An electrician wears a rubber glove while doing electrical repairs to (a) Save electricity(b) Prevent himself from shock(c) Just make fun(d) Keep away from getting dirty​

Answer:

Water is the elixir of life for many numerous of amazing things it has been used and can be used to. According to the science, a great portion of our planet is consist of water and it is about 75% of it. Also, with reflection to our human body it is estimated made up of water at 50 to 65 percent. As it is being pointed, water holds an important ingredients on making up life. In the study of our history, after the early man roams around the world they finally decided to make a settlement. This settlements turned into great communities, which gave birth to the rising names of our history like Mesopotamia, China, India, Egypt and others, whom have a common factor and it is water. These historic nations wouldn’t exist in the names of our history, if they haven’t realize the importance of water.

Answer:

100

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HCF of 12 , 25 and 35 is 1

• 12 , 25 , 35

• HCF

• HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
• HCF = product of common factors of least power
• Prime Factorization is finding prime numbers/factors which when multiplied together results in the original number

Prime factorize  12

12 = 2 x 2 x 3  = 2² x 3¹

Prime factorize  25

25 = 5 x 5  = 5²

Prime factorize  35

35 = 5¹x 7¹  

HCF is 1  as no common factor

HCF of 12 , 25 and 35 is 1

Answer:

5(p-2) +3(p+1) =25

5p-10+3p+3=25

8p-7=25

8p=25+7

8p=32

p=32÷4

p = 8

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Answer:

We will get the value of p is 4.

Step-by-step explanation:

• As per the question we have to evaluate the given data.

        Given data:- 5(p-2)+3(p+1)=25.

        To find:- Value of p.

        Solution:-

• Here we will use the transposition method.

• Transposition is one of the linear equations.

• To solve the transposition method we will Identify the variables and constants.

• Then we Simplify the equation in LHS and RHS.

• Now Simplify the equation using arithmetic operations.

         [tex]5(p-2)+3(p+1)=25\\=>5p-10+3p+3=25\\=>5 p-7+3 p=25\\=>8p-7=25\\=>8p=32\\=>p=\frac{32}{8}\\=>p=4[/tex]

Answer:

value of x = (p+q)/3 or (p-q)/3

Step-by-step explanation:

given that :

9x² - 6px + (p² - q²) = 0​

the above equation can be solved using

[tex]x =[/tex] [ [tex]-(-6p)[/tex] ± [tex]\sqrt{(-6p)^2 - 4(9)(p^2-q^2)}[/tex] ] ÷ 2(9)  ⇒ eq1

this is the most fundamental formula for solving x which is as

[tex]x = -b[/tex] ± [tex]\sqrt{b^2-4ac}[/tex]   ÷ (2a)

where  [tex]a = 9 ; b = (-6p) ; c = (p^2-q^2)[/tex]  from the general equation

[tex]ax^2 + bx + c =0[/tex]

from eq 1 ;

x = [ 6p ± [tex]\sqrt{36p^2-36p^2+36q^2}[/tex] ] ÷ (18)

x  = [ 6p  ±  6q ] ÷ 18

x = [p  ±  q ] ÷ 3

x = (p+q)/3 or (p-q)/3

x is  (p - q)/3 or  (p + q)/3 for 9x² - 6px + (p² - q²) = 0​

• 9x² - 6px + (p² - q²) = 0​

• Solve for x

• a² - b² = (a + b)(a - b)

9x² - 6px + (p² - q²) = 0​

Rewrite -6p as -3p - 3p  and Add and subtract 3qx

9x² + (- 3p - 3p + 3q - 3q)x + (p² - q²) = 0​

Rearrange the term and rewrite (p² - q²)  as (p + q)(p -q)

9x²   - (3p - 3q)x    - (3p + 3q)x +(p + q)(p -q) = 0​

Take 3x common in 1st 2 terms and  -(p + q) common from last 2 terms

3x(3x    - (p - q))     - (p + q)(3x - (p -q))= 0​

Take (3x    - (p - q))  common

(3x    - (p - q)) (3x     - (p + q)) = 0​

Equate each factor with 0

3x    - (p - q) = 0 => x = (p - q)/3

3x     - (p + q) =0 => x = (p + q)/3

Hence x is (p - q)/3 or  (p + q)/3