∆ABC has vertices A(2,2), B(-3,-1) and C(5,-3). Determine algebraically whether the line segment from A to the midpoint of BC is an
altitude. Show all work and explain your answer completely using correct math
vocabulary. Include math facts to support your answer. (6

Find the product of (4x + 3y)(4x − 3y). 16x2 − 24xy + 9y2 16x2 − 9y2 16x2 + 24xy + 9y2 16x2 + 9y2

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).

The difference of two numbers is 40. find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.