Sarah downloads movies from a website that charges a $10 membership fee plus $1 for every movie downloaded. Lisa downloads movies from a different website that charges a $5 fee per month and $2 for each movie downloaded. These equations represent this situation. y = x + 10 y = 2x + 5

Step-by-step explanation:

Sarah downloads movies from a website that charges a $10 membership fee plus $1 for every movie downloaded. Lisa downloads movies from a different website that charges a $5 fee per month and $2 for each movie downloaded. These equations represent this situation. y = x + 10 y = 2x + 5 In the equations, which are drawn on the graph, x represents the number of movies downloaded and y represents the money spent.

addition

step-by-step explanation:

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