Write a linear function f with the values f (6) = 8 and f (9) = 3.

Given:

Two values of a linear function are f (6) = 8 and f (9) = 3.

To find:

The linear function.

Solution:

According to the question f (6) = 8 and f (9) = 3, it means the function passes through (6,8) and (9,3).

If a linear function passes through two points then the equation is

So, the equation of linear function is

Add 8 on both sides.

Function form is,

Therefore, the required linear function is .

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

the first option is the answer.