Answer:
Associative states you can regroup numbers and you will get the same answer and the commutative property states that you can move numbers around and still have the same answer.
Example:
Commutative a+b=b+a
Associative a+ (b+c) = (a+b) +c= a+b+c
If u multiply the first equation by -4, u get -2x - y = -20
and when u add the 2 equations..
-2x - y = -20
2x + 3/8y = 5
-----------------
0 - 5/8y = -15.....u notice that the x terms r eliminated.
Answer:
A) 
Step-by-step explanation:
Please see the attached file:
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Angles are complementary when they add up to 90 degrees. For example 60 and 30, or 45 and 45.
Angles are supplementary when they add up to 180 degrees. For example 90 and 90, or 100 and 80.
Hope that helps
