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:
A= 16 B=28
Step-by-step explanation:
So the ration is 4:7, you have to find multiples that have that same ratio
Multiply both numbers by 4, this should get you
16:28
16 + 28 = 44
Therefore this is the correct answer
Answer:
the slope is -3/2
Step-by-step explanation:
We need to get the equation in the form
y = mx +b where m is the slope and b is the y intercept
6x+6 = -4y
Divide by -4
-6x/-4 +6/-4 = -4y/-4
-3/2 x -3/2 = y
The slope is -3/2 and the y intercept is -3/2
V of cylinder = πr²h
h=V /(πr²)
h=27/π -exact value
h=1323/(3.14*(7)²)= 8.6 cm - approximate value