Answer:
Check the explanation
Step-by-step explanation:
(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n
(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)
Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1
(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite
Answer:
the answer is (d) 57°
Step-by-step explanation:
since it's a straight angle it equals to 180°
you divide 180° from 123°
Answer:
y = 120x
Step-by-step explanation:
y=mx + b is what we need where m is the slope and b is the y-intercept.
the train travels at about 120km/hour, thus the slope is 120.
y= 120x +b. to find the y intercept plug in any coordinate.
240 = 120(2) +b. you find that the y-intercept is 0.
final equation: y= 120x
Answer:
A) 12x-36=360 (equation to find x)
B) X=33
C) 71 for 3x-28 and 109 fo 3x+10
Step-by-step explanation:
So first we know tha there are vertical angles present (the opposite side of an angle directly)
And we also know the two sides since the two angle measures are just two different sides
If you add up all the 4 angle syou’ll get 360
So initially
3x-28+3x-28+3x+10+3x+10=360
Combine and get 12x-36=360
Now solve for X
