Shanice wants to determine the height of a tree in a field. She measures the tree’s shadow to be 36 feet long. Then she stands next to the tree and measures her own shadow to be 3 feet long. She knows that she is 5 feet tall. Using similar triangles, find the height of the tree to the nearest foot.

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.

Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. match each division expression with the correct quotient.

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