The coastline of an island may be approximated by a polygon with vertices q(-50, 300), r(150, 200), s(250,0), t(150, -250), u(-200, -250), and v(-450, 50).
a. find the length of the coastline of the island to the nearest foot if each unit on the coordinate grid represents 1 foot. show your work.
b. describe a strategy you could use to calculate the area of the island using only rectangles and triangles. (do not calculate the area.)

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Polygon abcde is reflected to produce polygon a′b′c′d′e′. what is the equation for the line of reflection?

Atransformation t : (x,y) (x-5,y +3) the image of a(2,-1) is