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Location of two points that lie on the line is needed to define an equation of the line. The general equation of a line is in the form y = mx + c, where m is the gradient of the line and...

If side A is 3m and side B is 4m, what would be the length of the remaining side C?
A = 3m ; B = 4m ; C =?Use Pythagoras Theorem to give the equation: A² + B² = C² R...

The probability of getting heads at least once is the same as saying the probability of getting heads: exactly once, exactly twice or exactly three times. This is also 1 minus the probability of getting ...

n(n+5)+2(n+3) = n²+5n+2n+6 = n²+7n +6 = (n+6)(n+1) = (n+6) x (n+1).
The difference between (n+6) and (n+1) is 5, so this is a product of two numbers with a difference of 5.

4x² + 6x - 4 > 0 2(2x² + 3x - 2) > 0 2(2x - 1)(x + 2) > 0
2x-1 = 0 --> 2x = 1 --> x = 0.5x+2 = 0 --> x = -2
x = 0.5