If x represents the time the average rate of change of function in the first two seconds is

Rate of change of function in first 2 seconds is units per second.

Step-by-step explanation:

Average rate of change of a function is its gradient/slope (m)

Gradient or the rate of change can be calculated by the following equation,

Here refers to a certain y axis value of the line drawn and is the x value that corresponds to that y value. and operates with same logic.

Lets pick a y value from the graph,

= 100

So the x value corresponding to that () would be 2

Lets pick another y value from the graph.

= 50

So the x value corresponding to that () would be 0

So by substituting to the equation for gradient or the rate of change,

=

=

=

The graph is a linear graph so the rate of change of function is the same in every position.

Therefore the Rate of change of function in first 2 seconds is units per second.

answer: 40.95

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584