Shortest Distance between circles

[sickplaya]

The question is:

Find the distance between the circles 9x^2 + 9y^2 = 25 and (x + 5)^2 + (y - 12)^2 = 4 at the points where they are closest.

I got an answer of 9.33 but I'm not sure if I'm correct

thanks

 

[stapel]

I got an answer of 9.33

How did you get that value? Why do you think it may be incorrect?

Thank you.

Eliz.

 

[sickplaya]

is it correct or not? i tried to solve it by drawing a line connecting the two radius(es) and set that line as the hypotenuse of a right triangle. The other two sides of the triangle 12 and 5 based on the radius of (x+5)^2 + (y-12)^2 =4

 

[tkhunny]

It sounds like you have the right idea. Do you have a problem with fractions? What's wrong with \(\displaystyle \frac{28}{3}\)?