A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yar
1 answer:
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Given:
A line passes through (1,-2) and is perpendicular to .
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.
Slope of this line is
Product of slope of two perpendicular lines is -1.
Now, slope of required line is and it passes through (1,-2). So, the equation of line is
where, m is slope.
Therefore, the equation of required line is .
Answer:
This is a proportional relationship, the constant of proportionality is 20m/s and it represents that the horse can run 20 meters every second.
Equation: d = 20s, where d=distance and s=number of seconds.
Step-by-step explanation:
In order to find out whether this relationship is proportional, you need to see if the rate at which the horse runs is constant (the same). If you look at the three sets of data (24, 480), (40, 800) and (60, 1200) where the pair is (seconds, meters), you can see that for any two sets of data the change in meters divided by the change in seconds is consistently 20m/s. For example:
Since the constant is 20, we know that the horse can run 20 meters every second. To find the horse's total distance, we need to multiply the rate by the number of seconds that it runs:
d = 20s
By inspection 1 is a root of y ,
Hence , (x-1) is a factor of y ,
Hence , the 2 other roots are -1/2 and 3 , and the above graphs confirms the same.
Hope it helps you :)
