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9966 [12]
3 years ago
15

The equation (x-3)^2+(y+7)^2=64 models the position and range of the source of a radio signal. Describe the position of the sour

ce and the range of the signals.

Mathematics
2 answers:
12345 [234]3 years ago
7 0
\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad 
radius=\stackrel{}{ r}\\\\
-------------------------------\\\\
(x-3)^2+(y+7)^2=64\implies [x-\stackrel{h}{3}]^2+[y-(\stackrel{k}{-7})]^2=\stackrel{r}{8^2}
\\\\\\
center~(3,-7)\qquad radius=8

so, the broadcast location and range is more or less like the picture below.

DaniilM [7]3 years ago
6 0
This is the equation of a circle with center (3, -7)  which gives you the position of the source and the 64 is the square of the radius. So  the range of the signals is in a circle radius 8 miles from the center.
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