Answer:
16 seconds (Approximately)
Step-by-step explanation:
Given:
The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:
Final position of the snowboarder is 
Now, plugging in 100 for 'd' and solving for 'x', we get:
Adding -1100 both sides, we get:
Dividing both sides by -4, we get:
Taking square root and neglecting the negative root as time can't be negative. So,
Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.
Vertex form is basically commplete the square
y=a(x-h)^2+k
y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45
answer is A
6 = k/9 => k = 6 x 9 = 54 N
a = 54/2 = 27 meters per second per second
Answer:
y = 112
Step-by-step explanation:
If y varies directly as the square of x
mathematically;
y ∝ x²
y = kx² where 'k' is the constant of proportionality
let u know the value of k for this equation by making k the subject of the formular from y = kx²
divide both sides by x²
k = y / x²
given that y = 567 x = 9
k = 567/(9)²
k = 567/81
k = 7
now to get the value of y when x = 4
from the equation conneting x, y,
y = kx²
y = 7 × (4)²
y = 7 × 16
y = 112
The answer is the THIRD option "C"
Im in collage.
