The number of yellow fish at the aquarium is 5 fewer than 3 times the number of blue fish. The table shows how the number of yellow fish, y, depends on the number of blue fish, b. Choose the equation which represents the rule. A) y = 3b − 3 B) y = 5 − 3b C) y = 3b − 5 D) y = 3b + 5

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step-by-step explanation:

where is the diagram? shown below where? ?

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