lelerizzini lelerizzini
  • 24-07-2022
  • Mathematics
contestada

Prove: The square of a number that is two more than a multiple of 3 is one more than a multiple of 3.

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 05-08-2022

Step-by-step explanation:

x is the number

x = 3y + 2

the square

x² = (3y + 2)² = 9y² + 12y + 4

9y² is a multiple of 3 (because of the factor 9)

12y is a multiple of 3 (because of the factor 12)

4 is 1 more than a multiple of 3 (1×3).

so, the sum of all 3 terms is 1 more than a multiple of 3.

Answer Link

Otras preguntas

Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].
In several of the selections in this unit, immigrant parents play an important role. How does the fact that some of these parents are immigrants affect their ch
Which explains why the Internet can help people make better economic decisions? A.Purchasing goods and services online is more convenient. B.Security measures g
what is required for reactants to form bonds ?
which of the following events happens first in the development of a new organism
The old brick house that sits on top of the hill was built during the Civil War. IN THIS SENTENCE Select the adjective clause?
Which parts of the body act as levers? a. muscles b. joints c. bones d. veins
What are some of the forces at work on American English today?
Giselle is painting the inside of her house. She needs 1.6 gallons of paint to cover the walls in each room. There are 4.5 rooms to paint in her house. Two o
from this paragraph what relationship can you infer between the jogger and the writer