
The LCM of x+3 and x-4 is x² - x - 12
Working out gives;

Simplify further using equations calculator to get the answer as attached below:
Step-by-step explanation:
it is a multiple of 21.
the highest common factor of 2 numbers is the longest combination of prime factors they have in common.
the prime factors of 21 are simply
3×7
if another number A shares this as the longest combination of prime factors, that means it contains 3×7 itself in its prime factors.
and that means this number A can only be a multiple of 3×7 (= 21), as other prime factors present would be the factor of 21.
They will all flash their lights together at 5:00 pm
The area of a triangle is base * height / 2
The length of the base is 16 - 12 = 4
The height is 31 - 0 =0
Then the area is 4*31/2 = 62
Answer:
Step-by-step explanation:
The way to do this (I think) is to figure out the probability of not getting said king on either throw.
First Throw: P(no King Hearts) = 51/52
Second Throw: P(no King Hearts) = 50/51
Total probability = 51/52*50/51 = 50/52
Therefore the probability of getting it right is
P(KH) = 1 - 50/52 = 2/52 = 1/26
I have a feeling that this is not correct. If you get a different answer that looks reasonable, take it.