Find the average rate of change of f(x)= x^3 - 4x^2 + x + 2 from x=1 to x=4
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Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
Now, comparing areas:
2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>