ruthiealvarez6320 ruthiealvarez6320
  • 18-09-2017
  • Mathematics
contestada

Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.

Respuesta :

ghanami
ghanami ghanami
  • 18-09-2017
hello :
if : a ≡ 5 ( mod 7) ....(1)
     b ≡ 6 ( mod 7) ...(2)
(1)×(2) : ab ≡ 30 ( mod 7)
but : 30 = 7×4  + 2  ..... so : 30  ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)
Answer Link

Otras preguntas

Which was NOT a new tool utilized in the Neolithic revolution? a. wheel b. flint knife c. pottery c. plow
describe how activity within the earth results in earthquakes
W is the midpoint of UV. If UW = x+23 and WV = 2x+8, What is x?
Ecrivez al forme correcte du verbe etre pour chaque sujet
Suppose a person has a small intestine that has fewer villi than normal.would the person most likely be overweight or underweight
All the chromosomes in a diploid cell are paired. True or False
Some southerners referred to their region as the __________ after Reconstruction because it was a time of industrialization and economic change. Old South Solid
find the wavelength of radio waves of frequency 200kHz
All the chromosomes in a diploid cell are paired. True or False
A writer who was both a realist and a regionalist was a.Tom Sawyer. b.Mark Twain. c.Stephen Crane. d.Paul Laurence Dunbar.