12 is the square root of 144.
~Silver
A pair of numbers is a solution of y = -3x if the second number, y, is -3 times the first number, x.
What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.
For each answer choice, you have to check all three of the given pairs.
(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.
Can you finish it?
Arc length = radius * central angle (in radians)
central angle = arc length / radius
central angle = 7 / 7
central angle = 1 radian
central angle = 57.296 degrees
Notice how 2^2 = 4 is one short of 5, so this means we can say 4/5 = 0 remainder 4 or we can write that "remainder 4" as "remainder -1" to say the same basic thing
Using modulus arithmetic, we can say...
2^2 = 4 = -1 (mod 5)
(2^2)^31 = (-1)^31 = -1 (mod 5)
2*(2^2)^31 = 2*(-1) (mod 5)
2^63 = -2 = 3 (mod 5)
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So the remainder of 2^63 divided by 5 is the value 3
Answer: 3
