2. find out the h.c.f

2. Find Out The H.c.f

Answers

Answer 1

2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

= x( x-3) + 2 (x-3)

= x2 - 3 x+ 2x -6

= x(x-3) + 2(x-3)

=(x-3) ( x+ 2)

HCF = (x-3)


Related Questions

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!!

Answers

Answer: c

Step-by-step explanation:

The correct answer is option C i.e. all of the options

Question : Why did I choose the answer as option C

Reason : To assure it we'll match all the options with the figure

First of all in the given figure all the sides and angles are equal hence, we can refer it as regular

Secondly, It is convex because all the parts are pointing outwards and inner ones are not more than 180°

Finally, As it has 8 sides it is an octagon

Now, we can see all the three options are matching leaving C which states all of these options, hence C is correct

Extras :

1) What is Octagon ?

ans :- Octagon is an 8 sided polygon

2) What is a regular polygon ?

ans :- Any polygon which has equal angles and sides is known as a regular polygon.

3) What is convex ?

ans :- A convex is a shape where all the parts points outwards and interior angles are not more than 180°

Find the values of the unknown angles marked with letters. 50 points!!!!!!!
a ?
b ?
c ?
d ?

Answers

Answer:

a = 115°, alternate interior angles are congruentb = 70°, same as abovec = 180° - 115° = 65°, angles forming a straight angle are supplementaryd = 180° - 70° = 110°, same as above

a=115°(Alternate interior angles)b=70°(Alternate interior angles

C:-

[tex]\\ \sf\longmapsto c+115=180[/tex]

[tex]\\ \sf\longmapsto c=180-115[/tex]

[tex]\\ \sf\longmapsto c=65°[/tex]

D:-

[tex]\\ \sf\longmapsto d+70=180[/tex]

[tex]\\ \sf\longmapsto d=180-70[/tex]

[tex]\\ \sf\longmapsto d=110°[/tex]

(2.75 x 107) + (1.23 x 108) simplify

Answers

Answer:

427.09

Step-by-step explanation:

(2.75 x 107) + (1.23 x 108)

294.25 + 132.84 = 427.09

Which of the following equations has exactly one solution?
A. 4x – 4 + 2x = 6x - 4
B. 2(4x + 5) = 8x + 10
C. 4x - 8 = 4(x - 4)
D. 3x + 5 = 2x - 6

Answers

A. 4X+2X-6X = -4+4
A. 0X = 0 Every number

B. 8X+10 = 8X+ 10
B. 8X -8X = 10-10
B. 0X = 0. Every number

C. 4x -8 = 4X -16
C. 4x-4x = -16+ 8
C. 0x = -8 >>no solution

D. 3X + 5 = 2x -6
D. 3x-2X = -6-5
D. x = -11 one solution

Answer D

The equation with exactly one solution is  3x + 5 = 2x - 6. Option D is correct.

To determine which equation has exactly one solution, we need to solve each equation and see if we end up with a unique value for 'x'.

4x – 4 + 2x = 6x - 4

Combine the x terms on the left side: 6x - 4 = 6x - 4

This equation is an identity and holds true for all values of x. It doesn't have a unique solution.

B. 2(4x + 5) = 8x + 10

Distribute the 2 on the left side: 8x + 10 = 8x + 10

Similar to the previous equation, this equation is also an identity and holds true for all values of x.

It doesn't have a unique solution.

4x - 8 = 4(x - 4)

Distribute the 4 on the right side: 4x - 8 = 4x - 16

Subtract 4x from both sides: -8 = -16

This equation is contradictory and has no solution.

3x + 5 = 2x - 6

Subtract 2x from both sides: x + 5 = -6

Subtract 5 from both sides: x = -11

This equation has a unique solution, x = -11.

So, the equation with exactly one solution is  3x + 5 = 2x - 6. Option D is correct.

To learn more on Equation click here:

https://brainly.com/question/10413253

#SPJ3

a cake recipe calls for 4 1/2 cups of sugar. a caterer has 50 1/2 cups of sugar on hand. how many cakes can he make?

Answers

Answer:

11 cakes. he can make 11 cakes

Answer:

11

Step-by-step explanation:

You have to do 4 x the amount you know you can such as 10.

Then you have to multiply the 1/2 by that same number

So we'd get 4x10=40 and 1/2x10=5 to get 45

Then we add 45+4 1/2 = 49 1/2

They can make 11 cakes

what is the equation of the line that passes through the point (3,-7) and has a undefined slope

Answers

Answers:-

y = mx+b where m is the slope and b is the y intercept.

The line must pass through (3,-7) therefore

-7 =3 m +b

Now solve for b

b=-7 - 3m

Now substitute b into the definition of a line

y = mx -7 -3m

y=m*(x-3) -7

Now check the solution to see if for every m it passes through (3,-7)

substituting x in to the solution.

y=m(3–3)-7

y=7 hence the solution is correct. for any m

Plz follow ma );

Answer:

y = 7

Step-by-step explanation:

y = mx+b where m is the slope and b is the y intercept.

The line must pass through (3,-7) therefore ---> -7 =3 m +b

Now solve for b ---> b=-7 - 3m

Now substitute b into the definition of a line, y = mx -7 -3m ---> y=m*(x-3) -7

Now check the solution to see if for every m it passes through (3,-7)

Substitute x in to the solution --->  y=m(3–3)-7

y=7 therefore the solution is correct.

maths work summer vacations homework

Answers

Answer:

Step-by-step explanation:

line is made up of points and its endless

eg:........................................................................................it goes on forever even though it stopped here

a line segment is not endless it starts a one point and stops at another

eg:   :-----------------------: see it stops its like starting a sentence and finshing it .

a ray is diffrent .    i dont know how to explain so heres a pic

            those orange things are called rays.

What is the radius of a sphere with a surface area of 100πcm2?

Answers

Answer:

5cm

Step-by-step explanation:

A=4πr2 =  100πcm2

r = 5

On two investments totaling $9,500, Peter lost 3% on one and earned 7% on the other. If his net annual receipts were $169, how much was each investment?

Answers

Answer:

23$ was each investment

Step-by-step explanation:

[tex]\sqrt{x} x^{2}[/tex] +3

convert 72° into grades.

Answers

Answer:

80 grades is the answer.

Step-by-step explanation:

72° into grades

1° = 10/9 grades

72° = 10/9 × 72grades

= 720/9 grades

= 80 grades

Answer:

80 grades

Step-by-step explanation:

72° into grades  

=>1° = 10/9 grades

=>72° = 10/9 × 72 grades  

=>72° = 720/9 grades

=>72° = 80 grades

Gabriel's family is investing $5,000 into two different bonds for college. One bond gave
an interest of 5% per year, and the other 3%. If the combined interest for the year was
$220, how much money was invested in each bond?

Answers

The amount invested in the bond that yields the 5% interest is $3500 while the  amount invested in the bond that yields the 3% interest is $1500

In order to determine the amount invested in each bond, simultaneous equation would be used

From the question, two sets of equations can be derived

0.05x + 0.03y = 220 equation 1

x + y = 5000 equation 2

Where :

x = amount invested in the bond that gives 5% interest

y =  amount invested in the bond that gives 3% interest

Multiply equation 2 by 0.03

0.03x + 0.03y = 150 equation 3

Subtract equation 1 from 3

0.02x = 70

Divide both sides of the equation by 0.02

x = 3500

Substitute for x in equation 2

3500 + y = 5000

Subtract y from both sides of the equation

y = 5000 - 3500

y = 1500

To learn more about simultaneous equation, please check : https://brainly.com/question/15165507?referrer=searchResults

√2+1
b) Rationalize the denominator:
√2+1

Answers

Answer:

there is not a complete question here ...

[tex]\sqrt{2} +1[/tex] is not in a denominator to rationalize

if it were you would multiply the rational expression (the fraction)

by [tex]\frac{\sqrt{2} -1}{\sqrt{2} -1}[/tex] the result (in the denominator would end up being "2 -1"

which is 1

Step-by-step explanation:

Given 4,7,10,13. Determine a rule to describe the general term, Tn.​

Answers

Answer:

[tex]T_{n}[/tex] = 3n + 1

Step-by-step explanation:

There is a common difference between consecutive terms, that is

7 - 4 = 10 - 7 = 13 - 10 = 3

This indicates the sequence is arithmetic with nth term

[tex]T_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 3 , then

[tex]T_{n}[/tex] = 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1

Tricia starts school at 7:00 AM and has lunch at 12:00 PM. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch. (Hint: Set up a horizontal number line as a timeline.) A. A. 9:30 AM
B. 10:00 AM
C. 9:00 AM
D. 10:30 AM​

Answers

Answer:

D) 9:00 am

Step-by-step explanation:

Because 9:00 is the midpoint of 7 and 12

I'm Timed
Which situation could this expression represent?
6 + 15 ÷ 3

Michael has 6 stamps in his collection. He adds 15 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?

Walter has 6 stamps in his collection. He divides the stamps evenly into 3 piles and adds 15 new stamps to one of the piles. How many stamps are in this pile?

Andy has 15 stamps in his collection. He divides the stamps evenly into 3 piles and adds 6 stamps to one of the piles. How many stamps are in this pile?

Brycen has 15 stamps in his collection. He adds 6 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?

Answers

It would be C. Because PEMDAS. Division goes first in this equation. So it’d be 15 divided by 3 plus 6

Answer:

It's Micheal because he started with 6 and added 15 and he divided them into 3 piles

b) 2x (x - y) + 3y (x - y)​

Answers

Use distributive law

[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]

Now

[tex]\\ \sf\longmapsto 2x(x-y)+3y(x-y)[/tex]

[tex]\\ \sf\longmapsto 2x^2-2xy+3xy-3y^2[/tex]

[tex]\\ \sf\longmapsto 2x^2-3y^2-2xy+3x^2[/tex]

[tex]\\ \sf\longmapsto 2x^2-3y^2+xy[/tex]

Taking common

Answer: 2x (x-y) + 3y (x-y)

             = ( x-y ) ( 2x-3y )

Which correlation best describes the data below.

Answers

Answer:

weak positive

Step-by-step explanation:

weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.

positive because the values of data points are rising throughout the graph.

Denise buys a tote bag at a gift shop for $12. The same bag is available at Denise's pharmacy for 2/3 the price she paid at the gift shop. Let's say you have enough money to buy 10 bags from the gift shop. How many bags can you buy from the pharmacy with the same amount of money? A.3 B.12 C.15 D.18

Answers

Answer:

15

Step-by-step explanation:

The price of the bag at the pharmacy is

2/3 * 12 = 8 dollars

You have enough for 10 at the gift shop

10 * 12 = 120

Take 120 dollars and divide by 8 dollars to see how many you can get at the pharmacy

120/8 =15

Answer:

the answer is C. it was on my mid-term

Step-by-step explanation:

Determine if the expression -5y^5-y^3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Answers

Answer:

Yes, it is a polynomial, and the degree is 5

Step-by-step explanation:

A polynomial is a combination of terms separated using + or − signs and normally have exponents. So, this equation is a polynomial. The degree is just the highest exponential value, which is 5 because -5y is being raised to the 5th power

I need help really bad does can I contact anyone for help I need to complete or I fail really bad.

Answers

Step-by-step explanation:

45 >= 4x + 5

40 >= 4x

10 >= x (x <= 10)

and

53 > 4x + 5

48 > 4x

12 > x (x < 12)

so, both conditions need to be true (that is the meaning of "and").

how can that be achieved ? well, the harder, narrower condition beats any other.

so, when x <= 10, then it is automatically also smaller than 12.

so, the solution (inequality notation) is

x <= 10

and the graph just shows a line that starts at 10 (with a full, black dot at 10, as the point is included) and goes all the way to the left (to infinity and beyond ...)

in a box of 80 glasses,3 are broken.workout percentage of broken glasses​

Answers

Answer:

3.75%

Step-by-step explanation:

The percent that are broken is the number broken over the total * 100%

3/80 * 100%

.0375 * 100%

3.75%

Answer:

3.75% of the glass are broken

Step-by-step explanation:

3/80 × 100 = 3.75

I hope this helps.

Is 64 a rational number or irrational?

Answers

Answer:

Step-by-step explanation:

the answer is irrational hope this helps

Answer:

Rational.

Step-by-step explanation:

64 is a rational number because it's a whole number. Irrational numbers are real numbers including: [tex]\pi, \sqrt{2}[/tex], and etc. Basically, rational numbers are anything that can be expressed as the quotient of two integers: 64/1

answer to this problem?​

Answers

Answer:

The p is 4

Step-by-step explanation:

arrange in order smallest to largest 0.38, 0.31 , 0.4

Answers

Answer:

0.4 , 0.31 , 0.38 is the answer

HELLLPPPPPPPPP!!!!!!

Answers

ANSWER:

9) If the season is summer, then it also does not snow.

10) If you live in Salem, then you also live in Oregon.

(I’m not sure if I formatted these correctly in sentences, but hopefully you can see the pattern!)

Can you please help me!!!!!​

Answers

This is the venn diagram. Try and make a new one.

Given: In Parallelogram ABCD,
• mA = (7y+13)º
• m2B = (106 - 2x)º
• mC = (10y - 32)º
• m2D = (3x – 4)º

What are the values of x and y

Answers

Answer:

x = 110

y = 15

Step-by-step explanation:

AB is parallel to CD

angle B and angle D are alternate and they are equal

106-2x = 3x-4

106 + 4 = 3x - 2x

110 = x

same goes for y

7y + 13 = 10y - 32

13 + 32 = 10y - 7y

45 = 3y divide both sides by 3

15 = y

Please help with this

Find the area of the shaded regions.

Answers

Answer:

The area of the shaded region is 7π square centimeters.

Step-by-step explanation:

Note that Circle B has a radius of 3 cm, and the two smaller circles, Circles O and C, both have a radius of 1 cm.

The area of a circle is given by:

[tex]\displaystyle A = \pi r^2[/tex]

Therefore, the area of Circle B, the entire circle, is:

[tex]\displaystyle \begin{aligned} A_B &= \pi (3)^2 \\ &= 9\pi \end{aligned}[/tex]

The area of Circle O is:

[tex]\displaystyle \begin{aligned} A_O &= \pi (1)^2 \\ &= \pi \end{aligned}[/tex]

And likewise, the area of Circle C is:

[tex]\displaystyle \begin{aligned} A_C &= \pi (1)^2 \\ &= \pi \end{aligned}[/tex]

The area of the shaded area is the area of the Circle B subtracted by the area of Circles O and C. Hence:

[tex]\displaystyle A_\text{shaded} =A_B - \left(A_ O + A_ C\right)[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} A_\text{shaded} &= (9\pi ) - (\pi + \pi) \\ &= 9\pi - 2\pi \\\ &= 7\pi \end{aligned}[/tex]

The area of the shaded region is 7π square centimeters.

The minimum mark to obtain a Grade A is 75. Cheryn managed to achieve an average of Grade A for three of her English quizzes. What is the minimum mark she scored in her first quiz if scored 76 and 89 marks in her second and third quiz, respectively?​

Answers

9514 1404 393

Answer:

  60

Step-by-step explanation:

Let m represent the mark Cheryn scored on her first quiz. Then her average is ...

  (m +76 +89)/3 ≥ 75

  m +165 ≥ 225 . . . . . . . . multiply by 3

  m ≥ 60 . . . . . . . . . . . . subtract 165

Cheryn scored a minimum of 60 marks on her first quiz.

Can anyone help? It’s due in the morning

Answers

21) Angle 4

Angle 5

Angle GVH

Angle GVI

Angle HVI

22) Area of parallelogram = [tex]bh[/tex]

     A = 9 × 4 = [tex]36mi^2[/tex]

23) Area of a triangle = [tex]\frac{1}{2} bh[/tex]

     A =    [tex]\frac{1}{2} (12)(7.3)[/tex]

     A = [tex]43.8m^2[/tex]

24) Distance between each pair of point:

Distance between two points = [tex]\sqrt{(x_{B}-x_{A} )^2+(y_{B}-y_{A} )}[/tex]

Add the values in the formula & solve:

[tex]=\sqrt{(-2-0)^2+(2--4)^2}[/tex]

[tex]=\sqrt{(-2)^2+6^2}[/tex]

[tex]=\sqrt{4+36}[/tex]

[tex]=\sqrt{40}=6.3246[/tex]

25) Midpoint [tex](x_{M},y_{M} )=(\frac{x_{A} -x_{B} } {2} ,\frac{y_{A}+y_{B} }{2} )[/tex]

                                    [tex]=(\frac{10+0}{2},\frac{6+7}{2} )[/tex]

                                    [tex]=(\frac{10}{2} ,\frac{13}{2} )[/tex]

Midpoint of a line segment [tex](x_{M},y_{M} )=(5,6.5)[/tex]

I hope this helps....

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