Let L1 and L2 be perpendicular lines, and let F be a point at a distance 18 from line L1 and a distance 25 from line L2. There are two distinct points, P and Q, that are each equidistant from F, from line L1, and
from line L2. Find the area of 4F P Q.

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.

Determine the intercepts of the line that passes through the following points. (15,-3)(15,−3) (20,-5)(20,−5) (25,-7)(25,−7)

For the functions f(x) = -922 – 2x and g(x) = -32? + 6x – 9, find (f - g)(x) and (f - ).