Answer:
y = 1/3x - 3
Step-by-step explanation:
If the line is perpendicular to y = -3x + 11, it means that the two gradients multiply to make -1.
So the gradient of the perpendicular line is 1/3 (-3 × 1/3 = -1)
y = 1/3x + c
Next, substitute x = -9, and y = -6 to find the y intercept, or c:
-6 = 1/3(-9) + c
-6 = -3 + c
c = -6 + 3
c = -3
The equation of the line is y = 1/3x - 3
Using proportions, it is found that $1,225 is earned from nachos.
- This question is solved by <em>proportions</em>, using a rule of three.
- The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.
- When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?
The <em>rule of three</em> is:
$1,540 - $1,330
$1,672 - $x
Applying line multiplication:



$1,225 is earned from nachos.
To learn more about proportions, you can take a look at brainly.com/question/24372153
In statistics, the amount of degrees of freedom is
the quantity of values in the final computation of a statistic that are free to
differ. In this case, you can get the answer by adding the number of bags
and subtracting 1.
So in computation, this would look like: 3 + 2 + 1 + 2 - 1 =
7
Therefore, 7 is the degrees of freedom.
The transformation (x,y) --> (x,-y) is reflection over x axis. while the x coordinates in the image stay the same as the original, y coordinates change the sign.
Therefore coordinates of original image and final image after reflection
E - (0,3) --> E' (0,-3)
F - (2,2) --> F' (2,-2)
G - (1,1) --> G' (1,-1)
The diagram attached shows both the original image and image after reflection