One side of a triangle is 9 feet shorter than the second side. the third side is 2 feet longer than the second side. the perimeter of a triangle is 38 feet. find the length of each side.

First side - 6

Second side - 15

Third side - 17

Step-by-step explanation:

The triangle has three sides and when added together they equal 38.

So if the second side is x, then the other sides are x-9 and x+2.

So x+x - 9 +x+2 = 38.

3x-7 = 38

3x = 45

x=15 so the second side is 15.

So the first side is x-9 = 15-9 = 6

The third side is x+2 = 15+2=17

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