Answer:
Rahm: 0.8
Bain: 1.2
Step-by-step explanation:
For this, they ask for the rate of change or slope. To find slope you can use slope formula to get your slope/rate of change.
Steps for Rahm:
We can take points (10,8) and (20,16) and find the slope with the following formula: 

This is the rate of change for Rahm
Steps for Bain:
Take the points (5,6) and (11,13.2) and plug them into the Slope Formula:

Therefore, Bain hiked faster than Rahm for he had the higher rate of change compared to Rahm.
Step-by-step explanation:

If it helps, write as a product of fractions, grouped by variable.

Now reduce using exponent rules.

We can find the rate of each cyclist (assuming the rate is the amount they can travel in an hour) by dividing by 4 and then adding 6.
216/4 = 54
54 + 6 = 60.
The rate of each cyclist is 54 km/h and 60 k/ph.
Answer:
Step-by-step explanation:
a). 






Therefore, common denominator of 20.
b). 





Common denominator of 10.
c). 
= 

= 
Common denominator of 48.
Answer:
cosθ = 
Step-by-step explanation:
tanθ = -(65/72)
If it is in the 2nd quadrant, this means that y is positive but x is negative
tanθ= opposite/adjacent or (y/x)
tanθ=
We know that the adjacent value = -72 and the opposite value = 65
The hypotenuse can be get by the following

cosθ is just adjacent/hypotenuse
Our adjacent value is -72
Our hypotenuse is 97, therefore
cosθ = 