Find the perimeter of the image below: figure qrstu is shown. q is at 2, 0. r is at 4, 5. s is at 8, 7. t is at 6, 4. u is at 10, 3.
a)25.8 units
b)26.1units
c)27.5 units
d)28.6 units

What is the absolute value of the complex number -4-sqrt2i

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).

2. explain in words how you plot the point (4, −2) in a rectangular coordinate system.