Answer:
first option
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = - 2 (x - 6)² + 18 ← is in vertex form
with vertex = (6, 18 )
Make a system of equation before finding the numbers. d stands for denominator and n stands for the numerator.
⇒ d = n - 4 (first equation)
⇒ (n + 3)/(d + 3) = 2 (second equation)
Simplify the second equation
(n + 3) / (d + 3) = 2
(n + 3) = 2(d + 3)
n + 3 = 2d + 6
Solve the equation system by subtituting d with n-4 from the first equation into the second equation
n + 3 = 2d + 6
n + 3 = 2(n - 4) + 6
n + 3 = 2n - 8 + 6
n + 3 = 2n - 2
n - 2n = -2 - 3
-n = -5
n = 5
The original numerator is 5
Find the original denominator by inputing 5 as numerator to one of the equation
d = n - 4
d = 5 - 4
d = 1
The original denominator is 1
So the original fraction is 5/1
Sin (angle) = opposite leg / hypotenuse
Sin(x) = 2.1/4
x = arcsin(21./4)
x = 31.7 degrees
Answer:
3V
r = ∛ ( ---------- )
4π
Step-by-step explanation:
Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction. Also note that this formula MUST include "pi," symbolized by π.
V = (4/3) π r³ This formula does NOT include "m," which is a unit of measurement, not a variable.
Our task is to solve this formula for the radius, r.
Divide both sides by (4/3) π, to isolate r³. This results in:
v (4/3) π r³
------------- = -----------------
(4/3) π (4/3) π
V 3V
Then r³ = -------------- = --------
(4/3) π 4π
and r is found by taking the cube root of the above result:
3V
r = ∛ ( ---------- )
4π
Answer:
a=70 b=.16 c=350
Step-by-step explanation:
50 messages is 8 dollars
