(Y/5.6=12)*5.6
Y=12*5.6
Y=67.2 is the correct answer
We need to find the points that are solutions, that is, the points that lie in the shaded region.
Let's try the ordered pair (1,2). This isn't in the shaded region, so it is not a solution of the system.
The same goes for (-10, 10) and (-2,0).
But when you plot (0,10), it does lie in the shaded region, so it's a solution of the system of inequalities.
Answer:
-8
Step-by-step explanation:
For roots r and s, the quadratic can be factored ...
f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs
Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...
r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2
Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...
(x-coefficient)^2 -2(constant term)
we get ...
r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6
r^2 +s^2 = 2(m -1)^2 -8
The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.
