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:
This is easy. to get t to its simplest form, you simply divide it to get the answer, so.....
Step-by-step explanation:
61.25 is your answer.
Answer:
-8 :)
Step-by-step explanation:
(x -1)(x +4) = 0
x² +3x -4 = 0 . . . . . . probably the form you're looking for
D = 90
This is because any line is equal to 180 degrees, we see that d is situated on a line that continues into another angle, the other angle is 90 degrees, so we minus 90 from 180, to get 90.
E = 99
E is situated on a line with the other angle F, F = 81 (see below) so we minus 81 from 180
F = 81
F is situated on a line, we minus it from the other angle situated on the same line, so we minus 99 from 180to get 81
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
