The table shows the functions representing the height and base of a triangle for different values of x The area of the triangle when x= 2 is 14. Which equation can be used to represent the area of the triangle, A(x)?
Answer: option 2 is the correct answer.
Step-by-step explanation:
When x = 2, the area is 14.
It means that height = 2² + 3 = 7
It means that base = 2² = 4
Area = 1/2 × 7 × 4 = 14
Therefore, it is a right angle triangle, the formula for determining the area of the triangle is expressed as
Area = 1/2bh
Where
b represents the base of the triangle.
h represents the height of the triangle.
Since height is f(x) = x² + 3 and base is g(x) = 2x,
The equation that can be used to represent the area is
A(x) = 0.5(f.g)(x)