If
and
are inverse proportional to one another, then for some constant volume
we have

It takes 45 min to empty a tank containing at 300 gal/min, so the tank contains

of liquid.
If it's emptied at 500 gal/min, it would take

to make a perpendicular function from another we must take its slope and make two transformations
the slope of y=1/3x is 1/3
the transformations:
1.
reverse the number

2.
and change the sign

ok we have the slope now need the general equation of the line

where m is the slope , b a cut point and (x,y) a point
so, we have the slope=-3 , and the point (2,-3) we can replace to find b

now we can replace b and the slope to have the final equation
The length of side BD is; 13.
<h3>Length measure in a triangle</h3>
From the given diagram;
- It follows that the ratio which holds is;
12 : x = 27 : x + 5
12/x = 27/x+5
27x = 12x +60
- subtract 12x from both sides
15x = 60
x = 4.
On this note, the length of the line BD is;
= BC + CD
= 4 + (4 + 5)
= 4 + (9)
= 13
Therefore, the length of the line BD is 13.
Read more on triangle length measures;
brainly.com/question/25713164