we have

<u>Statements</u>
<u>case A)</u> The graph is a straight line.
The statement is True
Because, this is a linear equation (see the attached figure)
<u>case B)</u> The line passes through the origin.
The statement is False
Because the point
is not a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is not true
the point
is not a solution
therefore
The line does not pass through the origin
<u>case C)</u> The line passes through the point 
The statement is True
Because the point
is a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is true
the point
is a solution
therefore
The line passes through the point 
<u>case D) </u>The slope of the line is 
The statement is False
Because, the slope of the line is 
<u>case E)</u> The y-intercept of the line is 
The statement is False
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For 
find the value of y

the y-intercept is equal to 
Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
Answer:
319 square feet.
Step-by-step explanation:
The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.
The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.
Therefore, we have that the total area of the four walls is
192 +160 = 352 square feet
However, we have a door and a window that won't be painted.
The area of the door is: 3 x 7 =21 square feet
The area of the window is 3 x 4 = 12 square feet
Thus, the total amount of area that won't be painted is
21 + 12 = 33 square feet.
So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:
352 - 33 = 319 square feet.
Thus, she will paint 319 square feet
The temperature of soup after 25 minutes is 
<em><u>Solution:</u></em>
The temperature of chicken soup is 192.7°F
As it cools, the temperature of the soup decreases 2.3°F per minute
Let the initial temperature be 
Let "t" be the time for rate of decrease
Set up an equation
Temperature = Initial temperature - decrease in temperature
Decrease in temperature = rate of decrease x time
Therefore,

<em><u>To find the temperature of soup after 25 minutes, substitute t = 25</u></em>

Thus the temperature of soup after 25 minutes is 
Your answer should be C. 3x^3√2