Consider the two functions as
<span>y1(x) =3x^2 - 5x,
y2(x) = 2x^2 - x - c
The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b)
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c)
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.
It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.
</span>
<span>"Pater romuli remique erat _______" translates as "The father of Romulus and Remus is____". The answer is 1) Mars. According to myth Rhea Silvia, who is the mother of the two brothers, claimed that the father of her children was the god Mars.</span>
Answer:
The first one is -1/2
the second one is x+2y-27=0
The answer would be 30 degrees because points F, G, H, and J are collinear, all you would have to do is figure out /_GHK by subtracting 180 degrees from it.
Like this :
JHK = 180 degrees - 120 degrees = 60 degrees
