Area of a circle is pi x r^2
R is the radius which is have the diameter: r = 10/2 = 5
Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.
A semi circle is half a full circle
Area of the semi circle = 78.5/2 = 39.25 square units.
According to the vertex and the directrix of the given parabola, the equation is:
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
In which a is the leading coefficient.
The directrix is at y = k + 4a.
In this problem, the vertex is (1,4), hence:
The directrix is at y = 7, hence:
Hence, the equation is:
More can be learned about the equation of a parabola at brainly.com/question/26144898
Answer:
g(2) = 27 is the answer.
Step-by-step explanation:
If the function is g(x) = (5 - x)³
By expanding (5 - x)³ = 5³-3.5²x + 15x² -x³
g(x) = 125 - 75x + 15x² - x³
Now g(2) = 125 - 75×2 + 15×(2)² - 2³
g(2) = 125 - 150 + 60 - 8
= -25 + 60 - 8
= 35 - 8 = 27
Or directly putting the value x = 2 in g(x) we get
g(2) = (5 - 2)³ = 3³ = 27
Therefore g(2) = 27 is the answer.
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