Answer:
k= -32\3
Step-by-step explanation:
See attachment for the image of Quadrilateral ABCD under the translation (x, y) to (x-5, y)
<h3>How to draw the image of Quadrilateral ABCD under the translation?</h3>
The image that completes the question is added as an attachment
From the attached graph, we have the following coordinates
A = (6, -5)
B = (0, -3)
C = (5, -2)
D = (5, -4)
The translation is given as:
(x, y) to (x-5, y)
So, we have:
A' = (1, -5)
B' = (-5, -3)
C' = (0, -2)
D' = (0, -4)
See attachment for the image of Quadrilateral ABCD under the translation (x, y) to (x-5, y)
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If the coefficient matrix has a pivot in each column, it means that it is shaped like this:
So, the correspondant system
will look like this:
This turn into the following system of equations:
The last equation is solvable for : we easily have
Once the value for is known, we can solve the third equation for :
(recall that is now known)
The pattern should be clear: you can use the last equation to solve for . Once it is known, the third equation involves the only variable . Once