Compare and contrast the Pythagorean theorem, a circle, and the distance formula

The distance formula is a formalization of the Pythagorean Theorem using x and y coordinates. In other words, they are the same thing in two seemingly different contexts. Every point (x,y) on the circle is related to the circle's center (a,b) by the fact that the distance between the point and the center is a constant (the radius of the circle, r).  Equation of a circle is exactly the Pythagorean theorem with specific values plugged in.

Step-by-step explanation:

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step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.

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