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.
Volume of a prism is base *hieght
Answer:
Orca Correct, Sea Star Wrong. Heart it if it was helpful :D
Step-by-step explanation:
11-4=7. Orca correct.
Sea star...11-4=7
Wrong its 7, not -7
Answer: B. 233 (rounded)
Step-by-step explanation:
1: 700/6= 166.6
2: 166.6+166.6=233.332
3 round to 233
We can say that the area of the figure equals...
5.5 by 9 rectangle - 2 by 2 triangle - 2 by 5 triangle - 9 by 3.5 triangle
5.5 by 9 rectangle = 5.5 x 9 = 49.5 un²
2 by 2 triangle = 1/2 x 2 x 2 = 2 un²
2 by 5 triangle = 1/2 x 2 x 5 = 5 un²
9 by 3.5 triangle = 1/2 x 9 x 3.5 = 15.75 un²
area of figure = 49.5 un² - 2 un² - 5 un² - 15.75 un² = 26.75 un²
answer: 26.75 un²