This is for union and intersection. i need . #11-20: find the following sets. u = {1,2,3,4,5} a = {1,2,3} b = {5} 11) a’ = {4,5} 12) b’ = {1,2,3,4} 13) ∪ = {1,2,3,5} 14) ′ ∪ ' = {1,2,3,4,5} 15) ∩ = { 16) ′ ∩ ′ = {4} 17) ′ ∩ = { 18) ∩ ′ 19) ′ ∪ 20) ∪ ′

Problem 11) Start with set U = {1,2,3,4,5} and cross off 1,2,3 to be left with A' = {4,5}. We basically erase everything found in set A. You have the correct answer. Nice job.

Problem 12) Start with U = {1,2,3,4,5} and erase '5' to be left with {1,2,3,4}. So B' = {1,2,3,4}. You are correct here as well.

I can't help with the other problems since either letters, numbers or symbols are missing. Please make a new post and provide those updates.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,