Kayla and Mario are playing with a football at the park on a windy day. Mark throws the football straight up in the air, and a gust of wind blows it 10 feet west and 4 feet south from Mark. If [x y] represents the original location of the football, write a matrix that represents the location of the translated ball.

|x-10 y-4|

Step-by-step explanation:

Let the initial position where the football is thrown up the air be x and y.

After the ball is thrown up the air it moves 10 feet west 4 feet south because of the gust of wind.

Therefore the change in x is by 10 feet west and is at the point x - 10 and the change in y is by 4 feet south and is at the point y - 4.

Thus the matrix representing the position of the football is |x-10 y-4|.

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