Earth is represented on a map of a portion of the solar system so that surface c

Question

Earth is represented on a map of a portion of the solar system so that surface circle with the equation x squared plus y squared plus 6X + 8 y minus 3575 equals 0 a weather satellite surgical 0.7 unit above Earth with the center of its Circle orbit at the center of the earth find the equation for the orbit of the satellite on this map

MAT 200 5506 Test Exam 1 Time Remaining: 00 13of4 This Question: 1 pt Sutmt Test 9 or 24 122 complete v This Test: 24 pts possitun Eanh is represented on a map at a portion af the system so that its aatEste is the cich wth equaton +Y Ex By 3ss ad A wwuther sat ste odes s 7 un abavu with the career of Choose the correct answer below 3563.49 -0 3600

Explanation / Answer

For given equation,

x2+y2+6x+8y-3575=0

center is ( -3 , -4 )

and radius, r = (3575-9-16)1/2 = 60 units

Now for satellite orbit,

center is ( -3 , -4 ) and   radius, r' = 60+0.7 = 60.7 units

Equation of satellite orbit,

(x+3)2 + (y+4)2 = (60.7)2

or   x2+y2+6x+8y-3659.49 =0

D is correct

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