1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lisa [10]
2 years ago
12

For each of the following pairs of numbers, find the gcd of the two numbers, and express the gcd as a linear combination of the

two numbers. (a) 56 and 42 (b) 81 and 60
Mathematics
1 answer:
Oksana_A [137]2 years ago
4 0

Answer:

a. 14 and 14= (-1)56+1(44)

b. 3 and 3= (-4)60+3(81)

Step-by-step explanation:

Case 1: GCD is the highest common divisor for both numbers without reminder

a. GCD of 56 and 42 = 14

b GCD of 81 and 60 = 3

Case 2: Express GCD as a Linear combination.

a. GCD = 14 which is also the difference between 56 and 42

Therefore

14= (-1)56+1(44) expresses 14 as a linear combination of 56 and 44.

b. GCD=3, we need to look for a multiple of 60 and 81 that their differences would be 3

Therefore the multiples are:

For 60 = 240 (60×4)

For 81 = 243 (81×3)

3= (-4)60+3(81) expresses 3 as a linear combination of 81 and 60

You might be interested in
5+5 also i like people
cricket20 [7]

Answer:

5+5=10 :D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Kevin ran 5 miles in the race. How many yards did Kevin run? (1 mile = 1,760 yards) A. 10,560 yards B. 8,800 yards C. 1,755 yard
nexus9112 [7]
1,760 x 5 = 8,800
B. 8,800
6 0
3 years ago
Convert 9.46 x 10^12 to expanded form
Vaselesa [24]
Your answer would be
7 0
3 years ago
Explore the opportunity district in the Expo school site. What are the geometric shapes we can include to utilize maximum space?
maxonik [38]
Area i would pack probably water and good and my phone and the main things you need to survive would be good and water and a shelter
5 0
3 years ago
What is -25pi over 12 in degrees
Vesnalui [34]

Answer: <em>0=75degrees</em>

<u><em>Have a Great Day/Night</em></u>

8 0
2 years ago
Other questions:
  • A(n) _ shows you the schedule of payments on a loan and the total interest and payments at the end of the loan.
    7·2 answers
  • Anybody know the answer to the 2 last questions please?
    13·1 answer
  • Solve the equation.
    10·1 answer
  • If b=55, then 45−7b+14+17b =
    6·1 answer
  • Figure B is a scale image of Figure A, as shown. Enter the scale factor applied to Figure A to produce Figure B: figure A, 3 2 4
    5·1 answer
  • (ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the
    13·1 answer
  • compared to last year, the population of Boom Town has increased by 10%. The population is now 6,600. What was the population la
    14·2 answers
  • A stack of boards is 21 inches high. The boards are 1 3/4 inches thick.
    12·1 answer
  • Solve for x: 5x &gt; -20 A. x &gt; 4 B. x &gt; -4 C. x &lt; 4 D. x &lt; -4
    5·1 answer
  • For what value of x is line m parallel to line n?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!