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

What order should writers use to narrate a sequence of events?
The Boys and Girls Club is a __________. A. drug education and prevention program established within most communities B. drug education and prevention program t
what land area made up the northwest territory
Why did Douglass not grieve when he learned that his mother had died?
Where was floor 600 located in the Empire State Building
I need help with this question could somebody really help me please
Which expression finds the measure of an angle that is coterminal with a 45° angle?
What is the most likely reason sita feels ill after seeing rama
Which sentence is written in the active voice? a. Rick and Kate built the house with their own hands. b. Formal clothing must be worn to Kim's wedding. c. Th
The velocity of a car changes from 20 m/s east to 5 m/s east in 5 seconds. What is the acceleration of the car?