direction in which the aircraft should fly to reach a north-eastern destination can be calculated using vector addition and trigonometry.

Give one combination of two factors whose product is 0.24, if one of the factors is a whole number greater than 1.

Answers

Answer:

Product of two factors =0.24

It is given that one of the factors is greater than 1.

Because 0.24 when reduced in fraction form , numerator will be divisible by 1,2,3,4,6,8,12,and 24.

So, you can choose from any one of them.

So, let one factor= 2

So, other will be

 = 0.24 ÷ 2

=0.12

One Combination is=(2, 0.12)

The combination of two factors whose product is 0.24 is 24 x 0.01

The product = 0.24

Convert 0.24 from decimal to fraction

0.24 = 24/100

24/100 can be rewritten as 24 x 1/100

Since 24 is a whole number greater than 1, find the decimal equivalent of 1/100

1/100 = 0.01

0.24  =  24 x 0.01

Therefore, one of the combinations of factors of 0.24 the where one of them is a whole number greater than 1 is 24 x 0.01.

Learn more here: https://brainly.com/question/2696570

Which graph represents the solution for the equation 1/6x=-2x+5

Answers

More information please.

Answer:

B

Step-by-step explanation:

Jaquon made 252 calls in 36 days. What is the average number of calls he made in a day?

Answers

do 252 divided by 36 and you should get 7. so the average number of calls would be 7
252 calls = 36 days
Divide both sides by 36 to get what 1 day would equal.
7 calls = 1 day.

Hope that helped! :)

PLEASE HELP!!


1. A function f(x) is graphed on the coordinate plan. What is f(-2)?

2. *Full of problems* Let me know if there is a certain question that you can't see*

Answers

1. The function of this graph is f(x) = 0.5x + -2 
Plug (-2) into the x variables so it looks like: 
f(-2) = 0.5 (-2) + -2
Then solve. 
Answer: f(-2) = -3 
**I'm not as sure about this one, so I might be wrong

2. 
For #8, the y-intercept is 4 (you're right) and it represents the initial distance before she started hiking (D) 
I tried to figure #9 out, but I couldn't find the answer. I came across a website that might help though: https://sciencing.com/determine-practical-domain-range-10052000.html
**I can't see #s 6 or 7

How much more money does she need

Answers

5 pounds of bananas cost 0.80*5 = 4 dollars

5 pounds of apples cost 1.40 *5 = 7 dollars

4+7 = 11 dollars

 11 dollars is greater than 10 so she does not have enough and  needs 1 more dollar

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Because it is asking for 5 pounds of both bananas and apples, we will multiple the amount per pound for each by 5...

Bananas: $1.40 * 5 = $7

Apples: $0.80 * 5 = $4

The Total is: $11

Now we ask:  Is $10 greater than or equal to $11?

Answer: No

So...

The answer is: Janice's mother did not give Janice enough money, and need $1 more to make the full purchase...

matt can buy an 8-ounce jar of salsa for $2.79 or a 15-ounce jar os salsa for $5.54. which jar has the best unit rate?

Answers

8/2.79 = 1/2.867, or $2.86 per each oz
15/5.54 = 2.707/1, or 2 oz for every 1 dollar

the 15 oz jar of salsa has the better unit rate

hope this helps

2 automobiles start together from the same place and travel along the same route. the first averages 40 miles per hour. the second 55 miles per hour. how many miles further along the route is the second auto at the end of 5 hours

Answers

75 miles further. Hope this helps!

first auto: 40 x 5 = 200
second auto: 55 x 5 = 275
275-200=75

75 miles further along the route than the first automobile.

I think that's wut ur asking




A 30 minute TV program consist of three commercials, each 2 1/2 minutes long, and four equal length entertainment segments. How long is each entertainment segment?

Answers

Each one would be 5 minutes because 2 1/2 Times 4 = 10 minutes. You would have 20 minutes remaining so divide 20 by how many segments there are, which is 4 to get 5

Sandy can jog 3 2/5 miles in 5/6 hour. Find her average speed in miles per hour.

Answers

3 2/5 = 17/5 

(17/5 mi)/(5/6 hr) = 102/25 mi/hr

Answer:

[tex]4\frac{2}{25}[/tex] miles per hour

Step-by-step explanation:

Sandy can jog a distance  [tex]3\frac{2}{5}[/tex] miles or  [tex]\frac{17}{5}[/tex]  in the duration =  [tex]\frac{5}{6}[/tex] hours

Since speed =  [tex]\frac{distance}{time}[/tex]

We plug in the values of distance and time in the formula of speed.

Speed = [tex]\frac{\frac{17}{5}}{\frac{5}{6}}[/tex]

           =  [tex]\frac{17}{5}[/tex] ×  [tex]\frac{6}{5}[/tex]

           =  [tex]\frac{102}{25}[/tex]

           =  [tex]4\frac{2}{25}[/tex] miles per hour

Her average speed is  [tex]4\frac{2}{25}[/tex] miles per hour.

Evaluate the expression 1/4 ÷ 2/5 – 1/2

Answers

1/4 ÷ 2/5 – 1/2
1/4*5/2-1/2
5/8-4/8
=1/8 I think is the right answer.
1/4  / 2/5  = 1/4 * 5/2 =  5/8

5/8 - 1/2 = 5/8 - 4/8  = 1/8 answer

An adult African elephant can weigh up to 7 tons. At birth an African elephant weighs about 200 pounds. How many more pounds does an adult African elephant weigh than a newborn?

Answers

One tonne is equal to about 2,000lbs. So, if an adult African Elephant weighs 7 tonnes, that is about 14,000lbs. If you subtract 200lbs from 14,000, you get 13,800.

1 tonne = 2,000lbs
7 tonnes * 2,000lbs = 14,000lbs
14,000lbs - 200lbs = 13,800

So your answer would be an adult African Elephant is about 13,800lbs more than a new born elephant.

Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy’s descent as a unit rate? Express your answer as an integer. Enter your answer in the bo

Answers

To get Andy’s descent as a unit rate, we can express this in terms of ratio of distance over time.

The total distance he descended is 10 feet while the total time 2 ½ minutes or 2.5 minutes. Therefore his rate is:

 

rate = 10 feet / 2.5 minutes

rate = 4 feet / minute

d(-3+x)=kx+9 can you solve

Answers

This is wonderful, I am also currently looking for the answer for this same problem. :) Have you figured it out?

Probability?

A spinner is made using a regular pentagon. A regular pentagon has five equal sides. The equal sections are labeled with the numbers 1, 2, 3, 4 and 5. What is the probability that it will give the
result: 
(Im not talking about a fidget spinner)
A: 4? 
B: 3? 
C: a number less than 3? 
D: number greater than 3? 
E: an even number 
F: an odd number?

Answers

F : an odd number because u have to multiply it then divide then you sum it up and it’s an odd number

A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find the numbers

Answers

Answer:

first number = 78

second number = 72

third number = 156

Step-by-step explanation:

first number = a

second number = b

third number = c

we have

b=a-6   equation 1

c=2a     equation 2

a+b+c=306    equation 3

using equation 1 and equation 2 in equation 3 we have

a+a-6+2a=306

4a=306+6

4a=312

a=312/4

a=78= first number

b=78-6=72=second number

c=2*(78)=156 third number

I need a little help please

Answers

12: 1.57c  
13: $70.65  
14: $25.65

6q + 9 ≤ 9 and 6q + 9 ≥ −9

Answers

Hello there!

6q + 9 ≤ 9

Start by subtracting 9 from both sides

6q + 9 - 9 ≤ 9 - 9

6q ≤ 0

Then divide both sides by 6

6q/6 ≤ 0/6

q ≤ 0

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

The second equation
6q + 9 ≥ -9

Start by subtracting 9 from both sides

6q + 9  - 9 ≥ -9 - 9

6q ≥ -18

Divide both sides by 6

6q/6 ≥ -18/6

q ≥ -3


Good luck with your studies!
If you combine both of these inequalities, you will get 
-9 ≤ 6q + 9 ≤ 9

You can further simplify this be using the absolute value.
If you use the absolute value, you will get
| 6q + 9 | ≤ 9

If you're trying to solve for q, use
-9 ≤ 6q + 9 ≤ 9
Subtract all parts by 9
- 18 ≤ 6q ≤ 0
Divide all parts by 6
- 3 ≤ q ≤ 0

Have an awesome day! :)

Dan has 4 over 5 cup of ice cream. How many 1 over 8-cup servings are in 4 over 5 cup of ice cream?

Answers

4/5 ÷ 1/8 
6.4 servings of 1/8 will be in the cup
I believe the answer is 6.05 

Hope it helps.

BRAINLIEST if right!
Which of the flowing graphs is increasing only when x<0?

Answers

I believe it would be Z
Let's analyze each graph.

Graph W is actually decreasing when x<0, so it is incorrect.

Graph X increases when x<0 and not when x≥0, so that makes it a possible answer.

Graph Y decreases when x<0, so it is incorrect.

Graph Z increases when x<0, but it is also increasing when x≥0, so Graph Z is incorrect.

Graph X is the only correct answer.

Have an awesome day! :)

Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?

Answers

chuy planned on saving $55 a week at the rate hes going he would of saved up in less then 25 weeks he would of needed to save atleast $50 per week to meet his goal

Answer:

c.

Chuy will save more than he needs and will meet his goal in less than 27 weeks.

Step-by-step explanation:

A backpacker started his day at an elevation of x feet above sea level. After a day of hiking, the backpacker was at sea level.Which equation models this situation? (asap, thanks.)

A. x + 0 = 0

B. x + x = 0

C. 0 - x = x

D. x + (-x) = 0

Answers

D. x + (-x) = 0

That is the answer because if you are x feet above sea level, to get back to sea level, which equals zero (0), you need to go down the same amount you went up (x), so you need to go down x feet (-x).
my guess is that your answer D :)

Soundarya borrowed Rs 7500 at compound interest at the rate of 4% p.a. then after 2 years ,the amount to be paid

Answers

If you take the 7500 x 4% x 2 yar o a calculator, you can find the answer.  Or google search a interest calculator.

If ∠ABD = 56, find ∠DBC.

a) 124
b) 56
c) 44
d) 34

Answers

Angle DBC would equal 34
Final answer:

The measure of ∠DBC is determined based on the concept that two angles forming a straight line are supplementary, which means their measures add up to 180 degrees. Thus, ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees.

Explanation:

The subject of the given question pertains to Mathematics, specifically geometrical interpretation of angles. We have a situation where the measure of ∠ABD is provided as 56 degrees and we are asked to determine the measure of ∠DBC. This is a well-known scenario in geometry where one angle is given and the other is to be determined.

Important observation here is that ∠ABD and ∠DBC are on a straight line, thus they are supplementary angles. We know that the sum of supplementary angles is 180 degrees. Hence, the measure of ∠DBC will be: ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees. So, the correct answer is (a) 124.

Learn more about Supplementary Angles here:

https://brainly.com/question/18164299

#SPJ3

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