Bear in mind that, is an isosceles
right-triangle, so, one angle is 90°.
check the picture below.
A translation of
units upwards and
units to the right is represented by the transformation

So, to translate 5 right and 7 down, we need

Now we just need to plug x=x-5 and y=y+7 in our equation (remember f(x)=y):

The answer is

Answer:
2
Step-by-step explanation:
From the diagram attached :
AB = AD + BD = 3t + 3t = 6t
BC = BE + EC = 4t + 4t = 8t
AC = 7t + 6
Perimeter of the triangle = 48
Perimeter of a triangle (P) :
P = AB + BC + AC
48 = 6t + 8t + 7t + 6
48 - 6 = 6t + 8t + 7t
42 = 21t
t = 42 / 21
t = 2