Acylindrical container has a height of 24 inches. currently, the container is filled with water to a height of 18 inches. a leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. the equation below can be used to find t, the number of hours it would take to fill the container. 18 + ? t = 24 what number should be the coefficient of t?

2

Step-by-step explanation:

The rate at which the height increases is 2 inches per hour. That is the slope of the equation.

18 + 2t = 24

The coefficient of t is 2.

2

Step-by-step explanation:

We are given that a cylinder container has a  height of 24 inches.

Currently, the container filled with water to a height=18 inches

If the height of the water in the container increase by 2 inches per hour

We are given that an equation which can be used to find the t in number of hours it would take to fill the container

We have to find the coefficient of t

In one hour, height increase=2 inches

In t hours, height increase=2t

According to question

Therefore, the coefficient of t is 2.

Hence, the number should be the coefficient of t=2

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3