The height, h, in feet of a buoy in relation to sea level as a function of time, t, in seconds can be modeled by the graph below. how long does it take for the buoy to go from its highest point to its lowest point and then back to its highest point?

4 seconds

D is correct

Step-by-step explanation:

The height, h, in feet of a buoy in relation to sea level as a function of time, t, in seconds can be modeled by the graph attached.

We need to find the time when a buoy moves from highest point to lowest and than lowest to highest.

It means we have to find the time take between two consecutive highest point.

We will draw vertical lines at two consecutive highest point and mark time of that line.

Now we will take the difference of time.

This time will take to move a buoy highest point to its lowest point and then back to its highest point.

Please see that attachment for vertical line.

First Highest point H1 at t=1 seconds

Second Highest point H2 at t=5 seconds

Time take between H1 and H2 = 5-1 = 4 seconds

Hence, 4 seconds will take for buoy to go from its highest point to it's lowest point and then back to its highest point.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

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.