Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -3),A(2,−3),A, left parenthesis, 2, comma, minus, 3, right parenthesis, comma B(4, -3)B(4,−3)B, left parenthesis, 4, comma, minus, 3, right parenthesis, C(4, 5)C(4,5)C, left parenthesis, 4, comma, 5, right parenthesis, and D(2, 5)D(2,5)D, left parenthesis, 2, comma, 5, right parenthesis.
What is the perimeter of rectangle ABCDABCDA, B, C, D?
units

20

Step-by-step explanation:

here is a graph showing the perimiter

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

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)