the equation for a parabola with focus (h, k+p) and directrix y=k-p is
so using your directrix y=-3, and knowing directrix is y=k-p, you have
-3=k-p.
similarly, knowing the focus is defined by (h,k+p) and your focus is (-5,-1)
you have the equation -1=k+p.
you now have a system of equations
which you can solve using any method, I will use elimination.
adding down
you now have k and can find p using either equation.
.
now you plug those in, getting the answer
4 consecutive odd integers....x , x + 2, x + 4, x + 6
product of 2 smaller numbers is 64 less then the product of the 2 larger numbers....
x(x + 2) = (x + 4)(x + 6) - 64
x^2 + 2x = (x^2 + 10x + 24 - 64)
x^2 + 2x = x^2 + 10x - 40
2x = 10x - 40
2x - 10x = -40
-8x = -40
x = -40/-8
x = 5
x + 2 = 5 + 2 = 7
x + 4 = 5 + 4 = 9
x + 6 = 5 + 6 = 11
ur numbers are : 5,7,9,and 11
The answer is : 16x - 17y
If you use the common denominator of .5 for both sides of the ratio, you will arrive at 3:5 as a simplified form.