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Kobotan [32]
3 years ago
14

An airliner leaves an airport going due east, flying at 350 miles per hour. Another airplane leaves the same airport at the same

time going due west, flying at 400 miles per hour. How long will they be 2,250 miles apart? ( with explanation )
Mathematics
1 answer:
satela [25.4K]3 years ago
8 0
It would be at 3 hours
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Specify the set of all integers that are congruent to 5 (mod 7) using (a) the roster method and (b) set-builder notation
IrinaVladis [17]

Answer:

(a) A = {... -23, -16, -9, -2, 5, 12, 19, 26, ....}

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For two integers x and y to be congruent, we know that:

If 't' divides y - x, we say that x is congruent to y modulo t, written x ≡ y mod t.

Now,

In roster form, we include each element in the representation of the set.

In set-builder form, we use mathematical notation and properties of the elements of the set.

Now,

As per the question;

(a) To represent all the integers congruent to  5 (mod 7) by roaster method of a set A (say):

where

x\in Z such that

x ≡ 5 (mod 7)

Then

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(b) In set builder form,

A = {x\in Z: x = 5 - 7t,\ t\in Z}

4 0
3 years ago
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