What is the area of the triangle?

S = S(ABCD) - S(BCE) - S(AED) = 7*6 - 2*6/2 - 5*6/2 = 42 - 6 - 15 = 21

Step-by-step explanation:

If we look at the picture, we can notice that the area we are interested in is S(ABCD) - S(BCE) - S(AED). Y-axis is parallel to AB line since the coordinates of the A and B points have the same X-axis value.

The following calculations happend for figuring out the width for each line:

The formulas for each figure area:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

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