Regan is making trail mix for a camping trip. Regan wants to use one kind of nuts and one kind of dried fruit, and there are
2 kinds of nuts and 10 kinds of dried fruit available. How many
different trail mixes can Regan make?

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,

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: