Step-by-step explanation:
If x and y are inverse variations, then xy = constant.

If k = 12. Then the answer is

(1-7)/(10-1)
= -6/9
= - 2/3
answer is <span>A. –2/3 </span>
Y=-5x+4 i think unless you need it in a different form
Magnitude of the net displacement: 7.0 miles
Step-by-step explanation:
In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.
Taking x as positive x direction and y as positive north direction:
- The first motion is 3 miles due east, so

- The second motion is 5 miles at
east of north, so:

So the components of the net displacement are

And so the magnitude of the net displacement is

So, he is 7.0 miles far from the house.
Learn more about distance and displacement:
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Answer:
The probability is 0.000495
Step-by-step explanation:
As per the question:
Total no. of cards in a deck = 52
No. of spades in a deck = 13
Now, we have to select 5 cards in a deck such that they belong to the same suit, i.e., spades.
The no. of ways of selecting 5 cards from a deck = 
The no. of ways of selecting 5 cards from 13 spade cards = 
Now,
Probability that the selected 5 cards are all spades, P(E) = 
P(E) = 
P(E) = 
P(E) = 
P(E) = 