Answer:
Proved See below
Step-by-step explanation:
Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started
For this question we need to know the following identities:

Lets solve the bottom most part first:

Take LCM

now break the LCM

because 1/tan = cot x
and furthermore,

now we solve the above part and replace the bottom most part that we solved with 

Hence proved! :D
100 + 48=148 so that means she got 48 dollars for babysitting
Answer:
<em>The order of subtraction is not important in any of the coordinates</em>
Step-by-step explanation:
Distance Between Two Points
Given two points (x1,y2) (x2,y2), the distance between them is given by the formula

The difference between both coordinates is squared, then added, and finally extracted the square root.
Based on the principle that

and also

We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as

As seen, it applies for both coordinates
Y - 5 = -2x - 4
Add 5 on both sides.
y = -2x + 1
y = -2x + 1 is in simplest form.