1. The vertices of a parallelogram ABCD are: A(1, 1), B(2, 3), C(5, 4) and D(f, g). Write down AB and DC as a column vectors and deduce the values of f and g. 2. In triangle ABC, AB = (-46) and AC= (38). If P is the midpoint of AB, express CP as a column vector.

Which system of linear inequalities is represented by the graph? !

Use the net as an aid to compute the surface area of the triangular prism. a) 550 m2 b) 614 m2 c) 670 m2 d) 790 m2

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).