<span>1) y varies directly with x, then we have: y = kx, k is the constant of variation
y = kx
14 = - 4k
k = 14/- 4, or - 7/2, or - 3.5
y = kx
y = - 3.5(- 6)
y=21
2) </span><span>201.6 is the right answer.see the procedure used in Q1.
3) K = y/x
= 9/12
= 3/4</span>
Answer:
Height of ceiling = 9.04ft
Step-by-step explanation:
Given:
Length of pole = 5ft
Horizontal angle = 
Jenny's height = 5ft6in = 5ft + (6/12)ft= 5ft + 0.5ft
Jenny's height = 5.5ft
From the attached diagram, we have that

b ≅ 3.54ft
Height of ceiling = Height of Jenny + b
Height of ceiling = 5.5ft + 3.54ft
Height of ceiling = 9.04ft
Answer:
3 units
Step-by-step explanation:
So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.
So we will need to find h(0)
- h(0) = 5(0)² + 10(0) + 3 = 0 + 0 + 3 = 3
no real solutions
The conditions for the discriminant are
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real solutions