Carcass wrote:
Which of the following could be the values of x and y for \(x^2 + y^2 > 25\)?
(A) (-5, 0)
(B) (-3, -4)
(C) (-4, -1)
(D) (3/4, 3)
(E) (4, -4)
Let's start testing answers choices...
(A) (-5, 0)Plug \(x = -5\) and \(y = 0\) into the inequality to get: \((-5)^2 + 0^2 > 25\), which simplifies to be \(25 > 25\), which is NOT TRUE
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(E) (4, -4)Plug \(x = 4\) and \(y = -4\) into the inequality to get: \(4^2 + (-4)^2 > 25\), which simplifies to be \(32 > 25\), which IS TRUE
Answer: E