A50-gallon rain barrel is filled to capacity. it drains at a rate of 10 gallons per minute. write an equation to show how much water is in the barrel after x minutes of draining. then make a graph for this function

The quantity of water drain after x min is 50  

Step-by-step explanation:

Given as :

Total capacity of rain barrel = 50 gallon

The rate of drain = 10 gallon per minutes

Let The quantity of water drain after x min = y

Now, according to question

The quantity of water drain after x min = Initial quantity of water ×  

I.e The quantity of water drain after x min = 50 gallon ×  

or,  The quantity of water drain after x min = 50 gallon ×

Hence the quantity of water drain after x min is 50  Answer

Step-by-step explanation:

Let x represent number of minutes of draining.

We have been given that a barrel drains at a rate of 10 gallons per minute. So gallons drained after x minutes of draining would be .

Since the numbers of gallons is decreasing, so slope will be negative as:

We are also told that the 50-gallon rain barrel is filled to capacity. This means that initial value or y-intercept is 50.

We can represent number of gallons remaining (y) after x minutes as:

Therefore, the equation shows the amount of water in the barrel after x minutes of draining.  

Upon graphing our equation, we will get required graph as shown in the attachment.

step-by-step explanation: 4 cause 2+2=4

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it