Use slope to determine whether the quadrilateral with the vertices a(2, 2), b(3,-1), c(5,2). and d(4,5) forms a parallelogram. if it is a parallelogram, determine whether it is also a rhombus 5. (8 points) determine if the line passing through the points (-3,0) and (1,4) also passes through the center of the circle given by the equation + y + 2x - 4y +1 -0. make sure to provide a complete argument to support your answer.

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.

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

2pointswhich of the following appear in the diagram below? check all that apply. d a. zcdeов. сеo c. aéo d. zdce