Answer:
in short, Yes they are always rational.
here's why...
E.g. suppose
and
are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give
and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had
Step-by-step explanation:
The formula for the area of a triangle is (1/2)bh = A
when we plug in the numbers, we get (1/2)(3x-1)x = A
using the distributive property we get (1.5x - .5)x = A
Then its 1.5x^2 - .5x = A
then if we factor out 0.5x we get 0.5x(3x-1) = A
then with the zero product property, 0.5x can equal 0 and x would need to equal 0.
if 3x-1 = 0 , then 3x = 1 then x = 1/3. so our answer would be 1/3 I'm pretty sure because a length cannot be 0
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable
Exact Form:
x = - 25/8 
Decimal Form:
x = -3.125
Mixed Number Form:
x = - 3/1/8 
Step-by-step explanation:
Answer:
I cant help if there is not a picture of the spinner because I dont know how many sections are there.
Step-by-step explanation: