Given that x2 + y2 + k = 60 and x = \(\sqrt{10}\) when y = 4, find the value of k.
a
56
b
34
c
32
d
-34
e
-56
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Hayat00
2 years ago
To find the value of k, we can substitute the given values into the equation and solve for k.
Substituting x = √10 and y = 4 into the equation x^2 + y^2 + k = 60, we have:
(√10)^2 + 4^2 + k = 60
10 + 16 + k = 60
26 + k = 60
Next, we'll isolate k by subtracting 26 from both sides of the equation:
k = 60 - 26
k = 34
Therefore, the value of k is 34.


