Rewrite the expression as a sum of two fractions, and simplify. 200x-300/x

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

2. If you want to write it as the sum of two fractions, you can find the common denominator and separate the expression into two fractions, as you can see, the common denominator is . So, you have:

Therefore, as you can see, the answer is:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west