Answer:
or in slope y-intercept form :
Step-by-step explanation:
The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point 
it goes through:
In our case the equation becomes:
This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:
It's not clear what polynomial you posted, but let's say you had the polynomial
5x^3+7x^2-9x+10
This is a cubic polynomial as the largest exponent is 3. The degree is also 3. The degree of the polynomial is equal to the largest exponent.
Change the equation to slope intercept form:
-5y=-x+10
y=1/5x-2
The y intercept is -2
Assuming the keypad has all 26 letters and the numbers 1-9 there are 2106 possible codes
9x9x26=2106
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:
