Question 4(Multiple Choice Worth 4 points) (05.01)Which equation can be used to calculate the area of the shaded triangle in the figure below?

A rectangle is shown with a width of 4 ft and a length of 12 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey.

2(12 × 4) = 96 square feet
1 over 2.(12 × 4) = 24 square feet
2(12 + 4) = 32 square feet
1 over 2.(4 + 12) = 8 square feet

∠cbe and ∠deb are same-side interior angles.

i took the test

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c