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expeople1 [14]
3 years ago
9

The geographic center of Tennessee is near Murfreesboro. The closest Doppler weather radar is in Nashville. If Murfreesboro is d

esignated as the origin, then Nashville has coordinates (–58, 55), where each unit is one mile. If the radar has a radius of 80 miles, write an equation for the circle that represents radar coverage from Nashville.
Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0
1) Nashville = center = (-58, 55) => Xc = - 58miles, Yc = 55miles

2) radius = 8 miles

3) General equation of a circle: (x - Xc)^2 + (y - Yc)^2 = radius^2

4) equation of the circle that represents radar coveraga:

(x - (-58) )^2 + (y - 55)^2 = 80^2

=> (x + 58)^2 + (y - 55)^2 = 6400

Answer: (x + 58)^2 + (y - 55)^2 = 6400
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