A large garden has a set of underground sprinklers. Suppose the center of the garden is located at the origin of a grid with int
ervals measured in feet. One sprinkler is positioned at (2, 4) and reaches a radius of 8 feet. The second sprinkler is positioned at (–6, –4) and reaches a radius of 6 feet. The system of inequalities represents this scenario.
Which location is in the region for plants receiving the maximum amount of water?
(–3, –1)
(–7, 1)
(1, –5)
(2, 1)
Which location is in the region for plants receiving the maximum amount of water?
(–3, –1)
(–7, 1)
(1, –5)
(2, 1)
2 answers:
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Answer:
(x-8)(x+7)
Step-by-step explanation:
using quadratic formula we have
x=
we have:
x^2-x-56=0
a= 1 b=-1 c=-56
so we have:
x=(-(-1)+-sqrt(1^1-4*(1)*(-56)))/(2*1)
x=1+-sqrt(1-4*(-56))/(2)
x=(1+-sqrt(225))/2
x=(1+-15)/2
so we have the roots:
x1=(1+15)/2 =8
x2=(1-15)/2=-7
so the answer is (x-8)(x+7)