Answer:
180,45
Step-by-step explanation:
Because the coefficient of x^2 is -1, we know that a will be -1. Knowing that the coefficient of x is -4, we can calculate that p=2. Thus, we have -1(x+2)^2+q is our equation. This is equal to -x^2-4x-4+q. As the constant term must be 2, we can then see that q is 6.
As such, we have -1(x+2)^2+6=0 as our factorization.
To solve this equation, we can use the quadratic formula. Plugging in values, we have:

which is equal to: (when the fraction is simplified)
width= 7m
Step-by-step explanation:
Area= L×W
L= (x+8)m
W=8m
105m²= (x+8)m × (x)m
105m²= x² + 8x
-x² - 8x + 105= 0
(x-7) (x+15) = 0
x= 7 x= -15
x=width = 7m
Answer:
7:8
Step-by-step explanation:
You're starting at 400. Each time you're cutting in half.
So the common ratio is 1/2 which means the equation is

which is in the geometric sequence format. So the answer is choice D