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
They look yo be all functions due to them not intersecting one another
Answer:
Option 2 is correct
Step-by-step explanation:
One number is 2 times another number plus 3. Their sum is 21.
"One number is 2 times another number plus 3" translated to
x = smaller number = another number
It is also given that: Their sum is 21.
Combine like terms:
3x+3 = 21
Answer:
a² + 5a + 6
Step-by-step explanation:
(a + 2)(a + 3) = ?
We can use the FOIL method of multiplying two binomials
First terms: a × a = a²
Outer terms: 2 × 3 = 6
Inner terms: 2 × a = 2a
Last terms: a × 3 = <u> 3a </u>
Sum = a² + 5a + 6
