∆ABC has vertices A(-5,2), B(0,-4) and C(3,3). What are the vertices of the image of ∆ABC after the translation (x, y)→(x+7,y-5)?

The vertices of the image of the triangle ABC are , and , respectively.

Step-by-step explanation:

Let , and the vertices of triangle ABC. From Linear Algebra we define translation by the following vector sum:

(Eq. 1)

Where:

- Original vector with respect to origin, dimensionless.

- Translated vector with respect to origin, dimensionless.

- Relative vector of the translated vector with respect to original vector, dimensionless.

If we know that , the images of each vertex are, respectively:

(Eq. 2)

(Eq. 3)

(Eq. 4)

The vertices of the image of the triangle ABC are , and , respectively.

i do not know the answer

step-by-step explanation:

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