Question

The area of the triangle is given by the functions area of triangle A:x2 + x area of triangle B: x2 - 3x which functions represents the sum of the areas of the two triangles? 1. 4x 2.-4x 3.x2-4x 4.2x2-2x

Answer 1

Answer:

4.   2x^2 - 2x.

Step-by-step explanation:

Adding the 2 functions:

Area of the 2 triangles = x^2 + x + x^2 - 3x

= .2x^2 - 2x

Answer 2

Answer:

OPTION 4

Step-by-step explanation:

Let be f(x) the function that represents the area of Triangle A:

$f(x)=x^2 + x$

Let be g(x) the function that represents the area of Triangle B:

$g(x)=x^2 - 3x$

Then, you need to add the area of Triangle A and the area of Triangle B in order to find the sum of the areas (Let be h(x) the function that represents the sum of the the areas of triangles A and B):

Therefore, this is:

$h(x)=(x^2 + x)+(x^2 - 3x)=x^2 + x+x^2 - 3x=2x^2-2x$

You can notice that this matches with the option 4.