Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the image A′B′C′D′.

The slope of is .

The slope of CD is 2

Step-by-step explanation:

The transformation done is dilation and the Dilation preserves the parallel lines that means that the image line C'D' of the line CD are parallel to each other and their slopes are same. so we have to find the slope of CD.

If the line is passing through the points (x1, y1) and (x2, y2), the slope is

From the diagram the coordinates of points C and D are :

C(5, 4), D(4, 2).

Thus, the slope of CD is

  = 2

Hence, The slope of CD is 2, it does not change after dilation.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: