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:
Last Option .
Step-by-step explanation:
In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.
Common factors of 36h³ = 1×2×2×3×3×h×h×h
Common factors of = 1×2×2×3×h×h×h×h×h×h
In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³
Therefore the third term will be the number which has the greatest common factor = 12h³
So the given terms are
6h³ = 1×2×3×h×h×h
12h² = 1×2×2×3×h×h
= 1×2×3×5×h×h×h×h
= 1×2×2×2×2×3×h×h×h×h×h
Therefore the greatest common factor of the term which matches with 12h³ is
Answer:
C
Step-by-step explanation:
Given
3 = 24 ( divide both sides by 3 )
= 8
Raise both sides to the power of
x + 9 = =
=
= 16 ( subtract 9 from both sides )
x = 7 → C
Answer:
881.5 meters.
Step-by-step explanation:
The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.
The height of the cliff = x + y
Applying the appropriate trigonometry functions.
To determine the value of x;
Tan θ =
Tan =
⇒ x = 490 x Tan
= 490 x 0.7265
= 355.985
x = 356 meters
To determine the value of y;
Tan θ =
Tan =
⇒ y = 490 x Tan
= 490 x 1.0724
= 525.476
y = 525.5 meters
Therefore,
The height of the cliff = x + y
= 355.985 + 525.476
= 881.461
The height of the cliff is 881.5 meters.