Separate question on this: why can you plug in the coordinates of point A (7,2) to find the y-intercept for the perpendicular bisector (which should not go through point A because it is bisecting line AB)?

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This question came up in my last CAT. "If y is not equal to 4, x is not equal to 0, and y^2-16/3x = y-4/6, then in terms of x, y equals?" I have two questions - if y is not equal to 4, what is the math rule that allows you to eliminate the two (y-4)s when they aren't set equal to 0? Second...

Yes, your assumptions about the formats were correct. Sorry for any confusion and thanks for the help.

If a and b are nonzero integers, which of the following must be negative? a) (-a)^(-2b) b) (-a)^(-3b) c) -(a^(-2b)) d) -(a^(-3b)) e) None of these I understand the logic and the explanation around a being negative or positive, but less so with b. Does b's sign even matter because a taken to a negati...

Ok, so a^(even integer) will always be positive, even if the even integer exponent is negative? Or do you have to make it positive by multiplying by -b?

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If x is positive, is x>3? 1) (x-1)^2 > 4 2) (x-2)^2 > 9 I got this question right but I wanted to confirm/check my reasoning. For statement one I took the square root of each side and got (x-1)>absolute value of 2. Adding one to both + and negative values of 2 leads to x>3 and x>-1...

What is the greatest common divisor of positive integers m and n? 1) m is a prime number 2) 2n=7m Answer is C. 1) insufficient - says nothing about n 2) can simplify to m/n = 2/7, but because numbers are in this ratio, can't determine greatest common divisor because it could be any multiple of both ...