<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>H</em><em>ope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>be</em><em> </em><em>helpful</em><em> </em><em>to</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em><em>.</em>
<h3>
<em>Good</em><em> </em><em> </em><em>luck</em><em> </em><em>on </em><em>your</em><em> </em><em>as</em><em>signment</em></h3>
<em>-pragya~</em><em>~</em>
Answer:
The rate of the runner is 3.5 meters per second.
Step-by-step explanation:
To get this answer in meters per second, we first have to convert each of the terms into either meters or seconds. We can do that by multiplying by unit rates.
21 km * 1000 = 21,000 meters
1 hour * 3600 = 3,600 seconds
40 minutes * 60 = 2,400 seconds
Now we divide the meters by the total number of seconds to get the rate.
21,000 meters / (3,600 + 2,400) secs
21,000 meters / 6,000 secs
3.5 meters per second.
Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are equivalent.
- Two lines are perpendicular if their slopes are negative reciprocals of each other.
- And two lines are neither if neither of the two cases above apply.
So, let's find the slope of each equation.
The first basketball is modeled by:

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

And divide both sides by four:

So, the slope of the first basketball is -3/4.
The second basketball is modeled by:

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

And divide both sides by negative eight:

So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.