Answer:
<h2>1. (-6, 0) and (-1, 0)</h2><h2>2. not exist</h2><h2>3. (5, 0)</h2>
Step-by-step explanation:
The zeros of a quadratic function are x-intercepts of parabola.
Graph #1:
x = -6 and x = -1
Graph #2:
not exist
Graph #3:
x = 5
Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
=====================================================
Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
Answer:
1. 3rd degree
2. No degree
3. First degree
4. 8th degree
Step-by-step explanation:
Hope this helps!
Answer:
V ≈ 68.63 cm³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = 
πr³
the volume of a hemisphere is half the volume of a sphere, so
V = 
× πr³ = 
πr³ , then
V = π × 3.2³
= π × 32.768
≈ 68.63 cm³ ( to 2 dec. places )
Answer:
the axis of symmetry is X = 1
Step-by-step explanation:
make sure to ask if you need any further guidance.
