Answer:
About 6 inches tall.
Step-by-step explanation:
One book has a thickness of 2 inches.
Another book has a thickness of 3.56 inches
Converting 2 inches to decimals will give; 2.4285714286 inches
If the books are stacked together, they become 2.4285714286 inches + 3.56 inches = 5.988571429 inches tall or about 6 inches tall (answer rounded up to nearest whole number).
Answer:
Step-by-step explanation:
The distance between the focus and the directrix is the vertical distance from the point to the line:
1 -(-3) = 4
The vertex is half that distance between the point and the line, so is at x=2 and ...
y = (-3 +1)/2 = -1
The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...
y = (1/(4·2))(x -2)² -1
y = (1/8)(x -2)² -1
_____
<em>Check</em>
Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.
