Need quick! 30 !

find an equation of the circle and sketch it: k center on line y=8–x, tangent to both axes

Step-by-step explanation:

Let A(a,b) be the center of the circle. This point lies on the liny y = 8 - x.

So,

Let points B and C be tangent points, so

Find the radii AB and AC:

All circle's radii are the same, so

Solve each equation:

or

has no solutions.

Thus, the center of the circle is at point (4,4) and the radius is r = |a| = 4.

Therefore, the equation of the circle is

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