Vector u has its initial point at (21, 12) and its terminal point at (19, -8). Vector v has a direction opposite that of u, whose magnitude is five times the magnitude of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?
A) v = -10i + 4j B) v = -0.4i − 4j
C) v = 0.4i + 4j D) v = 15i + 100j

Which of these side lengths could form a triangle a) 2 cm , 2 cm , 4 cm b) 3 cm , 5 cm , 10 cm c) 3 cm , 4 cm , 5 cm d) 4 cm , 8 cm , 15 cm

The mountain springs water company has two departments, purifying and bottling. the bottling department received 67,000 liters from the purifying department. during the period, the bottling department completed 65,000 liters, including 3,000 liters of work in process at the beginning of the period. the ending work in process was 5,000 liters. how many liters were started and completed during the period?

Aski resort is charging $37.50 to rent a snowmobile for 5 hours. at this rate what will be the cost for a family of 5 to rent snowmobiles for 3 hours on the first day of their vacation and 4 hours for on the last day of their vacation