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: 9,953
Step-by-step explanation:
The first step is to find what the sales tax rate is for the first car because it will be the same for the second.
11,900/767 = .064
Now to find the cost of the second car we divide.
637/.064 = 9,953.125 Round to nearest dollar.
Answer:
182 gallons tell me if im right
Step-by-step explanation:
14 times 13 = 182 gal
The value of 
Step-by-step explanation:
Given: The function 
Using this formula, we need to find the value of 
Hence, we need to substitute 
by 
to find the value of
Multiplying the term 
by 
, we get,
Adding the constant term,
Thus, the value of is
Answer:
x = 15
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
3x - 10 + 6x + 5 + 4x - 10 = 180, simplify left side
13x - 15 = 180 ( add 15 to both sides )
13x = 195 ( divide both sides by 13 )
x = 15
