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PilotLPTM [1.2K]
3 years ago
11

Let a >= b. show that gcd(a,b) = gcd(a-b, b) ​

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

let \gcd(a,b)= G , $a\ge b$

$\therefore a=G\cdot m$ and $b=G\cdot n$

$a-b=Gm-Gn=G(m-n)$

Now, $\gcd(a-b,b)$ clearly is, $G$

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Steven's family traveled 7/10 of the distance to his aunt’s house on Saturday. They traveled 2/3 of the remaining distance on Su
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday

The total distance to to his grandmothers house is assumed to be 1

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would

1 - 7/10 = 3 /10

They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is

2/3 × 3/10 = 2/10 = 1/5

5 0
1 year ago
A circle has a diameter of 26 units. What is the area of the circle to the nearest hundred of a square unit?
Nady [450]

Answer: The area is 530 square units

Step-by-step explanation: The diameter of the circle has been given as 26. That makes the radius 13, that is;

Radius = diameter/2

Radius = 26/2

Radius = 13

The area of a circle is derived by the formula;

Area = pi x r^2

Where pi is 3.14 and r is 13,

Area = (3.14) x 13^2

Area = 3.14 x 169

Area = 530.66

Approximately to the nearest hundred of a square unit,

The area of the circle is 530 square units

5 0
3 years ago
Read 2 more answers
A clothing store sold 4 times as many sweaters as coats. The difference in the sales was 300. How many of each were sold?
slava [35]
Sweater = 400
coats = 100
difference= 300
in an equation it would be
4x-x=300
so
3x=300
x=100
sweaters= 4x= 400
coats= x= 100
5 0
3 years ago
What is the distance between point A(−1, 3) and point B(−8, 3) ?
balu736 [363]

Answer:

7 units

Step-by-step explanation:

6 0
2 years ago
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Frank is going to the airport. It is 11:43 AM right now. Frank's flight will depart in 2 hours 40 minutes. What is the departure
Stels [109]
Ok it would be 1:23 p.m. i think

5 0
3 years ago
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