Which equation is not equivalent to the formula d = rt? r equals t over d r equals d over t t equals d over r d = tr

1 answer:

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Question restated.
which is not equivalent to d = rt?
r = t/d
r = d/t
t = d/r
d = tr
If we divide both sides of the original equation by t, we are left with r = d/t, so we know that this is true. if we compare this, however, with the first item on the list, we can see that t/d does not equal d/t, so the first item on the list is the wrong one.

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laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression $n^2+n$

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then $k^2+k$ is even integer