A.) y = ut - 1/2gt^2 + 12
y = 6t - 1/2(9.8)t^2 + 12
y = 6t - 4.9t^2 + 12
b.) The y-intercept is 12
c.) The y-intercept represent the height of the ball at time t = 0
d.) At the time the ball reaches the ground, y = 0
-4.9t^2 + 6t + 12 = 0
t = 2.29 seconds
Therefore, it took the ball 2.29 seconds to reach the ground.
The choices for this question is found elsewhere and as follows:
<span>A. 16/9
B. 4/3
C. 32/9
D. 64/27
</span>
From the choices, i think the correct answer from the choices listed above is option B since from the situation you are reducing the ratio. Hope this answers the question.
Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
_____
<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
15.000 ÷ 100
150 = 1%
1650 = 11%
1650 x 16 = 26.400
26.400 + 15.000 = 41.400
So 41.400 is the population number now.
