Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of 
is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, 
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
The maximum height of the diver is therefore 4 meters.
the height of the pentagonal pyramid is 5. 70 meters
<h3>Volume of a regular pentagonal pyramid</h3>
The formula for determining the volume of a regular pentagonal pyramid is given as;
V=5/12tan(54°)ha^2
Where
- a is the base edge
- h is the height
We have the volume to be;
volume = 82. 5 cubic centers
height = h
a = 5m
Substitute the values
× 
× 
×
× 
× 
×
Make 'h' subject of formula
h = 5. 70 meters
The height of the pentagonal pyramid is 5. 70 meters
Thus, the height of the pentagonal pyramid is 5. 70 meters
Learn more about a pentagonal pyramid here:
brainly.com/question/16315924
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X-9=12
x-9+9=12+9
You need to add 9 to each side of the equation.
x=21
2 to the second power is 2 x 2 (4) , and 2 to the 3rd power is 2 x 2 x 2 (8)
-10 is the correct answer
