Given x =
and y= −4
−2
:
a. find x + and graph the parallelogram that is formed by x, x + and the origin.
b. transform the unit square by multiplying it by the matrix −4
1 −2
and graph the result.
c. what did you find from parts (a) and (b)?
d. what is the area of the parallelogram that is formed by part (a)?
e. what is the determinant of the matrix −4
1 −2

f. based on observation, what can you say about the degenerate parallelograms in part (a) and part (b)?

Segment an is an altitude of right δabc with a right angle at a. if ab = 2, squared 5 in and nc = 1 in, find bn, an, ac.

Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x^3 + 4. include the average rate of change in your answer.

The amount of calories consumed by customers at the chinese buffet is normally distributed with mean 2743 and standard deviation 652. one randomly selected customer is observed to see how many calories x that customer consumes. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n(correct, correct) b. find the probability that the customer consumes less than 2355 calories. incorrect c. what proportion of the customers consume over 3026 calories? incorrect d. the piggy award will given out to the 1% of customers who consume the most calories. what is the fewest number of calories a person must consume to receive the piggy award? incorrect calories. (round to the nearest calorie)