Write the equation in standard form and then find the center (h, k) and radius r of the circle. Be sure to show all answers.

x2+8x+y2+4y−5=0

The standard form equation is .

The center is and the radius is .

Step-by-step explanation:

The standard form of an equation of a circle is where is the center and the radius is .

To write the equation in the form of the standard circle equation you must:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

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