432 characters can be expected to fit per yard of text. The following solution can be used:
Let x be the number of characters to be used in a yard
12 characters / in = x/ 36 in
(12 characters * 36 in) / in = x
x = 432 characters
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well -2(-1/4) is .5
so -2, .5,(multiply each by -1/4)
-2, 0.5, -0.125, 0.03125
The answer to the question is b
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