Prove x²+y² = (x+y) (x-y)​

Answers

Answer 1

Answer:

(x+y)(x-y)

x^2 - xy + xy - y^2

x^2 - y^2


Related Questions

Someone pls help??????????????????????????????

Answers

4.75 gallons is 76 cups


Students in Mr. Jacob's class used a number
cube with sides numbered 1 through 6 and a spinner with 4 even-numbered and 4 odd-numbered sections. For each trial, they recorded whether the outcomes for the cube and the spinner were even or odd.


Based on the data in the table, which is closest to the number of times the next 50 trials should result in both the cube and the spinner being even?

A 12

B 25

C 48

D 50

Please explain how you got the answer if you can.. or like a small summary

Answers

Answer:

25.

Step-by-step explanation:

the ratio from even to odd is equal. a half chance of getting even 3:6 & 4:8 [ theres 3 even #s on the cube, 3 odds #s on the cube] vice VERSA!! for either even or odd roll. so out of 50, half of 50 is 25. there's a 1:2 chance of even(or in whatever case) 1:2 = 25:50

In ABC, C = 1.2 inches, a = 7.7 inches and ZB=143°. Find A, to the nearest 10th of
an degree.

Answers

Answer: 32.2

Step-by-step explanation:

I'm about to finish 6th grade and I found out that most of the topics we studied and we are still studying are a bit difficult in math, so what topics I must need to know so I get prepared for 7th grade, would you help me please?

I will appreciate it so much.

Answers

Answer:

How to succeed in 7th grade

Strive for a deeper understanding of science. Instead of just memorizing facts, students learn to collect data, use the scientific method, and apply this information to compose reports and ask questions.

Express complex meanings through writing. ...

Stay ahead of the curve in math classes.

Step-by-step explanation:

y-8=-x solve for y
please show work I'm trying to find the y intercept ​

Answers


x- intercept (- 8, 0), y- intercept (0, 8)

Step-by-step explanation:
To find the y- intercept, let x = 0 in the
equation and solve for y
y = 0 +8 =8 (0,8 ) y -intercept
To find the x- intercept, let y = 0 in the
equation and solve for x
x + 8 = 0 ( subtract 8 from both sides )
x=- 8 (-8, 0) intercept.

If wrong sorry I tried

6x-7y=22
find y when x =-1

Answers

Answer: y=-4
Explanation:
substitute x=-1 into 6x-7y=22
(-6)-7y=22
(-7y)=22+6
(-7y)=28
y=-4

Hope It Helps
Brainliest pls:)

Answer:

y=-4

Step-by-step explanation:

help me pleaseeeeeeeeee ​

Answers

Answer:

10 and 11, The square root of 109 is approximately 10.4 and the two consecutive numbers are 10 and 11.

simplify (6x^2-7x-5)/(3-x)

Answers

Answer:

Simplify   —

           3

Equation at the end of step

1

:

                        5    

 (((6 • (x2)) -  7x) -  —) -  x

                        3    

STEP

2

:

Equation at the end of step

2

:

                     5    

 (((2•3x2) -  7x) -  —) -  x

                     3    

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

                6x2 - 7x     (6x2 - 7x) • 3

    6x2 - 7x =  ————————  =  ——————————————

                   1               3      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6x2 - 7x  =   x • (6x - 7)

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (6x-7) • 3 - (5)     18x2 - 21x - 5

————————————————————  =  ——————————————

         3                     3      

Equation at the end of step

4

:

 (18x2 - 21x - 5)    

 ———————————————— -  x

        3            

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        x     x • 3

   x =  —  =  —————

        1       3  

Trying to factor by splitting the middle term

5.2     Factoring  18x2 - 21x - 5

The first term is,  18x2  its coefficient is  18 .

The middle term is,  -21x  its coefficient is  -21 .

The last term, "the constant", is  -5

Step-1 : Multiply the coefficient of the first term by the constant   18 • -5 = -90

Step-2 : Find two factors of  -90  whose sum equals the coefficient of the middle term, which is   -21 .

     -90    +    1    =    -89

     -45    +    2    =    -43

     -30    +    3    =    -27

     -18    +    5    =    -13

     -15    +    6    =    -9

     -10    +    9    =    -1

     -9    +    10    =    1

     -6    +    15    =    9

     -5    +    18    =    13

     -3    +    30    =    27

     -2    +    45    =    43

     -1    +    90    =    89

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

5.3       Adding up the two equivalent fractions

(18x2-21x-5) - (x • 3)     18x2 - 24x - 5

——————————————————————  =  ——————————————

          3                      3      

Trying to factor by splitting the middle term

5.4     Factoring  18x2 - 24x - 5

The first term is,  18x2  its coefficient is  18 .

The middle term is,  -24x  its coefficient is  -24 .

The last term, "the constant", is  -5

Step-1 : Multiply the coefficient of the first term by the constant   18 • -5 = -90

Step-2 : Find two factors of  -90  whose sum equals the coefficient of the middle term, which is   -24 .

     -90    +    1    =    -89

     -45    +    2    =    -43

     -30    +    3    =    -27

     -18    +    5    =    -13

     -15    +    6    =    -9

     -10    +    9    =    -1

     -9    +    10    =    1

     -6    +    15    =    9

     -5    +    18    =    13

     -3    +    30    =    27

     -2    +    45    =    43

     -1    +    90    =    89

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 18x2 - 24x - 5

 ——————————————

       3      

Step-by-step explanation:

Remi buys a fish tank for $70. The sales tax is 8%. What is the total cost of the fish tank, including sales tax?

Answers

Answer:

$75.60

Step-by-step explanation:

Given:

Remi buys a fish tank for $70. The sales tax is 8%

To Find:

What is the total cost of the fish tank, including sales tax?

Note:

Sales Tax ⇒ Increase ⇒ Add

8% = 0.08

Solve:

$70 × 0.08 = 5.60

$70 + 5.60 = 75.60

Hence, total cost of the fish tank including sales tax is $75.60

~Learn with Lenvy~

What is the value of 1/4 divided by 1/8

Answers

Answer: 2

Step-by-step explanation:

1/4 ÷ 1/8 = 1/4 x 8 = 8/4 = 2

i need help with this​

Answers

Answer:

So you can either buy all roses or all carnations, or spend $30 on each kind:

12 roses

10 carnations

6 roses & 5 carnations

Step-by-step explanation:

If you buy a combination of roses and carnations, the amount of money you spend on each has to be a multiple of both 5 and 6. Since these are relatively prime, their least common is 5(6) = 30.

note: the reason it has to be a common multiple of 5 and 6 is because the total amount - 60 - is a common multiple.

Can you show that this quadrilateral is a parallelogram

Answers

Answer:

This is a parallelogram.

Step-by-step explanation:

This figure has two pairs of paralel sides with completely different angles.

(-1)[-3-(-5)(7)]+(-3+7)(-2)

Answers

[tex](-1)[-3-(-5)(7)]+(-3+7)(-2)\\\\=(-1)[-3-(-35)]+(4)(-2)\\\\=(-1)(32)-8=-40[/tex]

Hope it helps!

how many other faces are congruent to this one​

Answers

Answer:

I believe the answer is 1

Step-by-step explanation:

Hope that helps!

Graph the points (

1.5,4.5) and (

3.5,3.5) on the coordinate plane.

Answers

Answer:

(Please see attachment)

Step-by-step explanation:

Points on the graph:

(-1.5, 4.5), (3.5, 3.5)

Graph of points (-1.5, 4.5) and (-3.5,3.5) is given in attachment.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given points are minus one point five comma four point five and minus three point five comma three point five.

(-1.5, 4.5) and (-3.5,3.5)

A coordinate plane is a tool used for graphing points, lines, and other objects

To point these points first we have to consider two lines, horizontal line and vertical line.

The horizontal line is called as X axis and vertical line is called as Y axis.

Then we have to pair (-1.5, 4.5) and (-3.5,3.5) with (x, y) coordinates.

Hence the given graph is the required answer.

To learn more on Graphs click:

https://brainly.com/question/17267403

#SPJ5

A function is a relation where each input value is assigned to_____one output value
A. exactly
B. less than
C. at least

Answers

The answer is “A. exactly”!

For each input, there is exactly one output in return.

I hope this helped!

A wizard walks into a wand shop to
purchase a magic wand. He chooses
a wand that is 22 cm long. Will the
wand fit into the box shown? Explain.

Answers

No. You can see this because the length of the box is 21, whilst the length of the wand is 22.

Answer:

Yes, it can fit in.

Using Pythagoras theorem:

Find bottom side, hypotenuse

a² + b² = c²

6² + 21² = (bottom side)²

bottom side = √477

bottom side = 3√53 cm

Then find upper diagonal, hypotenuse

(3√53)² + 5² = diagonal²

diagonal = √502

diagonal = 22.4 cm

Thus the wand can fit in the box diagonally.

Which equation can be used to find the perimeter of a regular octagon with sides of length 12 m?
Question 1 options:

P = 8 + 12


P = 8(12)


P = 12 ÷ 8


P = 2(8) + 2(12)

Answers

Answer: P=8(12)

Step-by-step explanation:

A regular polygon has all sides of equal length, meaning a regular octagon has 8 sides of equal length.

Please help me 33/2 + 3y/5 = 7y/10 + 15

Answers

We are given with an equation in variable y and we need to solve for y . So , now let's start !!!

We are given with ;

[tex]{:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}[/tex]

Take LCM on both sides :

[tex]{:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}[/tex]

Multiplying both sides by 10 ;

[tex]{:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}[/tex]

[tex]{:\implies \quad \sf 165+6y=7y+150}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf 7y+150=165+6y}[/tex]

Transposing 6y to LHS and 150 to RHS

[tex]{:\implies \quad \sf 7y-6y=165-150}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}[/tex]

Find the perimeter of the parallelogram with these vertice
(3,5), (-4, 2), (3, 1), (-4,-2)

Answers

Answer:

24 is your answer

Step-by-step explanation:

I first brought one side up as the other went down.

Then found the base and the side and added them all to get

8 as base and 4 multiply both by two then add to get 24

hope this helped.

A brainliest is always appreciated.

Evaluate the expression (9 + 14i) + (7 – 11i) and write the result in the form a + bi.

Answers

Answer:

16+3i

Step-by-step explanation:

(9+ 14¡) + (7 - 11¡)

9+ 14¡ + 7 - 11¡

16 + 3i

Questions in the picture

Answers

Answer:

18

Step-by-step explanation:

Solve the question in steps

(8+36)/11

44/11=4

Now you have 4+7x2

You do multiplication first

4+14=18

Select the expression that has a sum of seventy-four hundredths.

A seventy hundredths plus four tenths
B sixty eight-hundredths plus six tenths
C six tenths plus twelve hundredths
D four-tenths plus thirty-four hundredths

Answers

It should be D

Explanation:
“Four-tenths (0.4) plus thirty-four hundredths (0.34).”

0.4
0.34
——-
0.74

Hope this helps! :D

The rectangle below has an area of x2 – 25 square meters and a length of x + 5 meters.
What expression represents the width of the rectangle?

Answers

Answer:

Width: x - 5

Step-by-step explanation:

x² - 25

x² - 5²

(x - 5)(x + 5)

Step-by-step explanation:

This data set represents the widths in yards of pieces of fabric used by a sewing group.

What is the mean of this data set?

{113, 14, 23, 12, 114}

Enter your answer as a fraction in simplest form in the box.

help

Answers

The mean of the data set in simplest form is: 4/5 yard.

What is the Mean of a Data Set?

Mean = sum of all values in the data set divided by the number of values in the data set.

Mean of the data set = (1 1/3 + 1/4 + 2/3 + 1/2 + 1 1/4)/5

Convert the mixed fractions to improper fractions

(4/3 + 1/4 + 2/3 + 1/2 + 5/4)/5

[(16 + 3 + 8 + 6 + 15)/12]/5

(48/12)/5

= 4/5

Therefore, the mean of the data set in simplest form is: 4/5 yard.

Learn more about mean of a data set on:

https://brainly.com/question/11015069

Answer:

The answer is 4/5 yds hope this helps  :DD

Step-by-step explanation:

Answer for: k12 5.02 Quiz: Mean

12.
Sandra and Emil are both house painters,
and each charges an hourly rate for a
painting job. The equation y = 13r shows
the total charge, y, in dollars, for hiring
Sandra to paint a house for *hours. The
table below shows the same information
for Emil.
Emil's Charges
2 4 6 8
26 52 78 104

Answers

b. if u have wdgenuity it’s B i took the test

What is 80% of 150? Please help

Answers

Answer:

the answer is x=120

Step-by-step explanation:

look at the photo for the mathematical explanation

Write [tex]\sqrt{8}[/tex] in the form [tex]4^n[/tex] - I'm doing GCSE maths and have no clue how to do this without a calculator.

Answers

V8 ENGINE

Step-by-step explanation:

An angle measureless 60 degrees the measure of it complementary angle. What is the measure of each angle

Answers

Step-by-step explanation:

Finally complement of the supplement of twice the angle 60°=90°-60°=30

60 degrees angle is an acute angle because it is less than 90 degrees. 60° in radians is π/3 and the measure of each angle of an equilateral triangle is 60°. Therefore, it is also called a 60-degree angle triangle.

please mark me as brainlist please

Given :

An angle which measures less 60° the measure of its complementary angle.

To Find :

The measure of its complementary angle.

Solution :

Let's assume the one of the complementary angle as "x" and the other angle as (x - 60)° .

Now,

According to the Question :

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + (x - 60) {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + (x - 60) {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + x {}^{ \circ} - 60 {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{{2x}^{ \circ} = {90}^{ \circ} + 60 {}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{{2x}^{ \circ} = 150 {}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x = \dfrac{150 {}^{ \circ}}{2 {}^{ \circ}} }}

[/tex]

[tex]\: \qquad \dashrightarrow \bf{{{x}^{ \circ} = 75 {}^{ \circ} }}

[/tex]

Therefore,

One angle = 75°Other angle = 75° 60° = 15°

Henceforth ,

The measure of the two angles are 75° and 15° .

4. A deposit of $1000 is made into a savings account that pays 4% annual interest compounded monthly
a. How much money will be in the account after 6 years?
b. How long will it take for the $1000 to double?

Answers

Using compound interest, it is found that:

a) $1,270.70 will be in the account after 6 years.

b) It will take 17.53 years for the $1000 to double.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.

In this problem, the parameters are given as follows:

[tex]A(0) = 1000, r = 0.04, n = 12[/tex]

Item a:

Over 6 years, that is t = 6, thus:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(t) = 1000\left(1 + \frac{0.04}{12}\right)^{12 \times 6}[/tex]

[tex]A(t) = 1270.7[/tex]

$1,270.70 will be in the account after 6 years.

Item b:

This is t for which A(t) = 2P = 2000, hence:

[tex]2000 = 1000\left(1 + \frac{0.04}{12}\right)^{12t}[/tex]

[tex](1.0033)^{12t} = 2[/tex]

[tex]\log{(1.0033)^{12t}} = \log{2}[/tex]

[tex]12\log{(1.0033)} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{12\log{1.0033}}[/tex]

[tex]t = 17.53[/tex]

It will take 17.53 years for the $1000 to double.

More can be learned about compound interest at https://brainly.com/question/25781328

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