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:
C(15, 7)
(15 * 14 * 13 * 12 * 11 * 10 * 9)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 6435 groups
113 groups, since the place value of the 4 is divisible by 4 you can predict that the quotient is about 100
Answer:
the answer is 0.60
Step-by-step explanation:
took the test so i could answer for you >.<
Answer:
a) The variable of interest is the students' preferred way/method of study.
b) The variable of interest is a qualitative variable.
Step-by-step explanation:
a) The survey was setup to investigate the preferred way of study for students in Orange County Community College.
Hence, the variable of interest is the students' preferred way/method of study.
b) Since this variable of interest cannot take on numerical values, it can only be expressed in qualitative means (in the different ways that students study), the variable of interest is a qualitative variable.
Hope this Helps!!!
