2. count all rectangles of positive area formed by segments in a grid of m horizontal lines and n vertical lines.

Step-by-step explanation:

We have the grid has m horizontal lines and n vertical lines

We have to find the number of rectangles

If the grid is 1×1, there is 1 rectangle.

If the grid is 2×1, there will be 2 + 1 = 3 rectangles

If it grid is 3×1, there will be 3 + 2 + 1 = 6 rectangles.

So is there is there will be

If we add one column to firstly we will have as many rectangles in the 2nd column as the first,

And then we have that same number of rectangles.

So for rectanglesAfter solving  this we can say

For we have rectangles.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

step-by-step explanation:

answers available in this download

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