The diameter of a bacteria colony that doubles every hour is represented by the graph below. what is the diameter of the bacteria after 9 hours? graph of a curve passing through the points zero comma 1, one comma two, two comma four, and three comma eight courtesy of texas instruments 128 256 512 1,024

For this case we have a function of the form:

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

Clearing A we have:

Then, the function is given by:

For after 9 hours we have:

the diameter of the bacteria after 9 hours is:

answer: i think it is (1,-2)

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.