Answer:
x = 32
The 9 and 4 ball are farthest from each other.
Step-by-step explanation:
Since the angles of a triangle add up to 180 degrees, you can create the equation (x-5)+(2x+1)+(3x-8)=180, which can be simplified to 6x-12=180. That means the value of x is 32. That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees. Based on the angles, the farthest distance would be between balls 9 and 4.
Answer:
<em>3 seconds</em>
Step-by-step explanation:
Given the height modelled by the function
h(t) = -16t² + 16t + 96
The hit the water at h(t) = 0
0 = -16t² + 16t + 96
Divide through b y -16
0 = t² - t - 6
t² - t - 6 = 0
t² - 3t+2t - 6 = 0
t(t-3)+2(t-3) = 0
t+ 2 = 0 and t - 3 = 0
t = -2 secs and t = 3secs
Since t can't be negative, hence;
t = 3 secs
<em>hence it will take 3 seconds until Devon hit the water</em>
Answer:
The answer to your question is: (1/2, 5)
Step-by-step explanation:
Parabola f(x) = 8x² - 8x + 7
y = 8x² - 8x + 7
Vertical Parabola equation
( x - h)² = 4p (y - k) Transform the original equation to this form
8x² - 8x = y - 7
8(x² - x + ( )²) = y - 7 Complete squares
8 (x² - x + (1/2)²) = y - 7 + 2 Simplification
8 (x² - x + 1/4) = y - 5
(x - 1/2)² = 1/8 (y - 5)
Finally Vertex
(1/2 , 5)
