Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
What is -12 divided by 2/3?
your answer is -18
80* 4/5
Cross out 80 and 5
You can divide by 5 for both of the numbers
80/5=16
5/5=1
16*4= 64
Answer is 64
The area of a triangle is given by half the multiplication of base and height. Since you want the answer is squared centimeters, let's convert base and height in centimeters first:
Now we can do the computation:
