The map shows the three most highly populated locations of a city. City officials want to build an emergency healthcare center in a location that is the same distance from each of the three locations. Find the coordinates of the location the city should use for the emergency healthcare center.

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

6 equilateral triangles

the answer is 6

hope this !