Given that the root of an the equation \(2x^2 + (k+2)x+k=0\) is 2, find the value of k

From a point P, R is 5km due west and 12km due south. Find the distance between P and R

Evaluate, correct to the nearest whole number \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\)

Correct 0.04945 to two significant figures

Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)

A fair die is tossed once, what is the probability of obtaining neither 5 or 2

Simplify \(\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}\)

A man bought 220 mangoes at N5x. He sold each for 3x kobo and made a gain of N8. Find the value of x

Find the equation whose roots are 2 and \(-3\frac{1}{2}\)