expand the following (4/5d - 7e)2

Answers

Answer 1

Answer: [tex]\dfrac{16d^2}{25}+49e^2-\dfrac{56de}{5}[/tex]

Step-by-step explanation:

Given

The expression is

[tex](\dfrac{4d}{5}-7e)^2[/tex]

Use identity [tex](a-b)^2=a^2+b^2-2ab[/tex]

Apply identity

[tex]\Rightarrow \left( \dfrac{4d}{5}-7e\right)^2=\left( \dfrac{4d}{5}\right)^2+(7e)^2-2\times \left( \dfrac{4d}{5}\right)(7e)\\\\\Rightarrow \left( \dfrac{4d}{5}-7e\right)^2=\dfrac{16d^2}{25}+49e^2-\dfrac{56de}{5}[/tex]


Related Questions

Traingle ABC below has a rigth angle C and a hieght CD. If AC is 3 units long, and BC is 4, what is the lengtyh of CD

Answers

Answer:

5 units

Step-by-step explanation:

the length of CD can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

3² + 4²

= 9 + 16

= 25

the square root of 25 is 5

3. given that m < APC is 104° in circle P, find the degree measure of Arc ABC​

Answers

Answer:

Answer is 256 degrees

Step-by-step explanation:

You basically take the degree that they gave you, which is 104, now take 360 (that's the measurement of the whole circle) and subtract it by 104 to get your answer.

hii please help asap ill give brainliest thanks

Answers

the teachings of buddha is the answer :-)

Answer:

C

Step-by-step explanation:

The teachings of Buddha

is 2.36 in a percent 236%? ill mark u brainiest:-)

Answers

Answer:

yes it is

Step-by-step explanation:

because something like .56 would be 56%

and 1.02 would be 102%

hope this helped :)

Answer:

You are correct already.

good job

At the beginning of spring, Arianna planted a small sunflower in her backyard. When
it was first planted, the sunflower was 20 inches tall. The sunflower then began to
grow at a rate of 0.5 inches per week. How tall would the sunflower be after 3 weeks?
How tall would the sunflower be after w weeks?
Height after 3 weeks:
Height after w weeks:

Answers

Answer:

3 weeks: 21.5 inches

w weeks: 20+0.5w inches

Step-by-step explanation:

Equation: 20+0.5w.

20 was when it was first planted and 0.5 is the amount it grows per week.

what does tan -1 (0.88) equal

Answers

Answer:

-1.3705187977

PLSSSS Plsssss help quick

Answers

Answer:

(x, y) (1,5.5) , (2,5.75) (3,5.83) (4,5.875) (5,5.9)

Step-by-step explanation:

The x values lie on the horizontal line and the y values lie on the vertical line.

In order to find the value of y you must substitute the value of x in the equation given and you must plot you graph using the answers you got which I wrote for you.

NOTE:if there's anything you don't understand let me know.

just one but if u could do both then that’s great. thank you

Answers

4. loge(2.7)=x
Im not to sure about number 5

Which function has the same range as
f(x)= -2sqrt (x-3)+8

Answers

Answer:

Answer: : g(x)=-sqrt(x+3)+8

Step-by-step explanation:

The function has the same range is the third one:

g(x)=-sqrt(x+3)+8

The range of this function is:

x+3>=0

sqrt(x+3)>=sqrt(0)

sqrt(x+3)>=0

Multiplying the equation by -1:

-1[ sqrt(x+3)>=0]

- sqrt(x+3)<=0

Adding 8 both sides of the equation:

- sqrt(x+3)+8<=0+8

- sqrt(x+3)+8<=8

g(x)<=8

Then Range g(x)= (-Infinite, 8]

Answer: Third option: g(x)=-sqrt(x+3)+8

Pls help, this is due today

Answers

What’s the question?
If it’s area then the formula is pi r^2
If it’s the circumference then the 2pi r or pi d

(i’m using 3.14 as pi tell me if ur pi is different)

yellow: 28.26

blue: 18.84

green: 251.2

red: 15.7

purple: 21.98

formula: C = 2pi r | C = pi d

Calvin is filling the pool in his backyard with water. If the pool is in the shape of a cylinder with a diameter of 12 ft and a height of 5 ft, how much water is needed to fill Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. of the pool?

Answers

Answer: 135 pi

Step-by-step explanation: I took the test

It is a three-dimensional shape with two parallel circular bases and a curve surface.

The volume of water needed to fill the pool is 180π square feet.

What is a cylinder?

It is a three-dimensional shape with two parallel circular bases and a curve surface.

Volume = π r² h

r = radius of the cylinder

h = height of the cylinder

We have,

Diameter of the cylinder = 12 ft

Radius = diameter/2 = 12/2 = 6 ft

Height of the cylinder = 5 ft

The volume of the cylinder:

=  πr²h

=  π x 6² x 5

= π x 36 x 5

= 180π square feet

Thus,

The volume of water needed to fill the pool is 180π square feet.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ2

50 PTS!!!!Which statements must be true to model a data set using a normal distribution?

The population mean must be greater than the sample mean.
The sample size, n, must be at least 30.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample mean must equal the population mean.
-There are multiple answers

Answers

Answer:

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.

Step-by-step explanation:

Extra Answered question:

How do you determine if a distribution is normal?

Answer: In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean. It must also adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

I hope this is what your looking for :)

Answer:

I don't the right answers but I know these answers are incorrect:

The sample mean must  equal the population mean.

The standard deviation of the population must be less than 30.

Step-by-step explanation:

will give brainliest ​

Answers

Answer:

£29.37

Step-by-step explanation:

Type in the question- like type it. Not a screenshot, type in part of the question into the Brainly search bar and you'll find it.

Determine the intercepts of the line.

Answers

Answer:

-8,-6

Step-by-step explanation:

(-8,0) (0,-6)

im pretty sure this is right but im also terrible at math so i would wait until someone else answers

HELP ASAP !!!
I dont know how to do this i really need help

Answers

Answer:

1 = A

-1/3 = C

5/6 = B

I am pretty sure

Given the side lengths, determine whether the triangle is acute, obtuse, right, or not a triangle: 8,15,23

Answers

Answer:

hablas español? O no??, no se tu pregunta pique no se ingles perdón

Answer:

Obtuse angled triangle

Step-by-step explanation:

If a, b and c are the sides of a triangle with c the largest side

• If a² + b² = c² ⇒ right triangle

• If a² + b² > c² ⇒ acute angled

• If a² + b² < c² ⇒ obtuse angled

Here a = 8, b = 15, c = 23

a² + b² = 8² + 15² = 64 + 225 = 289

c² = 23² = 529

Since a² + b² < c² then obtuse angled triangle

in the figure below, <1 measures (3x+20) and <2 measures x. what is the measure of <4?

Answers

Answer:

D. 140

Step-by-step explanation:

∠ 1 + ∠ 2 = 180

So:

(3x + 20) + x = 180

4x + 20 = 180

4x = 180 - 20

4x = 160

x = 160 / 4

x = 40

∠ 1 = ∠ 4

∠ 2 = ∠ 3

If ∠ 1 is equal to ∠ 4, just plug in for x and solve.

3x + 20 = 3(40) + 20 = 120 + 20 = 140

A large bacterium measures 750 micrometers in diameter. One micrometer = 10 − 6 meters. How would you express the diameter of the bacterium in meters using scientific notation? A. 7 . 5 × 10 − 8 B. 750 × 10 − 6 C. 75 × 10 − 5 D. 7 . 5 × 10 − 4

Answers

Answer:

7.5 * 10^-4

Step-by-step explanation:

To express this, we will have to multiply 750 by the conversion unit

we have this as;

750 * 10^-6

750 = 7.5 * 10^2

so we have;

7.5 * 10^2 * 10^-6

= 7.5 * 10^(-6+2)

= 7.5 * 10^-4

The diameter of the bacterium in meters using scientific notation is 7.50 × 10^-4

Length of the bacterium = 750 micrometersOne micrometer = 10^-6

How to write scientific notation

Move the decimal point in between the first and second number

Count the number of digits after the decimal point

Diameter of the bacterium in scientific notation = 7.50 × 10²

Recall one micrometer = 10^-6

So

7.50 × 10² × 10^-6

= 7.50 × 10^(2-6)

= 7.50 × 10^-4

Learn more about scientific notation:

https://brainly.com/question/5756316

The width of a rectang:a is half of its length. If the length is 8 cm, what is
the perimeter of the rectangle?

Answers

Answer:24cm

Step-by-step explanation:

if there is 2 sides  with the same like the length is 8 and 2 sides(8*2)=16

and the width is half (8/2) =4 double for 2 sides (4*2) = 8

8+16

HELP ASAP!!!!
What is the volume of the following cylinder in cubic feet?



35.325 ft3
5,086.8 ft3
61,041.6 ft3
47.1 ft3

Answers

Answer:

35.325

Step-by-step explanation:

I got it right on Oddyseyware

Answer:

35.325

Step-by-step explanation:

its right on odyssey hope this help :]

The sum of X and fifteen

Answers

x+15

depends on the value of x

Answer:

15 + X

Step-by-step explanation:

The Sum means an answer to an adition problem

which is the correct stem-and-leaf plot for the data set.

Answers

Answer:

I just FINISHED THESE QUESTIONS

Step-by-step explanation:

but which plot

8x - 22 = 230 -10x Find what x is​

Answers

18x=252
x=14 lollllll

Answer:

x = 14

Step-by-step explanation:

Here's your solution

=> 8x - 22 = 230 - 10x

=> 8x + 10x = 230 + 22

=> 18x = 252

=> x = 252/18

=> x = 14

hope it helps. 【●●】

Solve for N

4n=2n+6

Please help

Answers

Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ5

4. Ann bought four pens and three exercise books for a total of sh 17 while peter bought five
similar pens and two exercise books for a total of sh.16 find the cost of a pen and an exercise
book.​

Answers

4X+3Y=17
5X+2Y=16

Times 5=20X+15Y=85
Times 4=20X+8Y=64

7Y=21
Y=3,X=2

Answer:

pen = 2    book = 3

Step-by-step explanation:

p= pens

b=books

4p +3b =17

5p+2b=16

Multiply the first by 5

Multiply the second by -4

Add both (p variable will ce cancelled)

20p +15b = 85

-20p  -8b = -64

           7b = 21

              b=3        (book =3)

Lets plug this in one of the equations

4p + 3x3 = 17

4p +9 0 19

4p = 8

p= 2   (pencil = 2)

Due tonight.. *no links*

Answers

Both angle 2 and 4 have the exact same degree. They are both 34 degrees

What is 721295.198715 rounded to the nearest tenth

Answers

Answer:

The answer is 721295.2

Answer:

721,295.2

Step-by-step explanation:

I used the "Rounding Numbers Calculator" on Calculator Soup

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

Answers

This is easy so what I have to do is first

PLEASE HELP!!!
!!!!!

Answers

Answer:

y=63, x=20, x=47, b=70, c=89, x=133

Step-by-step explanation:

1) y=63- alternate angles are the same

2) 4x+5x=180

9x=180

x=20

3) x=47

4) b=70- angles on a line equal to 180

c=89- angles in a triangle add up to 180

5) x=133- angles that are alternate are the same

2. A toy factory produces 280 fidget spinners per day, and
each spinner is tested before it is packaged and shipped. After
testing the first 40 spinners, Carlos finds 3 of them to be
defective. Based on these
results, which of the following is
likely the total number of defective spinners on that day?
F. 7
G. 21
H. 120
J. 240

Answers

Ffffffd hehehebe beene
Answer is 21. Workup in photo below. Good luck.
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