Answer:
$33
Step-by-step explanation:
Given: Addy had 20% off coupon.
The coupon took $8.25 off of the shirt price.
Lets assume the original cost of shirt be "x".
We know Addy had 20% off coupon, which help to reduce the price of shirt by $8.25.
∴ We can form an equation to know the original price of shirt.
⇒
⇒
Multiplying both side by 5
⇒
∴ 
Hence, The original cost price of shirt was $41.25.
Next, finding the price paid by Addy for her new shirt by reducing coupon discount from the cost of shirt.
Price paid by Addy for her new shirt= 
Hence, Addy paid $33 for her new shirt.
A coordinate grid is very handy when it comes to drawing geometric shapes such as triangles. Let's create an example triangle ABC with the locations
A = (2,3)
B = (9,5)
C = (4,-10)
Plot those points and connect the dots. That forms triangle ABC. We can translate triangle ABC to any other position we want. Let's say we want to shift it 2 units to the left. That means we subtract 2 from each x coordinate while keeping the y coordinates the same. Therefore
A' = (0, 3)
B' = (7, 5)
C' = (2,-10)
Plot triangle A'B'C' and you should see that this is a shifted copy of triangle ABC.
The rotation rules are a bit more complicated, and it depends where you place the center of rotation; however, it is possible to use coordinate math like done above.
Luckily the reflection rules over the x or y axis are fairly simple. If we reflect over the x axis, then we flip the sign of the y coordinate. Or if we wanted to reflect over the y axis, we flip the sign of the x coordinate.
Example: A' = (0,3) reflects over the x axis to get A'' = (0, -3)
Answer:
Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:
to switch into y=mx+b form do this:
3x-y=5
-y=5-3x
y=-5+3x
y=3x+(-5)
2y-15x=8
2y=8+15x
y=4+7 1/2x
y=7 1/2x+4
THe slope of any line in y=mx+b form is m. Therefore in this equation:
y=3x+(-5) 3 is the slope
The y intercept of any line is the +b:
y=7 1/2x+4 -therefore 4 in this equation is our y intercept.
Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)
since 3 is our slope and 4 is our y intercept the equatuon is :
y=3x+4
NOw all we need to do is move this into standard form:
y=3x+4
-3x+y=4
-3x+y=4 is your final answer
-hope this helped
Step-by-step explanation:
