Xy=k, whenever the product of two variables is a constant it is called inverse variation. This is an inverse relationship, intuitively because, as the value of one variable increases, the other decreases and vice versa.
It is easy to spot as xy=k or y=k/x.
8y = 4x -16
-x = -2y -4
Multiply all terms in the second equation by -1:
-x = -2y -4 x -1 = x = 2y +4
Now replace x in the first equation with this.
8y = 4(2y+4)
Simplify:
8y = 8y +16
Because there is an 8y on both sides of the equation, it cannot be solved.
The answer is no solution.
Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration 
, we have the following equation of motion
where s (m) is the total distance, ta = 3 s is the time
Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration 
, we have the following equation of motion:
tk = 4 s is the time
Since we can conclude that 
, so Alison would win.
The time it takes for Alison to cover the entire track
The time it takes for Kevin to cover the entire track
So Alison wins against Kevin by 6.93 - 6 = 0.93 s
n1 || n2 | given
<1 supplements <2 | same side exterior angles supplement eachother
Answer:
3,090 diamonds
Step-by-step explanation:
To get 10 shards, you need to spend 30 diamonds.
First thing we need to find, how many rounds you need to play to get 1,024 shards if in each round you win 10 shards?
1,024/10 = 102,4
But you can not play 102.4 rounds, you only can play whole numbers, so we need to round it to the next whole number (not the previous one, because in that case, we would get less than 1,024 shards)
Then you need to play 103 rounds.
And each round costs 30 diamonds, then the total number of diamonds that you need is:
103*30 diamonds = 3,090 diamonds
