[tex] \sqrt{ {4 a}^{2} + {12a}^{2} } [/tex]

Answers

Answer 1

Answer:

The answer is 4a

Step-by-step explanation:

1) Simplify 4a² + 12a² to 16a².

[tex] \sqrt{ {16a}^{2} } [/tex]

2) Use this rule:

[tex] \sqrt{ab} = \sqrt{a} \sqrt{b} [/tex]

[tex] \sqrt{16} \sqrt{ {a}^{2} } [/tex]

3) Since 4 × 4 is 16, the square root of 16 is 4.

[tex]4 \sqrt{ {a}^{2} } [/tex]

4) Simplify.

[tex]4a[/tex]

Therefor, the answer is 4a.


Related Questions

Evaluate the expression.

−(1/9)3

Answers

Answer:

- 1/729

Step-by-step explanation:

math

Mila buys a two liter soda bottle. She accidentally drops the soda bottle and spills 287 milliliters of soda. How much soda is left?

Answers

Answer:

1713 milliliters

Step-by-step explanation:

1 liter is 1000 milliliters, so 2 liters is equal to 2000 milliliters.

2000 mL - 287 mL = 1713 mL

So 1713 mL are left.

Where does y=3x+1 and y=2x intersect?

Answers

Answer:

Step-by-step explanation: this should help

Tjtkjggj plz help
Ckdkdfkkf​

Answers

Answer:

x=5

Step-by-step explanation:

3x-1.5=13.5

+1.5 +1.5

3x=15

÷3 ÷3

x=5

Wilma can mow a lawn in 90 minutes. Vanessa can mow the same lawn in 30 minutes.
How long does it take for both Wilma and Vanessa to mow the lawn if they are
working together?

Answers

Answer:

If it takes Wilma 90 minutes and Vaness 30 minutes you'll need to add 90 + 3.

If add both numbers correctly the answer that you'll get will be 2 hours.

Hope this helped :)

Please help! Will give brainlist

Answers

Answer:

vertical

Step-by-step explanation:

bdvdhdvdhdvdhdhdvdhbdbdd

Answer:

adjacent

Step-by-step explanation:

3. Which best describes parallel lines?
a) two lines that originate from the
same point
b) two lines that intersect at multiple
points
c) two lines that curve to form a circle
d) two lines that are always equidistant

Answers

Answer:

its A

Step-by-step explanation:

its A because parallel are two straight lines next to each other

The answer is A have a good day

NEED HELP ASAP FREE BRAINLIST

Answers

Answer:

13.6

Step-by-step explanation:

[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]

What is the percent of change from 400,000 to 700,000?


Answers

Answer:

17.5

Step-by-step explanation:

Answer:

I see this is your first brainly question, I hope you are enjoying the website! Anyway, the answer is 75%

Step-by-step explanation:

I got my answer from https://getcalc.com/math-percent-change-400000to700000.htm I recommend this website, I hope you try it out and like it! Have a wonderful day and dont forget to smile :) <3

CAN SOMEONE PLEASE HELP WITH THIS PROBLEM PLEASE!!!!

Answers

naw bruv i’m doing the same problems rn and i’m struggling gl tho

A recipe requires teaspoon of ground cinnamon, 1 teaspoon of ground
nutmeg, and teaspoon of ground allspice. Kate wants more flavor in her
dish and has added an extra teaspoon of each of the three spices.
Which is the best estimate of the total number of teaspoons of spices in
Kate's dish?

Answers

Answer:

2 teaspoons of cinnamon 2 teaspoons of nutmeg and 2 teaspoons of allspice. which would be 6

Step-by-step explanation:

simplify the following equation 3/7 + 5/14
pls I need this now

Answers

Answer:

11/14

Step-by-step explanation:

Answer:

11/14

Step-by-step explanation:

[tex]\frac{3}{7} *\frac{2}{2}+\frac{5}{14}*\frac{1}{1} \\\frac{6}{14} +\frac{5}{14} =\frac{11}{14}[/tex]

(4n + 9) + (2m + 7) = (Simplify your answer.)​

Answers

☁️ Answer ☁️

annyeonghaseyo!

Your answer is:

2m + 4n + 16

Hope it helps.

Have a nice day noona/hyung!~  ̄▽ ̄❤️

Answer:

[tex](4n + 9) + (2m + 7) \\ = 4n + 9 + 2m + 7[/tex]

[tex] = 4n + 9 + 7 + 2m[/tex]

[tex] = 4n + 2m + 16[/tex]

[tex] = 2m + 4n + 16[/tex]

[tex]or[/tex]

[tex]2(m + 2n + 8)[/tex]

Hope it helps ✌️

F is directly proportional to A. if F=72 when A=9 find F when A=7

Answers

56 is your answer.

Equation for direct proportion is y = kx where k is the constant of proportionality. For your letters, it’s f = ka

We know 72 =k9, so k = 8
Then they want you to solve
f = 8•7
f = 56

help please I'll give 6 points and brainliest​

Answers

Answer:

Radius - 25.4cm²

Circumstance- 159. 593cm²

Area - 2,026.83cm²

I think not sure

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????

Answers

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

[tex]Saving=25\%\text{ of }200[/tex]

[tex]Saving=\dfrac{25}{100}\times 200[/tex]

[tex]Saving=25\times 2[/tex]

[tex]Saving=50[/tex]

Therefore, the money saved by Katherine is $50.

Any smart people know this i’m not smart

Answers

Answer:

-8n² - 8n + 3

Step-by-step explanation:

Combine like terms (terms with the same variables, as well as the same amount of that variable).

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

First, distribute the negative sign to all terms within the second parenthesis:

4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1

Combine like terms:

(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)

-8n² - 8n + 3

-8n² - 8n + 3 is your answer.

Answer:

Option 3

Step-by-step explanation:



Brian invests £600 into his bank account.
He receives 3.2% per year compound interest.
How much will Brian have after 6 years?
Give your answer to the nearest penny where appropriate

Answers

Answer:

It will be £2520

Step-by-step explanation:

3.2=[tex] \frac{16}{5} [/tex][tex] \frac{16}{5} \times 100 = 320[/tex]320 [tex]320 \times 6 = 1920[/tex][tex]1920 + 600 = 2520[/tex]

A square has a perimeter of 76 cm. Each side measures x + 3.
What is the value of x, in centimeters?

Answers

A square has all equal sides, so 76/4 is 19.
19=x+3
Subtract the three from both sides
16=x
Or
X= 16 cm

The value of given x is 16

Given that:

Perimeter of square = 76 cm

Side of square = (x + 3)

Find:

The value of x

Computation:

Perimeter of square = 4[Side]

76 = 4[x + 3]

76 = 4x + 12

4x = 76 - 12

4x = 64

x = 64 / 4

x = 16

The value of x = 16

Learn more:

https://brainly.com/question/5602071?referrer=searchResults

Insert 16 rational numbers between 2.1 and 2.2​

Answers

Answer:

We will apply the formula of d=y- x/n+1

Let y be 2.2 and x be 2.1 and n= 16

Then 2.2-2.1/ 16+1

0.1/17

x+d= 2.1 + 0.1 = 2.2

x+2d= 2.1+2×0.1=2.3

x+3d= 2.1+3×0.1=2.4

x+4d= 2.1+4×0.1=2.5

x+5d=2.1+5×0.1=2.6

x+6d=2.1+6×0.1=2.7

x+7d=2.1+7×0.1=2.8

x+8d=2.1+8×0.1=2.9

x+9d=2.1+9×0.1=3

x+10d=2.1+10×0.1=3.1

x+11d=2.1+11×0.1=3.2

x+12d=2.1+12×0.1=3.3

×+13d=2.1+13×0.1=3.4

x+14d=2.1+14×0.1=3.5

x+15d=2.1+15×0.1=3.6

x+16d=2.1+16×0.1=3.7

Step-by-step explanation:

mark brainlyest plz it really helps

Based on the data, how many of 650 ice cream eaters would be expected to prefer vanilla or cookie dough ice cream flavor Number of people vanilla 71 strawberry 22 cookie dough 27 chocolate 83

Answers

Answer: 305 people

Step-by-step explanation:

The total number of people sampled is:

= 71 + 22 + 27 + 83

= 209

Out of this 209, the number of people who prefer Vanilla and cookie dough ice cream is:

= 71 + 27

= 98 people

In a sample of 209 people, 98 people would prefer either vanilla or cookie dough. In 650 people, that number would therefore be:

= 98/ 209 * 650

= 305 people

Help! Formula of a rectangular prism.

Answers

It is 10x18x6 I think

Answer:

1,080

Step-by-step explanation:

10 x 18 x 6

Go to my question that says “ What’s the area of the triangle??” please help me

Answers

Answer:

Ok I'll help

Step-by-step explanation:

What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45

Answers

Answer:

c

Step-by-step explanation:

20w=4w*5w

45WT=5WT*9WT

pls pls pls help with all these three asap! NO WRONG ANSWERS PLS!

Answers

Answer:

In 2014, the population is of the United States was about 318,900,000 people. Choose the best approximation of the United States Population in 2014.

people

people

Answer:

people

Step-by-step explanation:

Given

US Population in 2014: About 318,900,000

Required

Approximate

From the given options, it's seen that the population of US is to be approximated to one significant digit and the result should be presented in standard form

So, the first step is to write out the population

318,900,000

As a general rule,

Category 1: Digit 0-4 are approximated to 0

Category 2: Digit 5-9 are approximated to 1

Since, we are approximating to one significant digit, only the first digit is needed, others are to be approximated.

The first digit is 3, meaning that approximation starts from the next digit which is 1

Approximating 318,900,000 will give 300,000,000 because "1" falls in category 1 as illustrated above.

The final step is to convert 300,000,000 to standard form.

There are 8 0s after 3.

Hence,

Conclusively, the approximation of 318,900,000 is  people

Step-by-step explanation:

The volume of a cylinder is 65 cubic centimeters. Which equation can be used to find h, the height of the cylinder?
A. h = 65/b, where B is the base area of the cylinder.
B. h = 65 - B, where B is the base area of the cylinder.
C. h = 65B, where B is the base area of the cylinder.
D. h = B/65, where B is the base area of the cylinder.

Answers

Answer:

Im so sorry for do this but can you help me click my profile pic the click the last question PLZZZZZZZ will give 50 brain  

Step-by-step explanation:

The equation that can be used to find h, the height of the cylinder, is h = B/65. The correct option is D.

How to calculate the height?

The formula for the volume of a cylinder is:

V = Bh

Where V is the volume, B is the base area, and h is the height of the cylinder. We are given that the volume of the cylinder is 65 cubic centimeters, so we can write:

65 = Bh

To solve for h, we can divide both sides of the equation by B:

h = 65/B

Therefore, the equation that can be used to find h, the height of the cylinder, is:

D. h = B/65, where B is the base area of the cylinder.

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the science teacher is filling her new fish aquarium. the aquarium holds 40 gallons of she fills the aquarium 0.8 of the way how many gallons will she need​

Answers

Answer:

total number of gallons=40

4/5of gallons=?

40×4/5=32

can someone help me please!!

Answers

C......................

A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = −16(x − 2)2 + 72. What is the equation in standard form and the maximum height of the ball?

A. h(x) = −16x2 + 32x + 72; 72 ft
B. h(x) = −16x2 − 32x + 72; 32 ft
C. h(x) = −16x2 − 64x + 32; 32 ft
D. h(x) = −16x2 + 64x + 8; 72 ft

Answers

Answer:

Step-by-step explanation:

h = −16(x − 2)² + 72

 =  −16((x − 2)(x − 2)) + 72                   expand the square  (x - 2)² =  (x - 2)(x - x)

 =  -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72

  = -16 (x² + (-2x) + (-2x) + (4) ) + 72

  = -16 (x² + (-4x)  + (4) ) + 72

  = -16 (x² - 4x  + 4 ) + 72

  = (-16)(x²) + (-16)(-4x) +(-16)(4) + 72

  =   -16x²  + 64x  - 64 + 72

  =   -16x²  + 64x  + 8              My guess is D   ; 72 ???

I have no clue what the  ; 72 means after the given answer.  It must be a standard form thing I never learned.

The equation in standard form  -16x²  + 64x  + 8 and the maximum height of the ball is 72 feet.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

The height h, in feet, of the ball after x seconds is given by the function

h = −16(x − 2)² + 72

Now, simplifying the above expression is

h =  −16((x − 2)(x − 2)) + 72            

h = -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72

h = -16 (x² + (-2x) + (-2x) + (4) ) + 72

h = -16 (x² + (-4x)  + (4) ) + 72

h = -16 (x² - 4x  + 4 ) + 72

h = (-16)(x²) + (-16)(-4x) +(-16)(4) + 72

h = -16x²  + 64x  - 64 + 72

h = -16x²  + 64x  + 8            

and, the maximum height is 72 feet.

Learn more about Equation here:

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PLZ HELPPP a^2+b^2=c^2 i have the photo attached below and if you know this do you think you could help me with the rest of them as well? I have to answer 5 questions..

Answers

Answer: 7.5

Step-by-step explanation:

a²+b²=c²

C is the hypotenuse

a²+5²=9²

a²=81-25

a²=56

a=7.5

Answer:

wait so is this like uhmm pythagorean theorem?

Step-by-step explanation:

the square root of 5 and 9 is 25 and 81 add those together and you'll get 106, I'm not sure if you square root the 106 though but if you do its 10.295630141

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