The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is
Need to determine value of r.
Slope of a line passing through point is given by following formula:
--- eqn 1
On substituting the given value in (1) we get
Hence the value of "r" is -2
It is given that the area of the circular garden = 100
Area of circle with radius 'r' =
We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.
Since, area of circular garden = 100
So, r = 5.6 ft
r = 6 ft (approximately)
Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.
So, Option A is the correct answer.