formula of a square minus b square​

Answers

Answer 1

Answer:

(a+b)(a-b)

Step-by-step explanation:

[tex]\\ \sf\longmapsto (a+b)(a-b)[/tex]

[tex]\\ \sf\longmapsto a(a-b)+b(a-b)[/tex]

[tex]\\ \sf\longmapsto a^2-ab+ba-b^2[/tex]

[tex]\\ \sf\longmapsto a^2-ab+ab-b^2[/tex]

[tex]\\ \sf\longmapsto a^2-b^2[/tex]

Answer 2
According to the question

[tex]\large\bf{\orange{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: (a + b) \quad \: (a - b)[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: a \: (a - b) \quad \: b \: (a - b)[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ba \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ab \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: \cancel{ab} \: + \: \cancel{ab} \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]


Related Questions



7. When running you discover you are only in second place. You were initially running at a speed of 18 km/h and
increase your speed to 21 km/h. It takes you 3 seconds to speed up to your new rate. What is your
acceleration

Answers

Step-by-step explanation:

check it out.

Hope it helps.

Hope you understood this. If not plz let me know.

Angelique travels 75 miles. Jamila travels 115 kilometres. Show that Angelique has travelled futher than Jamila.

Answers

Answer:

Angelique has traveled further than Jamila by about 6 km.

Step-by-step explanation:

Make them the same unit (I will make them both kilometers)

There is about 1.609 km in 1 mile

75 miles * 1.609 km/1 mile = 120.675

120.675 km>115 km

solve for x ! please help (show work)

Answers

Answer:

x = 1/2

Step-by-step explanation:

8(-2x+1) =0

Divide each side by 8

-2x+1 = 0

Add 2x to each side

-2x+1+2x = 2x

1 = 2x

Divide by 2

1/2 = 2x/2

1/2 =x

Answer:

1/2

Step-by-step explanation:

8(-2x+1)=0

Use distributive property first

-16x+8=0

Subtract 8 on both sides

-16x=-8

Divide both sides by -16 to get x by itself

x=0.5

Which is also equal to 1/2

Therefore, x is equal to 1/2

(x
3
+y
3
)(xy
4
+7)

Answers

Answer:

question is not proper

Step-by-step explanation:

question is

Find the greatest common factor of 65a3b4 and 39a4b5.

Answers

Step-by-step explanation: Let's begin by finding the

greatest common factor for the numbers 65 and 39.

I would make a factor tree and break up 65 and 39.

So 65 is 13 x 5 and 39 is 13 x 3.

Since the 13's match up, the greatest

common factor between 65 and 39 is 13.

For the variables, we use the smallest power on each of them.

So we use a^3 and b^4 to get 13a^3b^4 as our GCF.

Graph the equation
y = 5x
Use the graphing tool to graph the line.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You want a line that goes through (0, 0) and has a slope of 5. That means it will also go through (1, 5) and (2, 10), for example. I like the attached graphing tool because it will draw the graph directly from the equation.

Graphs of the following equations are straight lines except :
A. 3x+2y=8
B. y=x/2-5
C. x=4y
D. y=x^2+3

Answers

Answer:

D.

Step-by-step explanation:

D. This contains an x^2 and is called a parabola ( curved line like a U).

Answer:D

Step-by-step explanation: d is the correct answer

Any number that CAN be divided by 2 without having remainder is considered an _______ number

Answers

Step-by-step explanation:

Any number that can be divided by 2 without having remainder is considered an even number.

I hope it helped U

stay safe stay happy

In order to encourage pema to do her mathematics problems, her dad promise to pay Nu 5 for every problem She gets right, but he would take away Nu 3 for any moblem she missed. After working 20 problems, Pema was paid Nu 6o. How many problems did she solve correctly?​

Answers

The solution to he word problem leading to simultaneous equation is as follows;

The number of problems Pema is able to solve correctly is 15 problems

The method by which we arrived at the above value is as follows:

The given parameters of the question are;

Amount Pema's dad promise to pay her for every problem she gets right = Nu 5

Amount he would take away for any problem missed = Nu 3 (Therefore, Nu -3)

Amount Pema was paid after working 20 problems = Nu 60

Solution;

Let x represent the number of problems she gets right (solves correctly), and let y represent the number of problems she missed, we have the following system of (simultaneous) equations;

x + y = 20...(1)

5·x - 3·y = 60...(2)

Multiplying equation (1) by 3 and adding the result to equation (2) gives;

3 × (x + y = 20) 3·x + 3·y = 60

[tex]{}[/tex]   5·x - 3·y = 60

+ 3·x + 3·y = 60

  [tex]{}[/tex]8·x + 0 = 120

x = 120/8 = 15

x = 15

The number of problems she solves correctly, x = 15

Learn more about word problem leading to simultaneous equations here;

https://brainly.com/question/14294864


Which point on the number line shows the graph

Answers

Answer:

B

Step-by-step explanation:

Evaluate each expression if r = 3,q = 1, and W =-2

Answers

Answer:

2) - 12

3) - 1

4)y = 8

5)r = 4

6)x= -7/29

Hope it helps you

what is the volume of a hempisphere with a radius of 9.7 cm rounded to the nearest 10th of a cubic centimeter

Answers

Answer:

volume of hemisphere =1912.26cm^3

Step-by-step explanation:

is f(x)=sqrt{x}+3x an exponential function?

Answers

No, because in order to have an exponential function the value ‘e’ should be raised to a value of x. Since ‘e’ is not in this function, is is not an exponential function

HELP!!!!! ASAP I'm getting confused and It's to long to solve it online!

Answers

Answer:

Step-by-step explanation:

Simplify the equation
(X 2/5) 10

Answers

Answer:

x^4

Step-by-step explanation:

x^(2/5) ^10

We know that a^b^c = a^(b*c)

x^(2/5*10)

x^4

Answer:

[tex]{x}^{4} [/tex]

Step-by-step explanation:

[tex] ({x}^{ \frac{2}{5} } ) ^{10} \\ {x}^{ \frac{2}{5} \times 10} \\ {x}^{ \frac{20}{5} } \\ {x}^{4} [/tex]

Which expression is equivalent to the following complex fraction?

Answers

Answer:

The correct choice is option B. y+1/y-1

Step-by-step explanation:

I need help please anyone ?????!!!

Answers

answer:

2 on the picture is the amplitude

What is the wavelength of light with 5.53 x 10-19 J of energy? (The speed of
light in a vacuum is 3.00 x 10 m/s, and Planck's constant is 6.626 10-34
J•s.)
A. 399 nm
B. 278 nm
C. 250 nm
D. 359 nm

Answers

Answer:

D. 359 nm

[tex]{ \boxed{ \bf{ energy = \frac{hc}{ \lambda} }}} [/tex]

lambda is the wavelength

c is the speed of light

h is the Planck's constant

[tex]{ \sf{5.53 \times {10}^{ - 19} = \frac{(6.626 \times {10}^{ - 34}) \times (3.00 \times { {10}^{8} }) }{ \lambda} }} \\ \\ { \sf{\lambda = 3.59 \times {10}^{ - 7} }} \\ { \sf{\lambda = 359 \: nm}}[/tex]

State two similarities and one difference between the graphs of f(x)= 3^x and g (x)= (1/3) ^x

Answers

Answer: the similarities is that they both intercepted at one point (0,1) and the difference is that f(x) is reaching positive infinity but g(x) is reaching negative infinity.

Please help brainliest will be given

Complete the equation describing how
x and y are related.
x
-1
5
0 1 2 3 4
3 8
V 2
13
18
23
28
y = 5x + [?]
Enter the answer that belongs in [?].

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

When x = 0 y = 3 so the y-intercept will be 3

And the equation is y = 5x + 3 where the slope is 5

through how many degrees does the hour hand of a clock move in 10 hours

Answers

Answer:

120 degrees move in 10 hours

Simplify (6z-4y+2x)+(3z-5x+2y)

Answers

Answer:

9z-2y-3x

Step-by-step explanation:

(6z-4y+2x)+(3z-5x+2y)

Combine like terms

6z+3z-4y+2y+2x-5x

9z-2y-3x

Answer:

-3x - 2y + 9z

Step-by-step explanation:

Since you are adding two polynomials, the parentheses are unnecessary, so you can just drop them. Then combine like terms. Like terms are terms that have the same variable part such as 6z and 3z.

(6z - 4y + 2x) + (3z - 5x + 2y) =             Original problem.

= 6z - 4y + 2x + 3z - 5x + 2y                 Drop unnecessary parentheses.

= 2x - 5x - 4y + 2y + 6z + 3z                 Rearrange terms to group like terms.

= -3x - 2y + 9z                                        Combine each set of like terms.

Answer: -3x - 2y + 9z

Jua Kali Products Ltd has been in operation for the last 10 years. Its annual revenue and cost functions take form of quadratic functions. The following data was obtained from the records of the company. Year 2017 2018 2019 Units produced and sold (000) 5 10 15 Revenue (sh000) 1900 3600 5100 Cost (sh000) 7525 7100 6725 Required: The revenue and cost functions (10 marks) The breakeven number of units (5 marks)​

Answers

Answer:

Step-by-step explanation:

vxcvxcvxcvxcvxcvcxvxcbcvbcvnxcgjfgjfgjghjghjghjghj

The revenue function is y₁ = –4x² + 400x, the cost function is y₁ = x² – 100x + 8000, and the break-even number of units is 20 or 80.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Jua Kali Products Ltd has been in operation for the last 10 years.

Its annual revenue and cost functions take the form of quadratic functions.

The following data was obtained from the records of the company.

Year          Unit Sold            Revenue             Cost

2017              5                        1900                 7525

2018             10                       3600                7100

2019             15                        5100                6725

We know that the quadratic equation is given as

[tex]\rm y = ax^2 + bx + c[/tex]

Let y₁ be the revenue function, y₂ be the cost function and x be the unis sold.

Then the revenue function will be

1900 = 25a + 5b + c  ...i

3600 = 100a + 10b + c  ...ii

5100 = 225a + 15b + c  ...iii

From equations (i), (ii), and (iii), we have

a = –4, b = 400, and c = 0

Then the revenue function will be

y₁ = –4x² + 400x

Similarly, the cost function will be

7525 = 25a + 5b + c  ...1

7100 = 100a + 10b + c  ...2

6725 = 225a + 15b + c  ...3

From equations 1, 2, and 3, we have

a = 1, b = –100, and c = 8000

Then the cost function will be

y₁ = x² – 100x + 8000

For the break-even units, the cost function and the revenue function will be equal. Then we have

[tex]\begin{aligned} x^2 -100x + 8000 &= -4x^2 + 400x\\\\5x^2 -500x + 8000 &= 0\\\\x^2 - 100x + 1600 &= 0\\\\x^2 - 80 x - 20x + 1600 &= 0\\\\x(x-80) - 20 (x-80) &= 0\\\\(x-80)(x-20) &= 0\\\\x &= 20, 80 \end{aligned}[/tex]

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Find the product: 12 x 3/5 =

Answers

Answer:

12 x 3/5 = 7 1/5

Step-by-step explanation:

12 x 3/5

Add 1 below 12 as a denominator to make it an improper fraction

= 12/1 x 3/5

Multiply numerators from both fractions as long as the denominators:

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

36/5 SIMPLIFIED IS 7 1/5

Hope this helps!

Answer:

36/5 = 7.2 = 7 1/5

Step-by-step explanation:

12 x 3/5

Change 12 into fraction form to make it easier.

12/1 x 3/5

Now multiply the numerators and the denominators.

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

If you don't want the answer as an improper fraction, 36/5 = 7.2 which is also equal to 7 1/5

Change the following to percentages:
a) 83 out of 100
b) 24 out of 50
c) 9 out of 25
d) 7 out of 20
e) 6 out of 10
f)72 out of 200
g)12 out of 40
h)36 out of 60

Answers

Answer:

a.83%

b. 48%

c.36%

d.35%

e.69%

f.36%

g.30%

h.69%

PLS HELP! VERY URGENT PICTURE INCLUDED!!

Answers

Answer:

y = 6x ^2 - 6x + 9

Step-by-step explanation:

hopefully it's visible

:)

Một doanh nghiệp trong thị trường cạnh tranh hoàn hảo có hàm tổng chi phí TC=100q2+50q+9. Giá và sản lượng đóng cửa của doanh nghiệp này là

Answers

I do not speak this language, could you translate it to English

What is the 21st term of the sequence with a1 = -6 and d = 4?

a) 70
b) 74
c) -40
d) 78

Answers

Answer:

74

Step-by-step explanation:

for this question you have to use the formula of the nth term which is Tn=a+(n-1)d,

T21=-6+(21-1)4

=-6+(20)4

=-6+80

=74

I hope this helps

Consider the function f(x) = square root of x+3
a. In your own words, explain the meaning of f'(2).
b. Now using mathematical notation, write f'(2) as a limit.

(Plz hurry and help meee)

Answers

Step-by-step explanation:

f'(x) is usually used in calculus to denote the first derivative of f(x) so f'(2) will simply be the first derivative of f(2).

f(x)=x+3

f'(x)=1

thus x does affect the first derivative and your answer for f'(x)=1

The ray EG is the angle bisector of DEF and m DEF = 84º.
Find mDEG.
mDEG =
degrees

Answers

42 degrees. Since the Ray is the angle bisector, that means it divides angle DEF into two angles with equal measure. So, divide 84 by 2 to get 42.
Other Questions
The following is a student draft. It may contain errors.Trash Management (1) Every day, people discard something or the other in garbage cans. (2) According to recent data, Americans throw trash that can fill 63,000 trucks every day. (3) How will humans be able to manage so much trash at this rate? (4) And, do people ever spare even a second from 86400 seconds of a day to think where all this garbage goes? (5) Managing trash is assuming serious threats today, and the turnover of the garbage is estimated to increase three times by the end of the century. (6) Trash is managed in different ways. (7) Some of it is buried, some of it is thrown into dumping grounds, while some of it is burned. (8) But all these methods create other issues. (9) Burying and dumping trash can only be done up to an extent after which the garbage starts piling and starts spreading diseases. (10) While burning trash may get rid of it instantly, the smoke that it creates, in turn, pollutes the air. (11) It is a good idea to use and reuse things to reduce waste so that we do not face issues with trash management in the future. (12) For example, cookie jars and tins could be reused to store pulses, lentils, flour, or spices. (13) Most importantly, each one should develop the habit of donating books, clothes, and toys to those in need and not throw them in the trash. (14) Everyone's primary aim should be to reduce waste, which in turn will lift the pressure of managing it.Select the correct answer.Which statement best describes the purpose of the paper? ( the reading at the beginning )A. to list ways to solve waste management issuesB. to emphasize the problems of trash managementC. to describe how to manage trashD. to show how to reduce waste Show why (237)^4 = 2^4 3^4 7^4 show work what is Collatz conjecture?Is Collatz conjecture always true? What so special about 3x+1 ? A candy store owner wants to mix some candy costing $1.25 a poundwith some candy costing $1.45 a pound to make 50 pounds of candycosting $1.30 a pound. How much of the $1.25 a pound candy shouldshe use? Imagine you could live anywhere in the world based on a location's climate. What location would you choose? Use this resource and theinformation in the tutorial to help you answer the following questions about your location of choice. What is the nearest ten for the point shown on the number line below? HELPPPPMatch each map type to its description. Drag the items on the left to the correct location on the right Finance A bicycle shop hires road bikes for 25 per day and tandems for 40 per day. One day a family pays 155.a Which type of bicycles did they hire?b How many people are in the family? chng minh: Cc b phn ca ngn ng pht trin khng ng u. In part A of the lab we see that the magnetic field of a long straight wire __. a. increases with distance in a linear relationship b. increases with distance in a non-linear relationship c. decreases with distance in an inverse (1/r) relationship d. decreases with distance in an inverse-square (1/r2) relationship Solve for x.5x 3 = 2x +12 X cubed = 343^-1 find the positive value of x Find the area and the perimeter of a triangle (shown below)PLZZZ Write on the principle And other application ofA Named instrument Employed in unlocking frozen glass joints Solve for b.-32 + 10b = -22 PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!! Lisa is on the west shore of Mighty River, which is 1 mile wide and has two parallel shorelines running exactly north-to-south. She wishes to get to a point on the opposite shore that is 1 mile south of where she is now as quickly as possible. (So this point is sqrt (2) miles due southeast from her starting position.) Assuming that Lisa can walk twice as fast as she can swim, and that she wants to swim across the river first before walking any necessary distance along the opposite shoreline, at what course (in degrees) should she start swimming?(The angle is measured from north, so 90 degrees is due east, meaning she swims directly across the river, and 135 degrees is due southeast, meaning she swims directly to her destination point.) What is the perimeter of the triangle? m/HCB = 60, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x Find the midpoint of the segment with the given endpoints.(7,10) and (-1,- 8)