Answer:
The diagonals of the polygon ABCD bisect each other
Step-by-step explanation:
The given vertices of the polygon are;
A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1)
Given that the vertices of the polygon in clockwise order from the top left corner are ABCD, we have the diagonals as AC and DB
By the midpoint formula, we have;
Where;
= The midpoint coordinates
Therefore, the midpoint of diagonal AC = 
The midpoint of diagonal DB = 
Therefore, given that the coordinates of the location of the midpoint of the diagonals AC and DB is the same, the diagonals bisect each other
Each diagonal passes through the midpoint of the other diagonal.
Answer:
the coordinates for c is 5, -17
Step-by-step explanation:
Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = 
B = 
C = 
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets 
.
Mrs. Baca's class gets 
.
And Mr. Canyon's class gets 
.
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
Well, in order to first determine the slope or y-intercept, you must put change the equation to this format: y=mx+b.
m=slope and b=y-interceptI
in order to do that, you must change this equation.
x+3y=9
-x -x
----------
3y=9-x
Then, rewrite it as:
3y=-x+9
_______
3 3
simplify to
y=-x/3 +9
