Step-by-step explanation:
the area of a triangle is
baseline × height / 2
we have here 2 triangles : the larger, outer shaded one, and the smaller, inner white one.
to get the area of the shaded part, we need to calculate the area of the large triangle and subtract the area of the smaller triangle.
large area :
12 × 15 / 2 = 6 × 15 = 90 ft²
small area :
8 × 10 / 2 = 4 × 10 = 40 ft²
the shaded area is
90 - 40 = 50 ft²
Answer: Function g reflected function f across the x-axis.
For function g, as x approaches negative infinity, g(x) approaches negative infinity.
Function f is symmetrical about the point (4,6).
Answer:

Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:

Now that we have our equation, let's distribute the
and the
into the parentheses they are next to:

Combine like terms:

Subtract
from both sides of the equation:

Divide by the coefficient of
, which is
:

~
Check your work by substituting
into one of the equations above:



It's correct!