We are given an equation:

This is an equation of a circle. General form of a circle equation is:

Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle
Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.
From the equation we have:

The greatest distance at which person can be detected is 4ft.
The points are at (8,0) and (0,6)
(3782 - 192) : 2 = 1795 (first number)
1795 + 192 = 1987 ( second number)
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1987 - 1795 = 192
1987 + 1795 = 3782
The maximum height is 64ft and the ballon is only in the air for 2 seconds
Answer:

Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of
would be 2, and in the case of
the value would be 2. This would result in the equation:
. Then simply combine like terms to get your final answer.