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

disregard question..............................................................................................................................
Explain why different things are important for journalists from different media, with specific reference to radio, television and daily newspapers journalists.
what are the similarities and difference of beowulf and gen mcarthur?​
Determine the number of real or non real solutions of the equation listed below using the discriminant. x2 + x + 4 = 0
what makes angiosperm more advance than gymnosperm​
Can someone please help, ty!! (Will mark brainliest)
Using exponential maths what is 2x = 1/128
What was the goal of the Americans' campaign against the Japanese in the Pacific? a. to capture bases from which to bomb the Japanese home islands b. to launch
which one does not belong ?and what is the answer correct ?​
i need a fast answer for this graph y=4x+9​