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

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 patient would the emt classify as having a psychiatric (behavioral) emergency?

An example of a mixed cost is direct materials. utility costs. supervisory salaries. property taxes.

Maria has a bank account balance of -$27.89. Her bank requires that she maintains a balance of at least +$30. How much must Maria deposit into her account to re

Budgeting for home maintenance early can save money in the long run. why save early compared to later, especially if the home is new?

Explain how individuals present themselves and perceive themselves in a social context?

Select the reason why these triangles are similar. If they are not, select "Not similar." A. AA C. SSS 2 2 3 B. SAA D. Not similar

Q1. Is there an advantage to a strong Executive response to popular vote

Which statement is a well-written hypothesis about DDT and its effects on the environment? O The bird population is directly related to the DDT concentration. O

On highways, using _________ will help you increase your field of vision, as well as being alert while driving and using scanning techniques.

Can someone help me ? I don’t get this