Answer:
4 ft
7.2 ft
20 ft
Step-by-step explanation:
When the balloon is shot, x = 0.
y = -0.05(0)² + 0.8(0) + 4
y = 4
The balloon reaches the highest point at the vertex of the parabola.
x = -b / 2a
x = -0.8 / (2 × -0.05)
x = 8
y = -0.05(8)² + 0.8(8) + 4
y = 7.2
When the balloon lands, y = 0.
0 = -0.05x² + 0.8x + 4
0 = x² − 16x − 80
0 = (x + 4) (x − 20)
x = -4 or 20
Since x > 0, x = 20.
<em>b) 30</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>
the side opposite the angle of 30 is </em><em>half</em><em> the hypotenuse</em>
<em>x = 2×15</em>
<em>x = 30</em>
<em>Good luck !</em>
