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:
Answer:
The fish will be at a distance of 5 3/4 ft from the water surface at 4:00 pm
Step-by-step explanation:
Here, we want to find a rational number that represents the position of the Fish at 4pm
Initially it was at a depth of 2 1/2 ft below the water surface
At 4pm, it went 3 1/4 ft further
Thus, its position with respect to the water surface at 4 pm will be;
2 1/2 + 3 1/4
= 5/2 + 13/4 = (10 + 13)/4 = 23/4 = 5 3/4 ft
Answer:
B) SAS
Step-by-step explanation:
Notice that there are two pairs of congruent sides, AC is congruent with ZX, and BC is congruent with YZ. Since there's one angle in each triangle that's congruent to each other, we can say B is the only true answer.
Answer:
38
Step-by-step explanation:
Answer:
a^2+b^2=c^2
Step-by-step explanation:
8^2+b^2=24^2
64+b^2=144
subtract 64 from both sides
b^2=80 take the square root of 80
b=8.9
the ladder is 8.9 feet up the wall
