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:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)
Answer:
A). 
B). 
Step-by-step explanation:
A). 
To get the square root of the given expression we will convert it into the square form.
[Since 2×2 = 4 and 
]
Therefore, 
B). 
Since, 
Therefore, 
[Since 3² = 9 and (m⁷)² = m¹⁴]
Answer:
the base of the window is 5.5 or 5 1/2 ft
Step-by-step explanation:
a = bh
h = b/a
25 2/3 divided by 4 2/3 is 5.5
or
5 1/2
dont forget to mark as brainliest !!
Step-by-step explanation:
$ 900 is the answer. as i shown in the attachment
