I think that the sum will always be a rational number
let's prove that
<span>any rational number can be represented as a/b where a and b are integers and b≠0
</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....
<span>so, 2 rational numbers can be represented as
</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)
their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd
1. the numerator and denominator will be integers
2. that the denominator does not equal 0
alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer
now the denominator
that is just a product of 2 integers so it is an integer
<span>2. we originally defined that b≠0 and d≠0 so we're good
</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
Answer:
we need to see the whole graph to determine the domain and range please
Step-by-step explanation:
Your answer is 5, because the majority is 5 years old
Answer:
169 meters
Step-by-step explanation:
52/4=13 (since it's a square you divide it by 4 because the sides are equal, so each side is 13 meters)
13^2=169 (to find the area you square the length of each side)
Answer: Y= 2x
Step-by-step explanation:
1 x 2 = 2
3.4 x 2 = 6.8
5 x 2 = 10
7 x 2 = 14
So. Y = 2x
