The slope (or average rate of change) formula is:

. It is easy to remember as "slope is easy and fun, rise over run" where the y-values of the 2 points would be the "rise" and the x-values of the 2 points would be the "run" So with two points, you label one point as

and the other as

. Then you insert these points into the slope formula (m represents slope). So,

where (-3,6) is x2 and y2 and (5,1) is x1 and y1. It would simplify to

.
Answer:

Step-by-step explanation:
Given: 
Solution:
A differential equation is said to be separable if it can be written separately as functions of two variables.
Given equation is separable.
We can write this equation as follows:

On integrating both sides, we get

Formulae Used:

So, we get solution as 
Applying condition: x(0) = 1, we get 
Therefore, 
Answer:
<h2>
$65</h2>
Step-by-step explanation:
Step one:
we are told that the ratio of Kailyn's money to Nathan's money is
4:9,
Nathan has $45, let Kailyn's money be x
therefore
4/9=x/45
cross multiply we have
9x=45*4
9x=180
divide both sides by 9
x=180/9
x=20
Kailyn's money is $20
Together they have =20+45= $65
See the attached figure to understand the problem
we know that
tan 42°=1950/BO---------> BO=1950/tan 42°-------> BO=2165.69 ft
tan 39.5°=1950/AO---------> AO=1950/tan 39.5°-------> AO=2365.54 ft
AB=AO-BO--------> AB=2365.54 ft-2165.69 ft-------> AB=199.85 ft
the answer is
The runners are 199.85 feet apart
Mark Brainliest please
Answer :
2169490
Check the image for step by step solution