Mr. Williams drew △ABC on a coordinate grid and asked his students to determine the transformations that will result in a transformed figure △ABC such that △ABC is similar but NOT congruent to △ABC Two student responses are shown below.

Student 1: Reflect △ABC across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.

Student 2: Dilate △A B C by a scale factor of 2 and the center of dilation at the origin and then reflect it across the x-axis.

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.

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

What is the equation of a line passing through (-6,5) and having a slope of 1/3