What is the radius of a circle whose equation is x2+y? +8x-6y+21=0?
2 units
3 units
4 units
5 units

  2 units

Step-by-step explanation:

Completing the squares for the x- and y-terms, we get ...

  (x^2 + 8x) +(y^2 -6y) = -21

  (x^2 +8x +16) +(y^2 -6y +9) = -21 +16 +9

  (x +4)^2 +(y -3)^2 = 2^2

Compare this to the standard form equation for a circle:

  (x -h)^2 +(y -k)^2 = r^2

and we see that the radius (r) is 2.

Step-by-step explanation:

The given equation is

To find the radius of the circle, we have to complete the squares for both variables, that would give us the explicit form, through which we can determine the radius.

So, according to this result the radius is 2, because the explicit expression of a circle states:

Where the right part of the equation is the square power of the radius.

Therefore, the radius is 2 units.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b