Given:
A regular polygon with three vertices and side 14 cm.
To find:
Area of the regular polygon.
Solution:
We know that, a regular polygon has equal sides and equal interior angles.
The given regular polygon has three equal sides, it means it is an equilateral triangle.
The area of an equilateral triangle is:
Where, a is the side length of the triangle.
Putting , we get
Therefore, the area of given regular polygon is 84.9 cm².
Answer: f(-2) = 11
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
<u>Given information</u>
f (-2) or x = -2
<u>Given function</u>
f(x) = -x² - 10x - 13
<u>Substitute values into the function</u>
f(-2) = -(-2)² - 10 (-2) - 13
<u>Simplify exponents</u>
f(-2) = -(4) - 10 (-2) - 13
<u>Simplify by multiplication</u>
f(-2) = 4 + 20 - 13
<u>Simplify by addition/subtraction</u>
f(-2) = 24 - 13
f(-2) =
Hope this helps!! :)
Please let me know if you have any questions