In Exercises 31–40, write the standard form of the equation of th...

Question

In Exercises 31–40, write the standard form of the equation of the circle with the given center and radius. Center (-1, 4), r = 2

Accepted Answer

or a circle with the following center and radius Finance equation in standard form, center equals 92 15 common 18 radius equals five. Let's go ahead and simplify this. So let's write out the equation of a circle equation of a circle. And Standard Form is given by x minus h squared plus y minus k squared equals r squared. And so now we want to go ahead and find out whether H. K and R R. So the center of a circle is given by h comma K. And the radius is given by art. If you look at our problem, R H is gonna be negative 15. The K will be 18 And the R will be five. Let's go ahead and plug this into our formula. So We have X -20 squared plus y minus 18 squared equals five squared. Well, just simplify again, X -90 15. gives us x plus 15 squared plus y minus 18 squared Equals five squared is 25. We can't simplify this any further. So this is our answer. So this makes the answer to our problem. Answer A Okay help help you solve the problem. Thank you for watching. Goodbye

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

In Exercises 31–40, write the standard form of the equation of the circle with the given center and radius. Center (-1, 4), r = 2