The area of a triangle with the fixed base equal to 34in depends on the length of its altitude. Write the formula that describes the area of a triangle as the function of its altitude’s length.

  A = a(17 in)

Step-by-step explanation:

The area (A) is given in terms of the base (b) and altitude (a) by the formula ...

  A = (1/2)ba

Filling in the given dimension, we have ...

  A = (1/2)(34 in)a

  A = a(17 in)

__

If the altitude has dimensions of inches, then the area will be in square inches. Otherwise some conversion will be necessary to get the area in square units.

You're probably expected to write this without the units:

  A = 17h . . . . if h represents the altitude (height)

a negative exponent is translated as follows:

so, we have

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