The Top of the World Restaurant in Las Vegas, Nevada, revolves 360° in 1 hour
and 20 minutes. A piano that is 38 feet
from the center of the restaurant starts at
position (38, 0). What are the coordinates
of the piano after 15 minutes? Round
coordinates to the nearest tenth if
necessary.
A (0, 38)
B(-38, 0)
C(14.5, 35.1)
D (35.1, 14.5)

4 puzzles in 3 hours

step-by-step explanation:

answer: your answer is c

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0