Answer:
t = 5.46 secs and t = 2.42 secs
Step-by-step explanation:
The distance of the ball from the ground is given by:
When the ball is at a distance 211 ft from the ground, that means s(t) = 211 ft. we need to find t:
Using the quadratic formula:
and 
where a = 16, b = 126 and c = 211
Hence:
and 
and 
and 
and 
and 
=> t = 5.46 secs and t = 2.42 secs
This means that the ball will be at 211 feet at two different times, first, after 2.42 seconds and then after 5.46 seconds.
This makes sense because the ball is projected upwards, which means that when going up, it attains 211 feet and also, when coming back down, it also attains 211 feet.
Answer:
Step-by-step explanation:
= 
We need a common denominator before we can add.
+ 
means the same thing as
- =
Answer:
209,000
Step-by-step explanation:
(500+200=700)
(700*300=210000)
210000-1000=209,000
Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that
The number 'k' is called the constant of proportionality.
Given the equation
as
so
∵
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.
Answer:
y = -(8/5)x + 3
Step-by-step explanation:
Step 1: Rewrite the given equation into slope-intercept form by solving for y
8y−16=5x
8y = 5x + 16
y = (5/8)x + 2
Perpendicular lines have slopes that are opposite reciprocals of each other. That means you take the slope, flip the fraction, and change the sign.
Here our given line is y = (5/8)x + 2 so the slope 5/8
The opposite reciprocal of 5/8 is -8/5
We set up the equation
y = -(8/5)x + b
we are given a point (x, y) of (5, -5), so plug that in and solve for b
-5 = -(8/5)(5) + b
-5 = -8 + b
3 = b
So our equations is y = -(8/5)x + 3
