We first have to come up with an equation that satisfies this. The equation is y+11=7.
Then we subtract 11 from both sides. y+11-11=7-11.
Then we get the answer y=-4.
3x^2- 27 … you divide the whole thing by 3 to get x^2- 9 and that’s the furthest you can simplify
Answer:
What is your question?
Step-by-step explanation:
we have
![y=\frac{1}{3}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx-2)
<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
![0=\frac{1}{3}*0-2](https://tex.z-dn.net/?f=0%3D%5Cfrac%7B1%7D%7B3%7D%2A0-2)
------> 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 ![(0,-2)](https://tex.z-dn.net/?f=%280%2C-2%29)
The statement is True
Because the point
is a solution of the equation
Verify
Substitute the value of x and y in the equation
![-2=\frac{1}{3}*0-2](https://tex.z-dn.net/?f=-2%3D%5Cfrac%7B1%7D%7B3%7D%2A0-2)
------> is true
the point
is a solution
therefore
The line passes through the point ![(0,-2)](https://tex.z-dn.net/?f=%280%2C-2%29)
<u>case D) </u>The slope of the line is ![3](https://tex.z-dn.net/?f=3)
The statement is False
Because, the slope of the line is ![m=\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D)
<u>case E)</u> The y-intercept of the line is ![2](https://tex.z-dn.net/?f=2)
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 ![x=0](https://tex.z-dn.net/?f=x%3D0)
find the value of y
![y=\frac{1}{3}*0-2=-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%2A0-2%3D-2)
the y-intercept is equal to ![-2](https://tex.z-dn.net/?f=-2)
Answer:
A right triangle with degrees 20, 70, 90.
Step-by-step explanation: