Answer:
y = 14
Step-by-step explanation:
∠BCF and ∠EFH are same side interior angles and are supplementary, hence
5x - 66 +2x + 50 = 180
7x - 16 = 180 ( add 16 to both sides )
7x = 196 ( divide both sides by 7 )
x = 28
∠BCF = 5x - 66 = (5 × 28) - 66 = 140 - 66 = 74
∠ACD = ∠BCF ( vertical angles ), hence
9y - 52 = 74 ( add 52 to both sides )
9y = 126 ( divide both sides by 9 )
y = 14
An equation for the parabola would be y²=-19x.
Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis. This means we will use the standard form
(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.
Beginning with the directrix:
x=h-p=4.75
h-p=4.75
Since the vertex is at (0, 0), this means h=0 and k=0:
0-p=4.75
-p=4.75
p=-4.75
Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
y²=-19x
Answer:
n+5×4-7
Step-by-step explanation:
-3y -21 +8 = -28
-3y -13 = -28
-3y = -15
y= 5
37.68 is the correct answer
