Answer:
Base on the vertex (h, k) and the distance p between vertex and directrix, the standard form of parabola is written as:
(x – h)^2 = 4*p(y – k)
We have (-1, -5) as vertex.
=> (x + 1)^2 = 4*p(y + 5)
Now, we find p:
The distance between (-1, -5) and x = -7 is calculated by:
|-1 -(-7)| = |6| = 6
=> (x + 1)^2 = 4*6(y + 5)
=> (x + 1)^2 = 24(y + 5)
Hope this helps!
:)
Answer:
y + 6 = (-8/5)(x - 1) in point-slope form
Step-by-step explanation:
Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5
Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:
y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
Here, using the point (1, -6), we obtain:
y + 6 = (-8/5)(x - 1) in point-slope form
Start by subtracting the last two numbers
6 penalties/8 penalties
16 min/21.3
Answer:
32,432,400
Step-by-step explanation:
This you can use a permutation.
P(15,7)15x14x13x12x11x10x9
There are 32,432,400 ways to arrange it.
