Yes, (2,5) is a solution to the equations
Answer:
see attached
Step-by-step explanation:
The equation is in the form ...
4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance
Comparing this to your equation, we see ...
p = 4, (h, k) = (3, 4)
p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...
vertex: (3, 4)
axis of symmetry: x = 3
focus: (3, 8) . . . . . 4 units up from vertex
directrix: y = 0 . . . horizontal line 4 units down from vertex
Answer: 31.43 cm
Step-by-step explanation:
The length of an arc is calculated using the formula:
X 2
r
where : theta is the angle in degree
r = radius
If the angle is given in Radian , the length can be calculated using the formula:
L = r∅
Since , the angle is given in degree , we will use the first formula.
L =
X 2
r
L =
X 2 X π X 15
L =
X 2 X
X 15
L = 
L = 31.42857143
L ≈ 31.43 cm
The volume of the cylinder will be equal to 1017.87 cubic feet.
<h3>What is volume?</h3>
Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, the volume will be calculated by radius and the height of the cylinder.
Given that:-
- A cylinder has a base radius of 9 feet and a height of 4 feet.
The volume of the cylinder will be calculated by using the formulas below:-
V = πr²h
V = π ( 9 )² 4
V = 1017.87 cubic feet.
Therefore the volume of the cylinder will be equal to 1017.87 cubic feet.
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