In a physical education period, students are arranged in rows to form a perfect square to practice a display for the sports day. From the total number of 8046 students, 125 students were not well and others formed a perfect square to participate in the display. Find the number of students in each row.

Answer:

[tex]\frac{x}{x-1}[/tex]

Step-by-step explanation:

[tex]\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}[/tex]                                          [tex][ \ x^ 2- 1 = (x-1)(x + 1) \ ][/tex]

[tex]= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}[/tex]                        [tex][\ Taking \ LCM \ ][/tex]

[tex]= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}[/tex]

Finding LCM :

Example :

                 [tex]\frac{1}{6} + \frac{1}{3}[/tex]

6 = 2  x   3

3 = 1   x   3

                [tex]\frac{1}{2 \times 3} + \frac{1}{ 3}[/tex] [tex]= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}[/tex]  

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

 [tex](x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)[/tex]

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

                                       [tex]\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}[/tex]

Answer:

A

Step-by-step explanation:

If lines are parallel and intersected by another line then there are 2 alternating angles between them.

The factorisation of that poly is

(x+4)(x+5)

Answer:

D. (10, 2)

Step-by-step explanation:

A' = [ 2(3)-(-4) ; 2]

=> (6+4 ; 2)

=> (10, 2)

Answer:

D

Step-by-step explanation:

Answer:

B. Point E

Step-by-step explanation:

Your point is (2,5) for the reptile house ((8,3) is extra unnecessary information) to find the house you go to the right 2 units and then 5 units up. The only one that matches is point E so therefore it's your answer.

Answer:

<XUW <WUX

<WUV <VUW

Step-by-step explanation:

Answer:

5.5 = AB

Step-by-step explanation:

take 62 degree as reference angle

using cos rule

cos 62 = adjacent / hypotenuse

0.46 = AB / 12

0.46*12 = AB

5.52 = AB

5.5 = AB

The length of side AB in the given right angle triangle of hypotenuse  12 cm is  5.7 cm.

A triangle with one angle at [tex]90^o[/tex] is called right angle triangle.

Given that:

Hypotenuse = 12 cm

[tex]\theta = 62^o[/tex]

The length of side AB in the given right angle triangle is calculated as:

Using trigonometric function,

[tex]\cos\theta = \dfrac{base}{hypotenuse}[/tex]

Let, the value of base be x

Substitute the values in the given formula:

[tex]\cos 62^o = \dfrac{x}{12}[/tex]

Using the trigonometric table, the value of [tex]\cos 62^o[/tex] is 0.4694

[tex]0.4694 \times 12[/tex]= x

x= 5.6328

x = 5.7

Thus, the length of side AB to 1 decimal place is 5.7 cm

Learn more about trigonometric function here:

https://brainly.com/question/25618616

#SPJ7

Answer:

C

Step-by-step explanation:

Answer:

30

So the two sectors add to the full length:

JK + IJ = IK

x+6 + 9 = 2x

Rearrange:

x=15

So the numerical length:

2x

2*15

30

Well, If the area of ABC is 20cm², Then the area of ABS would be 10cm² and the area of ACS would also be 10cm². You basically are just cutting the ABC in half. I hope this helps!

Answer:

a) 400

b)160,000

Step-by-step explanation:

times 20 by 20 hence 20² for a. you get 400, for b, just do 400² which gets you 160,000.

If its wrong im so sorry

Answer:

whats the question here?

Answer:

A:He is trying to find the diameter

B: 3.14*14=43.96

C: 3.14*14^2=615.44

Hope This Helps!!!

Answer:

Step-by-step explanation:

(x+4)^2.(x+4)^2

= x^4 +16x^3+96x^2+256x+256

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

R:B = 8:3

5 ratio marbles is 35 (to make ration 3:3)

1 ratio=7

He originally had 56 red marbles and 21 blue (77 total)

Now he has 21 Red and 21 Blue (42 total)

Answer:

1. 194

2. 189

Step-by-step explanation:

1. 991 - 797 = 194

2. 826 - 637 = 189

Answer:

1. 194 people increased.

2. Edith has 189 stamps more than Parick.

Step-by-step explanation:

1. 991 - 797 = 194

2. 826 - 637 = 189

Answer:

10

Step-by-step explanation:

sqrt(100) is 10

Replace x and y with their values:

Sqrt (2 -14(-7))

Multiply 14 and -7

Sqrt(2 - -98)

Add

Sqrt(100)

Simplify to get 10

Answer = 10

Answer:

a. 8 / 10

Step-by-step explanation:

0.8 = 8 / 10

Answer:

8/10

Step-by-step explanation:

0.8

The number is in the tenths place

The denominator is 10

8/10

Answer:

6.75

Step-by-step explanation:

that is the answer by the way

Given:

The expression is:

[tex]6\div 8[/tex]

To find:

The value of the given expression by using the long division method.

Solution:

We have,

[tex]6\div 8[/tex]

Here, dividend is 6 and divisor is 8.

Since 6<8, therefore we will use the decimal in dividend and quotient as shown below:

[tex]\underline{\quad 8\quad}|\overline{\quad 6.00\quad }|\underline{\quad 0.75\quad }[/tex]

         [tex]\underline{\quad 56\quad }[/tex]

               [tex]40[/tex]                  (After subtraction)

           [tex]\underline{\quad 40\quad }[/tex]

             [tex]\underline{\quad 0\quad }[/tex]               (After subtraction)

Therefore, the value of the given expression is 0.75.

Answer:

the midpoint of it is 8,-6

Step-by-step explanation:

rhgsr egh

Answer:

p = 1.4

Step-by-step explanation:

The ratio of sides is the same

p/4.2 = 1.7/5.1

multiply both sides by 4.2

p = 1.7/5.1 * 4.2

p = 1.4

===========================================================

Explanation:

JK = LM because opposite sides of a parallelogram are the same length.

Side LM is p units long, where p is a placeholder for a number.

To determine what number replaces p, we can form the proportion shown below

BC/KL = CD/LM

Refer to the drawing below. I've circled the corresponding pieces. Note the color coding. Other equations are possible.

-----------

So,

BC/KL = CD/LM

(5.1)/(1.7) = (4.2)/p

5.1p = 1.7*4.2 ....................... cross multiply

5.1p = 7.14

p = (7.14)/(5.1)

p = 1.4

Answer:

53 = 8 + v

Step-by-step explanation:

53 is what we are summing to so it is on one side of the equation. 53 is the results of us adding (sum) 8 to v (height)

Answer:

Q

Step-by-step explanation:

it is between -1 and -2 were -2/3 would be located

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, [tex]a_n=480[/tex]

Let there are n terms in the AP.

So,

[tex]a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20[/tex]

There are 20 terms in the series. The sum of 20 terms is :

[tex]S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040[/tex]

So, the sum of the given arithmetic series is equal to 5040.

Answer:

photosynthesis is the process by which plants use energy from the sun in order to produce energy such as glucose. It mainly uses energy from the sun, carbon dioxide, and water to achieve this.

Pain is a warning signal produced by your body and sent to the central nervous system to tell you of a physical injury. Your body has many pain receptors that can be triggered by a myriad of things like heat or punctures.

the process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a byproduct.

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities.

Pain is a distressing feeling often caused by intense or damaging stimuli. The International Association for the Study of Pain defines pain as "an unpleasant sensory and emotional experience associated with, or resembling that associated with, actual or potential tissue damage."[1] In medical diagnosis, pain is regarded as a symptom of an underlying condition.

Pain motivates the individual to withdraw from damaging situations, to protect a damaged body part while it heals, and to avoid similar experiences in the future.[2] Most pain resolves once the noxious stimulus is removed and the body has healed, but it may persist despite removal of the stimulus and apparent healing of the body. Sometimes pain arises in the absence of any detectable stimulus, damage or disease.[3]

Answer:

1

----------

x+1

Step-by-step explanation:

2x+12

----------------

2x^2 + 14x+12

Factor

2(x+6)

-------------------

2(x^2+7x+6)

2(x+6)

--------------

2(x+6)(x+1)

Cancel like terms

1

-------------

(x+1)

Answer:

150°

Step-by-step explanation:

2x+x+90=180

3x=90

x=30

z= 180-x = 180-30 = 150°

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:2}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]x + 11 + 8x = 29[/tex]

[tex]➺ \: x + 8x = 29 - 11[/tex]

[tex]➺ \: 9x = 18[/tex]

[tex]➺ \: x = \frac{18}{9} [/tex]

[tex]➺ \: x = 2[/tex]

Therefore, the value of [tex]x[/tex] is 2.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]x + 11 + 8x = 29[/tex]

[tex]➺ \: 2 + 11 + 8(2) = 29[/tex]

[tex]➺ \: 2 + 11 + 16 = 29[/tex]

[tex]➺ \: 29 = 29[/tex]

➺ L. H. S. = R. H. S

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]

Answer:

x

Step-by-step explanation: