19/4 can also be written as 16/4+3/4 so the mixed fraction will be 4+3/4...in other words 4 3/4. And to check it, you can multiply the denominator (here, 4) by the whole number(here, 4) and then add the numerator(here, 3)
Which adds up to 19/4! :)
Answer:
in the space of x we'll equate it to 5-y
2(5-y)+3y=12
10-2y+3y=12
-2y+3y=12-10
y=2
subt y into first equation (x=5-y)
x=5-2
x=3
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=−1/4x²<span>−x+3
where
a=-1/4
b=-1
c=3
</span><span> the coordinates of the focus are
</span>
(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2
y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3
the coordinates of the focus are
(-2,3)
Thirty six thousandths = 0.036
