Answer:
The area of the shaded region is
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle color blue minus the area of the circle color green
The area of the circle is equal to
so
assume
Write g(x) = –16x + x2 in vertex form. Write the function in standard form. Form a perfect square trinomial by adding and subtra
ctingStartFraction b Over 2 EndFraction squared . Write the trinomial as a binomial squared. Write the function is in vertex form, if needed. g(x) = x2 – 16x b = –16, so StartFraction negative 16 Over 2 EndFraction squared = 64 g(x) = (x2 – 16x + 64) – 64 g(x) = (x – )2 –
2 answers:
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for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)
for every x greater than zero, use the second line to determine the value
hope this helps and gives some insight what to do.
if there are open questions left, feel free to ask them in the comments
have a beautiful day
-Alex