The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,
Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
Answer: 
<u>Step-by-step explanation:</u>
Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.
Answer:
x= -5/3 y-5
Step-by-step explanation:
Answer:
but the answer is that all real numbers greater than 16 and less than 25 would have square roots between 4 and 5.
Answer:
Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)
Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)
Step-by-step explanation:
Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)
Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)
