Answer:
Week 4, 1400
Brainliest plz
Step-by-step explanation:
Answer:
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
Up to and after 45 minutes, the barrel is empty of water.
Step-by-step explanation:
#2.)
minutes: 5, 10, 15, 20
water(gal): 16, 14, 12, 10
Find slope: slope m = (14 - 16)/(10 - 5) = -2/5
y - 10 = (-2/5)*(x - 20)
y - 10 = (-2/5)* x + 8
y = (-2/5)*x + 18
rate of change slope means that for every minute 2/5 gallons of water is lost
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
19=1-5h-4h
19-1=-5h-4h
18=-9h
18/-9=h
h=-0.5
<h3>

are the slopes of perpendicular lines</h3>
<em><u>Solution:</u></em>
We know that,
Product of slope of a line and slope of line perpendicular to it is always equal to -1
<em><u>Option 1</u></em>


Thus, these are not the slopes of perpendicular lines
<em><u>Option 2</u></em>

This option satisfies the slopes of perpendicular lines
<em><u>Option 3</u></em>

Thus, these are not the slopes of perpendicular lines
<em><u>Option 4</u></em>
2 and 2
Product = 2 x 2 = 4
Thus, these are not the slopes of perpendicular lines
<h2>Hello!</h2>
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>
To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:

For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:

Now, substituting the equation for Ava into the equation for Kelly, we have:



To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:

For Kelly:

There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!