The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?

13 and 8

Step-by-step explanation:

a-b = 5

==> a = b+5

a^2 + b^2 = 233

plug in a = b+5: (b+5)^2 + b^2 = 233

b^ + 10b + 25 + b^2 = 233

2b^2 + 10b -208 = 0

use the quadratic formula:

b = 8 or -13 (-13 doesn't work cuz it asks for positive numbers)

so if b = 8, then a = 5+b = 5+8 = 13

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )