Final answer:
Combining translations T(4,5) and T(3,1) equals T(7,6) by adding the corresponding components, which leads to choice A) T(7,6) as the correct answer.
Step-by-step explanation:
The question asks to combine two transformations, T(4,5) and T(3,1), into a single transformation. In this context, T(a,b) typically refers to a translation transformation, which moves a point a units in the x-direction and b units in the y-direction.
To find the overall transformation, we simply add the x and y components of each transformation together:
- x-component: 4 + 3 = 7
- y-component: 5 + 1 = 6
Therefore, the composition of T(4,5) and T(3,1) is T(7,6), which corresponds to choice A).