Given that x2 + y2 + z2 = 194, calculate z if x = 7 and (sqrt{y}) = 3
-
A.
(sqrt{10}) -
B.
8 -
C.
12.2 -
D.
13.4
Correct Answer: Option B
Explanation
Given that x2 + y2 + z2 = 194, calculate z if x = 7 and (sqrt{y}) = 3
x = 7
∴ x2 = 49
(sqrt{y}) = 3
∴ y2 = 81 = x2 + y2 + z2 = 194
49 + 81 + z2 = 194
130 + z2 = 194
z2 = 194 – 130
= 64
z = (sqrt{64})
= 8