<h3>Answer:</h3><h3>Exact area =

square cm</h3><h3>Approximate area = 2.598 square cm</h3>
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Work Shown:
s = side length of equilateral triangle = 1 cm
A = area of equilateral triangle with side length 's'



This is just one of the 6 equilateral triangles (see diagram below)
Multiply by 6 to get the area of all 6 equilateral triangles, or the entire hexagonal area



Answer:
= 3x - 3y
Step-by-step explanation:
The easiest way to solve this problem is to find the equation of the line joining these two points, then get the values of the points on this line.
We have first point (x1,y1) = (-3,4) and second point (x2,y2) = (1,1).
The equation of the line is y = mx + c
The slope (m) = (y2-y1) / (x2-x1) = (1-4) / (1--3) = -0.75
Then we will use one of these points to get the value of c as follows:
y = mx + c
1 = -0.75 (1) + c ..............> c = 1.75
The equation of this straight line is:
y = -0.75 x + 1.75
Now to get points on this line, we will assume values for either x or y and calculate the other as follows:
1- For x = 0:
y = -0.75 (0) + 1.75 = 1.75
point is (0,1.75)
2- For y = 0:
0 = -0.75 x + 1.75 ..............> x = 2.334
point is (2.334,0)
3- For x = 2:
y = -0.75(2) + 1.75 = 0.25
point is (2,0.25)
Factorize the sum of cubes:

so
is a factor of
. Then the HCF is
.