x = 2
<em>right</em><em> </em><em>option</em><em> </em><em>is</em><em> </em>(E).
Step-by-step explanation:
f(x) = x³ - 3x² + 12 in interval [-2, 4]
{taking f'(x) by doing derivative of f(x)}
f'(x) = 3x² - 6x
.•. f'(x) = 0
0 = 3x² - 6x
0 = 3x(x - 2)
0 = x - 2
x = 2
The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.
The sides of the triangle are given as a = 20, b = 15, and c = 25.
We will use Hero's formula to find the area of this triangle.
<h3>What is Heron's formula?</h3>It is a three-face polygon that consists of three edges and three vertices.
We use Heron's formula to find the area of a triangle with 3 sides:
Herons formula:
Area of a triangle =
Where a, b, and c are sides of a triangle.
And s = semi perimeter of a triangle.
s =
If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.
Let the given sides be:
a = 20, b = 15 and c = 25.
(20 + 15) > 25
(20 + 25) > 15
(15 + 25) > 20 so the given sides are true.
Now,
Semi perimeter of the triangle:
s = (a+b+c) / 2
s = (20+15+25) / 2
s = 60 / 2
s = 30
Putting s = 30 in the area of the triangle.
we get,
Area of the triangle =
Area of the triangle =
Thus, the area of a triangle is 150.
Learn more about the Area of triangles here:
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