2x - 8y = 32
-8y = -2x + 32
y = (-2/-8)x - 32/8
y = 1/4x - 4 <== slope intercept form
The perimeter, by definition, is the outside measure of that figure. MN and LM are the same length and LK and NK are the same length....we just need to find the lengths! Use the distance formula to find the distance between the 2 points:

For the segment MN, use the coordinates of M as your x1, y1, and use the coordinates of N for x2, y2:

which simplifies to

which is

So that is the length of both MN and LM. So far our perimeter is

Now let's use the same formula to find out the length of one of the longer segments:

which simplifies down to

which is of course

Since we have 2 of those lengths,

So our perimeter is, in the end,

That's the third choice down
Answer:
B
Step-by-step explanation:
It all starts whether the Knave of Hearts tells the truth or not. You can decide yourself.
Hearts: H
Clubs: C
Diamonds: D
Spades: S
If H lies, C tells the truth, therefor D lies. So S tells the truth
If H tells the truth, C lies. Therefore D tells the truth and S lies
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
Answer:
2 is the best answer I take for this question.