A man is trying to zombie-proof his house. He wants to cut a length of wood that will brace a door against a wall. The wall is 4 feet away from the door, and he wants the brace to rest 2 feet up the door. About how long should he cut the brace?

About 4.5 feet

Step-by-step explanation:

using Pythagorean Theorem : a^2 + b^2 = c^2

(2)^2 + (4)^2 = c^2

4 + 16 = c^2

20 = c^2

Take the the square root of 20 using a calculator and you get 4.47.

Round that up to 4.5

yes

Step-by-step explanation:

(3,1); x + 3y = 6  4x - 5y = 7

(3,1)=(x,y)

3 + 3(1) = 6   4(3) - 5(1) =7

3 + 3 = 6        12 - 5 = 7

6=6                 7=7

Therefore, (3,1) is a solution to the two equations x + 3y = 6 and 4x - 5y = 7