<span>It is required to find the highest altitude (in meters) .
</span>
For the given <span>quadratic function ⇒⇒ A(t) = −(t − 11)² + 115</span>
From the attached figure which represents the graph of the given function
the maximum will be at point (11,115)
So, <span>
the highest altitude (in meters) = 115 meter</span>
<span>
and it will reach it at t = 11 </span><span>
seconds</span>
Answer:
y=(x-5)^2 - 6
Step-by-step explanation:
Subtracting the 5 to the x moves the parabola 5 units to the right. Putting the -6 at the end moves the parabola down 6 units.
Answer:
The angle complies with the state regulations.
Step-by-step explanation:
The angle of elevation is the angle
in the figure, and from trigonometry we find that

taking the inverse sine of both sides we get

which gives

which is less than 5°, and therefore is well within the state regulations.
Answer: c
Step-by-step explanation:
Answer:
A) -4
B) 4 units apart
C) no values of x
Step-by-step explanation:
1) slope of m: (3-2)/(10-8) = ½
m(x) = ½x + c
2 = ½(8) + c
c = -2
m(x) = ½x - 2
m(16) = 6
h(4) = (4-2)²/2 = 4/2 = 2
h(4)-m(16) = 2-6 = -4
B) y-intercept of:
*h(x) = ½(0-2)² = 2
*m(x) = -2
from the equation found before
2 - (-2) = 4 units apart
C) m(x) = (x-4)/2
m(x) > h(x)
(x-4)/2 > ½(x-2)²
x-4 > x²-4x+4
x²-5x+8 < 0
(x - 2.5)² + 1.75 < 0
Never negative