Lincoln is building a wooden garage door in the shape of a rectangle with a width of 16 ft and a height of 8 feet. Lincoln is going to place two boards in the shape of an x on the door. How many feet of materials will he need for the X?

Length of material needed = 35.8 feet

Step-by-step explanation:

Door of the wooden garage is in the shape of a rectangle with dimensions 16 ft × 8 ft.

Lincoln is going to place two boards in the shape of an X on the door.

From the picture attached,

Diagonals of the rectangular door will be equal in measure.

Therefore, length of the material = 2×(Diagonal of the rectangle)

By applying Pythagoras theorem in the rectangle,

(Diagonal)² = 16² + 8²

Diagonal = = 17.89

Therefore, length of material = 2 × 17.89

                                                = 35.77

                                                ≈ 35.8 feet

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.