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We are given a rectangle ABCD
A(-2, 3)
B(4, 6)
We are asked to find the slopes of sides BC, CD, and DA.
Let me first draw a rectangle to better understand the problem
Recall that the slope is given by


So the slope of side AB is

The sides BC and DA are perpenducluar to the side AB.
So their slopes will be

Substituting the value of slope of AB

The side CD is parallel to the side AB.
Parallel sides have equal slopes so

Therefore, the slopes of the rectangle ABCD are
Answer:
x < 1
Step-by-step explanation:
This is the answer because:
1) 11 + 2 = 13 and 13 is not less than 13, it is equal to 13. Therefore, x has to equal anything less than 1 because then only inequality statement will be true.
Therefore, the answer is x < 1.
Hope this helps! :D
Answer:
35 hotdogs and 52 sodas sold.
Step-by-step explanation:
x = the number of hotdogs sold, x>0
y = the number of sodas sold, y>0
At the end of the night you made a total of $78.50:
1.50x + 0.50y = 78.50
You sold a total of 87 hotdogs and sodas combined:
x + y = 87
We have the following system of equations:
1.50x + 0.50y = 78.50
x + y = 87