Question

The equation x2 + (y + 3)2 = 36 models the boundary on a local map for which Darren can hear his friend Tom on his two-way radio when Darren is at home. How far (in miles) can Tom walk from Darren's home and still be heard?

3 miles
6 miles
2 miles
12 miles

Answer 1

It's B. 6 miles.
You're doing k12?

Answer 2

The given equation represents equation of a circle .

The equation of circle is :

`(x-h)^(2) + (y-k)^(2) =r^(2)`

where (h,k) is the center of circle and r is radius.

Now our given equation is :

`(x)^(2) + (y+3)^(2) =36`

Rewriting it in the form of equation of circle:

`(x-0)^(2) + (y+3)^(2) =6^(2)`

So here radius is 6.

Answer : Tom can walk 6 miles from Darren's home and still be heard.