Answer:
y = 18.25
Step-by-step explanation:
The 2-point form of the equation of a line can be used to write the equation of the line through the given points.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-2 -7)/(3 -(-1))(x -(-1)) +7
y = -9/4(x +1) +7
For x = -6 this evaluates to ...
y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7
y = 18 1/4
we know that
The area of the hexagon is equal to the sum of the areas of the six equilateral triangles
Let
x-------> area of one equilateral triangle
so
Divide by both sides
-------> area of one equilateral triangle
To find an equivalent expression for the area of the hexagon based on the area of a triangle, multiply the area of one equilateral triangle by
therefore
the answer is
The equivalent expression is equal to
