Answer:
y
=
−
x
+
9
Step-by-step explanation:
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We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
Answer:
Right
Step-by-step explanation:
For a contrapositive, we switch the hypothesis and conclusion and then negate it.
Switch
If it is a tree, then it is an elm
Negate
If it is not a tree, then it is not an elm.
Not tree belongs inside not elm
Right
Answer:
(x*9)+3=7
Step-by-step explanation:
three more is +3
product of a number and 9 is x*9
and equal to seven is =7
Answer:
g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
2 + 6g = 11 - 3g
Add 3g to both sides.
2 + 9g = 11
Subtract 2 from both sides
9g = 9
g = 1