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:
C /2pi = r
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi*r
We want to solve for r
Divide each side by 2 pi
C / 2pi = 2*pi*r / 2pi
C /2pi = r
Answer:
a = -0.6b + 0.2c
Step-by-step explanation:
Simplifying
5a + 3b = c
Solving
5a + 3b = c
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-3b' to each side of the equation.
5a + 3b + -3b = -3b + c
Combine like terms: 3b + -3b = 0
5a + 0 = -3b + c
5a = -3b + c
Divide each side by '5'.
a = -0.6b + 0.2c
Answer:
48,42,38.
Step-by-step explanation:
The numbers go down by 6, so just subtract.
