Answer:
Since the focus is at (-6,-11) and the directrix is at y=9:
The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1). (Draw this on graph paper if that doesn't make sense.)
The general form (conics form) of a parabola: 4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).
(h,k) = (-6,-1)
p = 10 (distance between focus and vertex), so 4p = 40.
Therefore:
40(y+1)=(x+6)^2
Or if you need to rearrange to "vertex form": y=(1/40)(x+6)^2 - 1
Step-by-step explanation:
1/2*-3 1/2 = -21/4 = -5 1/4= <em>-5.25</em>
I hope this helps!!
Answer:
The strategies (2), (3) and (5) can be applied.
Step-by-step explanation:
In this case we need to compute the product of 629 × 100.
The product can be found in the following ways:
- multiplying (600 + 20 + 9) x 100
- putting 2 zeros on the end of 629
- multiplying (6,000 + 200 +90) x 10
Thus, the strategies (2), (3) and (5) can be applied.
Answer:
1. Given
2. Alternate interior angles theorem
3. Reflexive property of congruence
4. Alternate interior angles theorem
5. ASA triangle congruence theorem
Step-by-step explanation:
