Which expression is equivalent to t^2-36

(t + 6)(t - 6)

Step-by-step explanation:

The law of the difference of 2 squares starts that the difference of two squares is equal to the product of the two numbers and their difference i.e

a^2 - b^2 = (a+b)(a-b)

Therefore,

t^2-36  = t^2-6^2

= (t + 6)(t - 6)

The expression t^2-36  is equivalent to  (t + 6)(t - 6).

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

54.864 meters

step-by-step explanation: