SOLUTION: If y^2 + z^2 = 20 and 40 percent of 75 percent of p is the average of y and z, then what is the value of p?

Question 259696: If y^2 + z^2 = 20 and 40 percent of 75 percent of p is the average of y and z, then what is the value of p?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We have this equation
(i)
and then
40 percent of 75 percent of p is the average of y and z translates to be
(ii)
which is
(iii)
and then
(iv)
we can solve this for p to get
(v)
--
Looking back at (i)
y = +-2, z = +-4
or
y= +-4, z = +-2
--
we have 8 options:
option 1: y = 2, z = 4. p = 10
option 2: y = 2, z = -4. p = -10/3
option 3: y = -2, z = 4. p = 10/3
option 4: y = -2, z = -4. p = -10
--
option 5: y = 4, z = 2. p = 10
option 6: y = 4, z = -2. p = 10/3
option 7: y = -4, z = 2. p = -10/3
option 8: y = -4, z = -2. p = -10
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