Iam a number less than 100. i am a product of two prime numbers. if you reversemy digits, i am a prime. the sum of my digits is a 1-digit prime. one of my digits is a square number. what number am i?

You are number 34

Step-by-step explanation:

* Lets explain how to solve the problem

- The number is less than 100

∴ The number is 2-digit  number

- The number is the product of 2 prime numbers

∴ The two prime numbers could be two of these numbers:

   2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43

∵ The number is less than 100

∴ The two prime numbers are 1-digit numbers OR one of them

   is 1-digit and the other is 2-digit

- The sum of its digits is a 1-digit

∴ The sum of its digits is less than 10

- One of its digit is a square number

∴ One of its digit is 1 or 4 or 9 because they are square numbers

* Look to the prime number above the number and chose two of

  them try to find the answer

- Start with the product of 1-digit prime numbers

∵ 2 and 7 are prime numbers

∵ 2 × 7 = 14 and the sum of its digits is less than 10 (1 + 4 = 5)

∵ 14 < 100

∵ The reversed of its digits obtained 41 which is a prime number

∵ 4  and 1 are a square number (1² = 1 or 2² = 4)

∴ The number is not 14

- Chose one of them 1-digit and the other 2-digit

∵ 2 and 17 are prime numbers

∵ 2 × 17 = 34 and the sum of its digits is less than 10 (3 + 4 = 7)

∵ 34 < 100

∵ The reversed of its digits obtained 43 which is a prime number

∵ 4 is a square number (2² = 4)

∴ The number is 34

* You are number 34

  2087568668/1  

step-by-step explanation:

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.