Refer to the figure shown below.
Because the maximum height of the parabola is 50 m, its equation is of the form
y = ax² + 50
This equation places the vertex at (0,50). The constant a should be negative for the vertex to be the maximum of y.
The base of the parabola is 10 m wide. Therefore the x-intercepts are (5,0) and (-5,0).
Set x=5 and y=0 to obtain
a(5²) + 50 = 0
25a = -50
a = -2
The equation of the parabola is
y = - 2x² + 50
At 2 m from the edge of the tunnel, x = 5 - 2 = 3 m.
Therefore the height of the tunnel (vertical clearance) at x = 3 m is
h = y(3)
= -2(3²) + 50
= - 18 + 50
= 32 m
Answer: 32 m
Answer:
the circle is a square so that means a triangle is a circle
Step-by-step explanation:
Answer:
Step-by-step explanation:
A) 3x−12≥15
3x ≥ 15 + 12
3x ≥ 27
or x≥ 9
B) 2x−5≤9
2x ≤ 9 +5
2x ≤ 14
or x ≤ 7
C) 5x+8≤53
5x ≤ 53 -8
5x ≤ 45
or x ≤ 9
D) 3x−5≥16
3x ≥ 16 + 5
3x ≥ 21
or x ≥ 7
Have a good day!
Least to Greatest:
1/5, 3/10, 6/5, 3/2
Or simplified in decimal form:
0.2, 0.4, 1.2, 1.5
Answer:
5/18
Step-by-step explanation: