Factorise :
[tex] \sf{ {x}^{2} - 4x - 21 + 10y - {y}^{2} }[/tex]
Show workings too!​

Answers

Answer 1

Answer:

(x - y + 3)(x + y - 7)

Step-by-step explanation:

x^2 - 4x - 21 + 10y - y^2

= x^2 - y^2 - 4x -21 + 10y

= (x - y)(x + y) - 4x + 10y - 21     Now -21 = + 3 * -7   and +3x - 7x =- 4x so we try:

= (x - y + 3)(x + y - 7)

- this expands to the original expression.

Answer 2

Answer:

(x+y-7)(x-y+3) is your answer

Step-by-step explanation:

x²-4x-21+10y-y²

x²-4x+2²-2²-21+10y-y²

(x-2)²-(y2-10y+25)

(x-2)²-(y-5)²

(x-2+y-5)+x-2-y+5)

(x+y-7)(x-y+3)


Related Questions

Solve for x

x to the power of 2 = 1/4

Answers

The answer is above is just the prior knowledge to understand this and to know this is understand X is a metal volume

The closest perfect square less than 2592

Answers

The closest perfect square would be 50^2=2500

The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?

Answers

Answer:

9km

Step-by-step explanation:

If the distance on the map of 8cm between her house and school is equal to 12km actual distance. This means that each cm on the map represent 1.5km in actual distance (12/8=1.5).

This means that D is equal to 9km actual distance, because if each cm represents 1.5km, then 6 cm represents 9km (6x1.5=9).

Hope this helped!

Answer:

       B

Step-by-step explanation:

9 km

Solve the equation 8x
- 5 = 7.​

Answers

X = 12 / 8 = 1.5
Mark as branliest

Answer:

[tex]8x - 5 = 7[/tex]

[tex]8x = 7 + 5[/tex]

[tex]8x = 12[/tex]

[tex]x = \frac{12}{8} [/tex]

[tex]x = \frac{3}{2 } \: or \: 1.5[/tex]

In 3x² - x + 5 = 0, what is the quadratic term

Answers

Step-by-step explanation:

Quadratic term = Coefficient of x^2 term = 3.

the answer would be x squared for this equation

Find the area 10yd, 4yd, 10yd, 13yd and 8yd​

Answers

Answer:

41,600yd's is the area....

what number set does 24 belong to?

Answers

Answer:

even numbers

Step-by-step explanation:

its latter digit is divisible by 2

Even number is the answer

Use inductive reasoning to determine the next three terms in the sequence. 3, -6, 12, -24, 48,

Answers

Answer:

The next three terms in this sequence will be, -96, 192, and -384.

Hope this helped have a blessed day

Step-by-step explanation:

Connor bought a baseball card eight years ago that has depreciated by $120 since he purchased it. Find the average yearly change in value of the card.

Answers

Answer:

The average yearly change in the value of the card is $15/year

Step-by-step explanation:

Here in this question, we are interested in calculating the average yearly change in the value of the card.

From the question, we can see that the value of the baseball card has depreciated by $120, thus we simply want to calculate the average yearly charge in the card value.

Mathematically, that would be ;

the total depreciation value/ number of years

From the question, the total depreciation value is $120 while the number of years is 8

Thus; the average yearly change in value of the card = 120/8 = $15/year

Your school's drama club charges $10 per person for admission to a play. The club borrowed $400 to pay for costumes and props. After paying back the loan, the club has a profit of $100. Write an equation. Let x represent the number of people who attended the play.

Answers

Answer:

10x + 400 - y = 100

Step-by-step explanation:

Answer:

50 people came to the play

Step-by-step explanation:

Let x be the amount of people that attended the play

10x=400+100

10x=500

divide by 10 on both sides

50 people came to the play

400+100=500

40 people is $400 for the props

10 people makes $100

Hope this helps :-)

what 5 times a number b is

Answers

Answer:

2.5 x 2 = 5 Hope That Is What Your Looking For

Answer:

5b

Step-by-step explanation:

5 times number b is 5 * b.

In math, we can shorten the writing of a multiplication by a variable by not writing the multiplication sign.

5b means 5 * b

Answer: 5b

solve a/3 + 4 = 6
a=

Answers

Answer:

a = 6

Step-by-step explanation:

Given

[tex]\frac{a}{3}[/tex] + 4 = 6 ( subtract 4 from both sides )

[tex]\frac{a}{3}[/tex] = 2 ( multiply both sides by 3 to clear the fraction )

a = 6

Answer:

a=6

Step-by-step explanation:

a/3=6-4

a/3=2

a=6

A number is five less than one fourth of itself​

Answers

Answer:

x = 1/4x - 5

Step-by-step explanation:

Step 1: Translate from word to math

A number = x

five less = -5

one-fourth = 1/4

of itself = x

Step 2: Combine

x = 1/4x - 5

Heather is putting together a square bulletin board for her new room, and the area of the bulletin board is 196 cm2. What is the total distance around the bulletin board?

Answers

Answer:

the total distance is 56 cm

Step-by-step explanation:

Given that the area of the bulletin board is 196 cm^2

Based on this, the total distance around the bulletin board is

But before that we need to find out the side

As the area of square is

= side^2

196 = side^2

So side = 14

Now there are four sides, so the total distance is

= 4 × 14

= 56 cm

Hence, the total distance is 56 cm

Answer:

56 cm

Step-by-step explanation:

Find the measures of the angles of a triangle if the measure of one angle is three times the measure of a second angle and the third angle measures 3 times the second angle decreased by 30.

Answers

Answer:

90°,30°,60°

Step-by-step explanation:

hope it helps

What is the length of NO?
N= (7,-4)
O=(-7,-4)

Answers

Answer:

I believe it would be 14.

Step-by-step explanation:

The distance between 7 and -7 should be 14.

The length of NO is 14 units

What is the length of NO?

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the length is given by:

d =√((x2 – x1)² + (y2 – y1)²)

We:

N= (7,-4) : x1 = 7 , y1 = -4

O = (-7,-4): x2 = -7 , y2 = -4

Using the formula with the given values:

d=√((-7 – 7)² + (-4 – (-4))²)

d=√((-14 )² + (0)²)

d=√196

d= 14

Therefore, the length of NO is 14 units

Learn more about the distance between two points on:

brainly.com/question/17704491

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A farmland is 30cm long and 15cm wild what is the area of the farmland

Answers

Step-by-step explanation:

length(l)= 30cm

Breadth(b)=15cm

Area=l×b

=30×15

=450cm^2

it is 30 then 15 cm long its mean 45 answer


Changes to the cities and the environment:

1) List some ways in which the Tokugawa Shogunate strengthened Japan's economy.


2) How did rice production change?


3) Why were more roads required around Edo as the city grew?


4) Why was timber such an important resource in medieval Japan?


5) Describe the environmental policies introduced to protect forests and change the way timber was harvested.


6) Write a paragraph to explain, in broad terms, the impact that the Tokugawa shogunate had on Japan.​

Answers

Answer:

Sorry i don't really know all of the question but I hope the ones I know help.

Step-by-step explanation:

The second questions answers is:

The most significant change in rice production technologies started from 2000 to 2013 and it was the introduction and adoption of new rice seed varieties. Southern rice producers increased it by planting Hybrid and non-genetically modified herbicide.

The third questions answer;

more roads were required cause Edo grew into a huge city with a lot of buildings and they needed road.

The fourth question answer; timber was important cause it was used to supply construction needed for the growing of population in the peaceful time. some places like the Shogun Leyasu and many of the Daimyo started building huge castles and templates to show their power to each other.

what is 1/8 plus 4/5

Answers

Answer: 37/40

=1/8+4/5= 5+32/40
=37/40

k (n) = 4n – 4; Find k (8)
28
4
-32
-24
The answer

Answers

Answer:

Step-by-step explanation:

k(8) = 4(8) - 4

     = 32 - 4

     = 28

answer is A

What is the answer to this

-5 + 7

Answers

2.


-5+7 is basically 7-5. So since they are equivalent equations they will equal the same thing. 2.

Which expressions are equivalent to 4(4a + 5) ? 3 answers ​

Answers

Answer:

16a+20

Step-by-step explanation:

4(4a+5) -----Distributive property

16a+20

Hope this helps ;) ❤❤❤

Write the equation of the line, with the given properties, in slope intercept form slope = -2, through(-4,7)

Answers

Answer:

y= -2x + 7

Step-by-step explanation:

So in slope intercept y will always equal something so you start with

y= mx + b

m = slope and b = y-intercept

so in this case it would first be

y = -2x + b

and then since we have the point it passes through (-4,7) we know that the line passes through the y axis at 7 hence the y value is 7.

so you finally get

y=-2x+7

The equation of line passes through the point (-4, 7) will be;

⇒ y = - 2x - 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-4, 7).

And, The slope of the line is,

⇒ m = - 2

Now,

Since, The equation of line passes through the point (- 4, 7).

And, Slope of the line is,

m = - 2

Thus, The equation of line with slope - 2 is,

⇒ y - 7 = - 2 (x - (-4))

⇒ y - 7 = - 2 (x + 4)

⇒ y - 7 = - 2x - 8

⇒ y = - 2x - 8 + 7

⇒ y = - 2x - 1

Therefore, The equation of line passes through the point (-4, 7) will be;

⇒ y = - 2x - 1

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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What’s the 10th term in 1,4,6,10

Answers

Answer:

Step-by-step explanation:

Feb 8, 2017 - an=12n(n+1). Explanation: These are recognisable as triangular numbers, but let's use a general method for finding matching polynomial ...

1 answer

How do I solve equations bt extracting square roots?
Ex.
[tex]3(x + {4)}^{2} = 8[/tex]

Answers

Answer:

[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]

Step-by-step explanation:

[tex]3(x+4)^2 =8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left(x+4\right)^2}{3}=\frac{8}{3}\\\\Simplify\\\left(x+4\right)^2=\frac{8}{3}\\\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}\\g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+4=\sqrt{\frac{8}{3}}:\\\quad x=\frac{2\sqrt{6}}{3}-4\\\\\\\mathrm{Solve\:}\:x+4=-\sqrt{\frac{8}{3}}:\\\quad x=-\frac{2\sqrt{6}}{3}-4\\[/tex]

[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]

Determine the measure of the angle labeled (4x+7)°.

Answers

Answer:

  39°

Step-by-step explanation:

It is the same measure as the one labeled 6x-9, since these are vertical angles.

  4x +7 = 6x -9

  16 = 2x . . . . . . . . add 9-4x

  8 = x

  4x+7 = 4(8) +7 = 39

The angle is 39°.

how do i get points?

Answers

Answer:

answer questions :)

Step-by-step explanation:

Answer:

sorry i just need points

Step-by-step explanation:

Simplify the expression: y9 * y-2

Answers

Answer:

[tex]y^7[/tex]

Step-by-step explanation:

If we want to simplify the expression [tex]y^9 \cdot y^{-2}[/tex], we have to note that exponent rules state that [tex]x^a \cdot x^b = x^{a+b}[/tex].

This means that if we add the exponents, that will be what we raise y to the power of.

[tex]9 + -2 = 9-2 = 7[/tex]

So [tex]y^7[/tex].

Hope this helped!

find the light of the third side

Answers

Answer:

I'm not sure if this is what your looking for but the answer should be √11

Step-by-step explanation:

its in the picture....

please do give me brainliest if i was able to help you.

thank you and have a good day

Someone help please! I really need to finish this today.

Answers

Answer:

             m∠E = 43°

Step-by-step explanation:

AB║CD  ⇒  m∠AGH  = m∠CHF = 119°   {corresponding angles}

m∠BGE = m∠AGH = 119°     {vertical angles}

m∠BGE + m∠B + m∠E = 180°     {sum of angles in triangle}

119° + 18° + m∠E = 180°

m∠E = 180° - 137° = 43°

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