Answer:
Step-by-step explanation:
The values of the slope and y-intercept are
m
=-
8/3
and b
=
−
11
Consider the word phrase "2 apples". This is the same as "2 of apples". Mathematically you could write: 2×apples or even 2a.This is exactly the type of thing you have when you write:6(−5n+7)This is the same as: 6of (−5n+7)Lets write this out in full:(−5n+7)+(−5n+7)+(−5n+7)+(−5n+7)+(−5n+7) (−5n+7)Write this as: (−5n−5n−5n−5n−5n−5n)(7+7+7+7+7+7) As you can see, we have 6 of each Giving[−(6×5)×n]+[6×7]=−30n+42
We can write a proportion: 15 m is to 12 m as some other height
is to 20 m
So we get
So the second tree is 25 m tall.
The direct variation that can be established using the given parameters is that, the time it takes between seeing the lightning and hearing the thunder is directly related to the speed.
However, it can also be established that the time described above is inversely proportional to the distance. This can be written as,
t = k/d
We substitute the given expression for each of the known terms. t is time, s, and d is distance, 3s.
s = k/3s
The k written in the equation is the constant of proportionality.