Answer:
y = 1/2x
Step-by-step explanation:
The slope is the rise (up) over run (left or right depending on if the number is negative) between points. So the next point on the graph is up 5 and over 10. this simplified is 1/2. Then you put this into y=mx which is y=1/2x
First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.
We have
130 = 2 • 5 • 13
231 = 3 • 7 • 11
so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.
To verify the claim, we try to solve the system of congruences
Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:
130 = 7 • 17 + 11
17 = 1 • 11 + 6
11 = 1 • 6 + 5
6 = 1 • 5 + 1
⇒ 1 = 23 • 17 - 3 • 130
Then
23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)
so that x = 23.
Repeat for 231 and 17:
231 = 13 • 17 + 10
17 = 1 • 10 + 7
10 = 1 • 7 + 3
7 = 2 • 3 + 1
⇒ 1 = 68 • 17 - 5 • 231
Then
68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)
so that y = 68.
Answer:
100 is the correct answer.
Step-by-step explanation:
=2×2×5×5
=4×25
=100
Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot. :)
Answer:
on the second day it took them 6 hours to get to their grandparents' house
Step-by-step explanation:
First we have to calculate how many miles they had to drive the second day
For this we have to subtract from the total miles the number of miles they drove the first day
843 mi - 483 mi = 360 mi
To calculate the time it takes we have to divide the distance it has to travel by the average velocity at which they travel
v = 60 mi/h
d = 360 mi
t = d/v
t = 360(mi) / 60(mi/h)
t = 6 h
on the second day it took them 6 hours to get to their grandparents' house
Answer:
4 pounds
Step-by-step explanation:
