Factor completely: 8m3 − 12m2 + 4m
a. 2m (4m2 − 6m + 2)
b. 4 (2m3 − 3m2 + m)
c. 4m (2m − 1)(m − 1)
d. 4m (2m2 − 3m)

-60.75

step-by-step explanation:

just add the numbers then put the negative sign on it

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