namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.

Answer:
v = 0.416 m/s
Step-by-step explanation:
Give that,
Distance covered by a train, d = 50 m
Time taken, t = 120 s
We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :

So, the speed of a train is 0.416 m/s.
Answer:

Step-by-step explanation:
A direct variation equation has the following format:

Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:

Divide both sides by -2:

So, our direct variation equations is:

To find what x is when y equals -6, substitute in -6 for y:

Divide both sides by -6:

So, our answer is 1 :)
Answer:
4/52
Step-by-step explanation: